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Séminaire De Géométrie Algébrique Du Bois Marie
In mathematics, the ''Séminaire de Géométrie Algébrique du Bois Marie'' (''SGA'') was an influential seminar run by Alexander Grothendieck. It was a unique phenomenon of research and publication outside of the main mathematical journals that ran from 1960 to 1969 at the IHÉS near Paris. (The name came from the small wood on the estate in Bures-sur-Yvette where the IHÉS was located from 1962.) The seminar notes were eventually published in twelve volumes, all except one in the Springer Lecture Notes in Mathematics series. Style The material has a reputation of being hard to read for a number of reasons. More elementary or foundational parts were relegated to the EGA series of Grothendieck and Jean Dieudonné, causing long strings of logical dependencies in the statements. The style is very abstract and makes heavy use of category theory. Moreover, an attempt was made to achieve maximally general statements, while assuming that the reader is aware of the motivations and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting poin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Riemann–Roch Theorem
The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the space of meromorphic functions with prescribed zeros and allowed poles. It relates the complex analysis of a connected compact Riemann surface with the surface's purely topological genus ''g'', in a way that can be carried over into purely algebraic settings. Initially proved as Riemann's inequality by , the theorem reached its definitive form for Riemann surfaces after work of Riemann's short-lived student . It was later generalized to algebraic curves, to higher-dimensional varieties and beyond. Preliminary notions A Riemann surface X is a topological space that is locally homeomorphic to an open subset of \Complex, the set of complex numbers. In addition, the transition maps between these open subsets are required to be holomorphic. The latter condition allows one to transfer the notions and methods of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fondements De La Géometrie Algébrique
''Fondements de la Géometrie Algébrique'' (''FGA'') is a book that collected together seminar notes of Alexander Grothendieck. It is an important source for his pioneering work on scheme theory, which laid foundations for algebraic geometry in its modern technical developments. The title is a translation of the title of André Weil's book ''Foundations of Algebraic Geometry.'' It contained material on descent theory, and existence theorems including that for the Hilbert scheme. The ''Technique de descente et théorèmes d'existence en géometrie algébrique'' is one series of seminars within ''FGA''. Like the bulk of Grothendieck's work of the IHÉS period, duplicated notes were circulated, but the publication was not as a conventional book. Contents These are Séminaire Bourbaki notes, by number, from the years 1957 to 1962.Fondements de la géométrie algébrique. Commentaires éminaire Bourbaki, t. 14, 1961/62, ComplémentThéorème de dualité pour les faisceaux algébr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yves Laszlo
Yves Laszlo () is a French mathematician working in the University of Paris-Sud. He specializes in algebraic geometry. Laszlo obtained his Ph.D. in 1988 from the University of Paris-Sud under the supervision of Arnaud Beauville. He started the Fondation Mathématique Jacques Hadamard in 2011, and directed it until 2012. The Beauville–Laszlo theorem In mathematics, the Beauville–Laszlo theorem is a result in commutative algebra and algebraic geometry that allows one to "glue" two sheaves over an infinitesimal neighborhood of a point on an algebraic curve. It was proved by . The theorem ... on gluing sheaves together is named after Laszlo and Beauville, who published it in 1995.. References External links Laszlo's Web page Year of birth missing (living people) Living people 20th-century French mathematicians 21st-century French mathematicians {{France-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ArXiv
arXiv (pronounced " archive"—the X represents the Greek letter chi ⟨χ⟩) is an open-access repository of electronic preprints and postprints (known as e-prints) approved for posting after moderation, but not peer review. It consists of scientific papers in the fields of mathematics, physics, astronomy, electrical engineering, computer science, quantitative biology, statistics, mathematical finance and economics, which can be accessed online. In many fields of mathematics and physics, almost all scientific papers are self-archived on the arXiv repository before publication in a peer-reviewed journal. Some publishers also grant permission for authors to archive the peer-reviewed postprint. Begun on August 14, 1991, arXiv.org passed the half-million-article milestone on October 3, 2008, and had hit a million by the end of 2014. As of April 2021, the submission rate is about 16,000 articles per month. History arXiv was made possible by the compact TeX file ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Université De Rennes I
The University of Rennes 1 is a public university located in the city of Rennes, France. It is under the Academy of Rennes. It specializes in science, technology, law, economics, management and philosophy. There are currently about students enrolled, with about members of teaching staff and other staff members employed by the university. In 2023, the University of Rennes 1 will merge with four schools in the "UNIR" project, in order to create a new University of Rennes. History Creation of the University of Brittany Asked by Francis II, Duke of Brittany, the Pope created the first university of Brittany in Nantes in 1460. It taught arts, medicine, law, and theology. In 1728, the mayor of Nantes, Gérard Mellier, asked that the university be moved to Rennes, which was more trade orientated already had the Parliament of Brittany. The law school was moved the Rennes in 1730. In 1793 the French Revolution closed all universities and it was not before 1806 that the Law school ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universiteit Leiden
Leiden University (abbreviated as ''LEI''; nl, Universiteit Leiden) is a public research university in Leiden, Netherlands. The university was founded as a Protestant university in 1575 by William, Prince of Orange, as a reward to the city of Leiden for its defence against Spanish attacks during the Eighty Years' War. As the oldest institution of higher education in the Netherlands, it enjoys a reputation across Europe and the world. Known for its historic foundations and emphasis on the social sciences, the university came into particular prominence during the Dutch Golden Age, when scholars from around Europe were attracted to the Dutch Republic due to its climate of intellectual tolerance and Leiden's international reputation. During this time, Leiden became the home to individuals such as René Descartes, Rembrandt, Christiaan Huygens, Hugo Grotius, Baruch Spinoza and Baron d'Holbach. The university has seven academic faculties and over fifty subject departments while housin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bas Edixhoven
Sebastiaan Johan Edixhoven (12 March 1962 – 16 January 2022) was a Dutch mathematician who worked in arithmetic geometry. He was a professor at University of Rennes 1 and Leiden University. Education Bas Edixhoven was born on 12 March 1962 in Leiden, Netherlands. Edixhoven graduated from in Zoetermeer in 1980. He then studied at Utrecht University where he graduated with a master's degree in pure mathematics ''cum laude'' in 1985 and a PhD in mathematics in 1989, both under the direction of Frans Oort. His thesis was about modular curves. Career Edixhoven was a Morrey assistant professor at the University of California, Berkeley from 1989 to 1991, after which he returned to Utrecht University. From 1992 to 2002, he was a professor at the University of Rennes 1. He moved to Leiden University as a Professor of Geometry in 2002. In 2004, Edixhoven and Peter Stevenhagen established Leiden's participation in the Algebra, Geometry and Number Theory (ALGANT) collaborative pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
External Links
An internal link is a type of hyperlink on a web page to another page or resource, such as an image or document, on the same website or domain name, domain. Hyperlinks are considered either "external" or "internal" depending on their target or destination. Generally, a link to a page outside the same domain or website is considered external, whereas one that points at another section of the same web page or to another page of the same website or domain is considered internal. These definitions become clouded, however, when the same organization operates multiple domains functioning as a single web experience, e.g. when a secure commerce website is used for purchasing things displayed on a Secure website, non-secure website. In these cases, links that are "external" by the above definition can conceivably be classified as "internal" for some purposes. Ultimately, an internal link points to a web page or resource in the same root directory. Similarly, seemingly "internal" links ar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Société Mathématique De France
Lactalis is a French multinational dairy products corporation, owned by the Besnier family and based in Laval, Mayenne, France. The company's former name was Besnier SA. Lactalis is the largest dairy products group in the world, and is the second largest food products group in France, behind Danone. It owns brands such as Parmalat, Président, Siggi's Dairy, Skånemejerier, Rachel's Organic, and Stonyfield Farm. History André Besnier started a small cheesemaking company in 1933 and launched its ''Président'' brand of Camembert in 1968. In 1990, it acquired Group Bridel (2,300 employees, 10 factories, fourth-largest French dairy group) with a presence in 60 countries. In 1992, it acquired United States cheese company Sorrento. In 1999, ''la société Besnier'' became ''le groupe Lactalis'' owned by Belgian holding company BSA International SA. In 2006, they bought Italian group Galbani, and in 2008, bought Swiss cheesemaker Baer. They bought Italian group Parmalat in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
LaTeX
Latex is an emulsion (stable dispersion) of polymer microparticles in water. Latexes are found in nature, but synthetic latexes are common as well. In nature, latex is found as a milky fluid found in 10% of all flowering plants (angiosperms). It is a complex emulsion that coagulates on exposure to air, consisting of proteins, alkaloids, starches, sugars, oils, tannins, resins, and gums. It is usually exuded after tissue injury. In most plants, latex is white, but some have yellow, orange, or scarlet latex. Since the 17th century, latex has been used as a term for the fluid substance in plants, deriving from the Latin word for "liquid". It serves mainly as defense against herbivorous insects. Latex is not to be confused with plant sap; it is a distinct substance, separately produced, and with different functions. The word latex is also used to refer to natural latex rubber, particularly non- vulcanized rubber. Such is the case in products like latex gloves, latex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
IBM Selectric Typewriter
The IBM Selectric typewriter was a highly successful line of electric typewriters introduced by IBM on 31 July 1961. Instead of the "basket" of individual typebars that swung up to strike the ribbon and page in a typical typewriter of the period, the Selectric had an "element" (frequently called a "typeball", or less formally, a "golf ball") that rotated and pivoted to the correct position before striking the paper. The element could be easily interchanged to use different fonts within the same document typed on the same typewriter, resurrecting a capability which had been pioneered by typewriters such as the Hammond and Blickensderfer in the late 19th century. The Selectric also replaced the traditional typewriter's horizontally-moving carriage with a roller ( platen) that turned to advance the paper vertically, while the typeball and ribbon mechanism moved horizontally across the paper. The Selectric mechanism was notable for using internal mechanical binary coding and two me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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