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Teruhisa Matsusaka
(1926–2006) was a Japanese-born American mathematician, who specialized in algebraic geometry. Matsusaka received his Ph.D. in 1952 at Kyoto University; he was a member of the Brandeis Mathematics Department from 1961 until his retirement in 1994, and was that department's chair from 1984–1986. He was invited to address the International Congress of Mathematicians held in Edinburgh in 1958 and was elected to the American Academy of Arts and Sciences in 1966. During the difficult years after the Second World War, Matsusaka worked on several problems connected with Weil's ''Foundations of Algebraic Geometry''. This led to a correspondence and eventually Weil invited Matsusaka to the University of Chicago (1954–57) where they became life-long friends. After three years at Northwestern University and a year at the Institute for Advanced Study, Princeton, he went to Brandeis University in 1961 where he stayed until 1994, helping to build the department to its current prominence ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topology of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matsusaka's Big Theorem
In algebraic geometry, given an ample line bundle ''L'' on a compact complex manifold ''X'', Matsusaka's big theorem gives an integer ''m'', depending only on the Hilbert polynomial of ''L'', such that the tensor power ''L''''n'' is very ample for ''n'' ≥ ''m''. The theorem was proved by Teruhisa Matsusaka in 1972 and named by Lieberman and Mumford in 1975. The theorem has an application to the theory of Hilbert scheme In algebraic geometry, a branch of mathematics, a Hilbert scheme is a scheme that is the parameter space for the closed subschemes of some projective space (or a more general projective scheme), refining the Chow variety. The Hilbert scheme is a d ...s. Notes Algebraic geometry {{algebraic-geometry-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brandeis University Faculty
Brandeis is a surname. People *Antonietta Brandeis (1848–1926), Czech-born Italian painter *Brandeis Marshall, American data scientist *Friedl Dicker-Brandeis, Austrian artist and Holocaust victim *Irma Brandeis, American Dante scholar *Louis Brandeis, U.S. Supreme Court Justice Named for Louis Brandeis ** Brandeis Brief, a 1908 document written by Brandeis as a litigator **Brandeis University, in Massachusetts, U.S. **Brandeis-Bardin Institute, now the Brandeis-Bardin Campus of American Jewish University, in California, U.S. **Louis D. Brandeis School of Law, at the University of Louisville in Kentucky, U.S. **Brandeis Medal, awarded by the University of Louisville's Louis D. Brandeis Society **Brandeis Award (other), several different awards **Kfar Brandeis (English: Brandeis village), a suburb of Hadera, Israel See also *Brandýs nad Labem-Stará Boleslav (german: Brandeis an der Elbe), a town in the Czech Republic *Brandýs nad Orlicí (german: Brandeis an der Ad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kyoto University Alumni
Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the city had a population of 1.46 million. The city is the cultural anchor of a substantially larger metropolitan area known as Greater Kyoto, a metropolitan statistical area (MSA) home to a census-estimated 3.8 million people. Kyoto is one of the oldest municipalities in Japan, having been chosen in 794 as the new seat of Japan's imperial court by Emperor Kanmu. The original city, named Heian-kyō, was arranged in accordance with traditional Chinese feng shui following the model of the ancient Chinese capital of Chang'an/Luoyang. The emperors of Japan ruled from Kyoto in the following eleven centuries until 1869. It was the scene of several key events of the Muromachi period, Sengoku period, and the Boshin War, such as the Ōnin War, the Ho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century Japanese Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometers
Algebraic may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings. Algebraic may also refer to: * Algebraic data type, a datatype in computer programming each of whose values is data from other datatypes wrapped in one of the constructors of the datatype * Algebraic numbers, a complex number that is a root of a non-zero polynomial in one variable with integer coefficients * Algebraic functions, functions satisfying certain polynomials * Algebraic element, an element of a field extension which is a root of some polynomial over the base field * Algebraic extension, a field extension such that every element is an algebraic element over the base field * Algebraic definition, a definition in mathematical logic which is given using only equalities between terms * Algebraic structure, a set with one or more finitary operations defined on it * Algebraic, the order of ent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2006 Deaths
File:2006 Events Collage V1.png, From top left, clockwise: The 2006 Winter Olympics open in Turin; Twitter is founded and launched by Jack Dorsey; The Nintendo Wii is released; Montenegro votes to declare independence from Serbia; The 2006 FIFA World Cup in Germany is won by Italy; Gol Transportes Aéreos Flight 1907 crashes in the Amazon rainforest after a mid-air collision with an Embraer Legacy 600 business jet; The 2006 Yogyakarta earthquake kills over 5,700 people; The IAU votes on the definition of "planet", which demotes Pluto and other Kuiper belt objects and redefines them as "dwarf planets"., 300x300px, thumb rect 0 0 200 200 2006 Winter Olympics rect 200 0 400 200 Twitter rect 400 0 600 200 Nintendo Wii rect 0 200 300 400 IAU definition of planet rect 300 200 600 400 2006 Montenegrin independence referendum rect 0 400 200 600 2006 Yogyakarta earthquake rect 200 400 400 600 Gol Transportes Aéreos Flight 1907 rect 400 400 600 600 2006 FIFA World Cup 2006 was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1926 Births
Events January * January 3 – Theodoros Pangalos (general), Theodoros Pangalos declares himself dictator in Greece. * January 8 **Abdul-Aziz ibn Saud is crowned King of Kingdom of Hejaz, Hejaz. ** Bảo Đại, Crown Prince Nguyễn Phúc Vĩnh Thuy ascends the throne, the last monarch of Vietnam. * January 12 – Freeman Gosden and Charles Correll premiere their radio program ''Sam 'n' Henry'', in which the two white performers portray two black characters from Harlem looking to strike it rich in the big city (it is a precursor to Gosden and Correll's more popular later program, ''Amos 'n' Andy''). * January 16 – A BBC comic radio play broadcast by Ronald Knox, about a workers' revolution, causes a panic in London. * January 21 – The Belgian Parliament accepts the Locarno Treaties. * January 26 – Scottish inventor John Logie Baird demonstrates a mechanical television system at his London laboratory for members of the Royal Institution and a report ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ample Line Bundle
In mathematics, a distinctive feature of algebraic geometry is that some line bundles on a projective variety can be considered "positive", while others are "negative" (or a mixture of the two). The most important notion of positivity is that of an ample line bundle, although there are several related classes of line bundles. Roughly speaking, positivity properties of a line bundle are related to having many global sections. Understanding the ample line bundles on a given variety ''X'' amounts to understanding the different ways of mapping ''X'' into projective space. In view of the correspondence between line bundles and divisors (built from codimension-1 subvarieties), there is an equivalent notion of an ample divisor. In more detail, a line bundle is called basepoint-free if it has enough sections to give a morphism to projective space. A line bundle is semi-ample if some positive power of it is basepoint-free; semi-ampleness is a kind of "nonnegativity". More strongly, a line bun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
