Eugenio Bertini
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Eugenio Bertini
Eugenio Bertini (8 November 1846 – 24 February 1933) was an Italian mathematician who introduced Bertini's theorem. He was born at Forlì Forlì ( , ; rgn, Furlè ; la, Forum Livii) is a ''comune'' (municipality) and city in Emilia-Romagna, Northern Italy, and is the capital of the province of Forlì-Cesena. It is the central city of Romagna. The city is situated along the Via ... and died at Pisa. Selected works * * * * References * * *Bertini and his two fundamental theoremsby Steven L. Kleiman, on the life and works of Eugenio Bertini {{DEFAULTSORT:Bertini, Eugenio 1846 births 1933 deaths People from Forlì 19th-century Italian mathematicians 20th-century Italian mathematicians University of Pisa alumni University of Pisa faculty ...
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Eugenio Bertini
Eugenio Bertini (8 November 1846 – 24 February 1933) was an Italian mathematician who introduced Bertini's theorem. He was born at Forlì Forlì ( , ; rgn, Furlè ; la, Forum Livii) is a ''comune'' (municipality) and city in Emilia-Romagna, Northern Italy, and is the capital of the province of Forlì-Cesena. It is the central city of Romagna. The city is situated along the Via ... and died at Pisa. Selected works * * * * References * * *Bertini and his two fundamental theoremsby Steven L. Kleiman, on the life and works of Eugenio Bertini {{DEFAULTSORT:Bertini, Eugenio 1846 births 1933 deaths People from Forlì 19th-century Italian mathematicians 20th-century Italian mathematicians University of Pisa alumni University of Pisa faculty ...
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Bertini's Theorem
In mathematics, the theorem of Bertini is an existence and genericity theorem for smooth connected hyperplane sections for smooth projective varieties over algebraically closed fields, introduced by Eugenio Bertini. This is the simplest and broadest of the "Bertini theorems" applying to a linear system of divisors; simplest because there is no restriction on the characteristic of the underlying field, while the extensions require characteristic 0. Statement for hyperplane sections of smooth varieties Let ''X'' be a smooth quasi-projective variety over an algebraically closed field, embedded in a projective space \mathbf P^n. Let , H, denote the complete system of hyperplane divisors in \mathbf P^n. Recall that it is the dual space (\mathbf P^n)^ of \mathbf P^n and is isomorphic to \mathbf P^n. The theorem of Bertini states that the set of hyperplanes not containing ''X'' and with smooth intersection with ''X'' contains an open dense subset of the total system of divisors , ...
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Forlì
Forlì ( , ; rgn, Furlè ; la, Forum Livii) is a ''comune'' (municipality) and city in Emilia-Romagna, Northern Italy, and is the capital of the province of Forlì-Cesena. It is the central city of Romagna. The city is situated along the Via Emilia, to the east of the Montone river, and is an important agricultural centre. The city hosts some of Italy's culturally and artistically significant landmarks; it is also notable as the birthplace of painters Melozzo da Forlì and Marco Palmezzano, humanist historian Flavio Biondo, physicians Geronimo Mercuriali and Giovanni Battista Morgagni. The University Campus of Forlì (part of the University of Bologna) is specialized in Economics, Engineering, Political Sciences as well as the Advanced school of Modern Languages for Interpreters and Translators (SSLMIT). Climate The climate of the area is humid subtropical (''Cfa'' in the Köppen climate classification) with Mediterranean features, fairly mitigated by the relative closeness ...
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Pisa
Pisa ( , or ) is a city and ''comune'' in Tuscany, central Italy, straddling the Arno just before it empties into the Ligurian Sea. It is the capital city of the Province of Pisa. Although Pisa is known worldwide for its leaning tower, the city contains more than twenty other historic churches, several medieval palaces, and bridges across the Arno. Much of the city's architecture was financed from its history as one of the Italian maritime republics. The city is also home to the University of Pisa, which has a history going back to the 12th century, the Scuola Normale Superiore di Pisa, founded by Napoleon in 1810, and its offshoot, the Sant'Anna School of Advanced Studies.Scuola Superiore Sant'Anna di Pisa
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Steven Kleiman
Steven Lawrence Kleiman (born March 31, 1942) is an American mathematician. Professional career Kleiman is a Professor of Mathematics at the Massachusetts Institute of Technology. Born in Boston, he did his undergraduate studies at MIT. He received his Ph.D. from Harvard University in 1965, after studying there with Oscar Zariski and David Mumford, and joined the MIT faculty in 1969. Kleiman held the prestigious NATO Postdoctoral Fellowship (1966-1967), Sloan Fellowship (1968), and Guggenheim Fellowship (1979). Contributions Kleiman is known for his work in algebraic geometry and commutative algebra. He has made seminal contributions in motivic cohomology, moduli theory, intersection theory and enumerative geometry. A 2002 study of 891 academic collaborations in enumerative geometry and intersection theory covered by Mathematical Reviews found that he was not only the most prolific author in those areas, but also the one with the most collaborative ties, and the most central au ...
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1846 Births
Events January–March * January 5 – The United States House of Representatives votes to stop sharing the Oregon Country with the United Kingdom. * January 13 – The Milan–Venice railway's bridge, over the Venetian Lagoon between Mestre and Venice in Italy, opens, the world's longest since 1151. * February 4 – Many Mormons begin their migration west from Nauvoo, Illinois, to the Great Salt Lake, led by Brigham Young. * February 10 – First Anglo-Sikh War: Battle of Sobraon – British forces defeat the Sikhs. * February 18 – The Galician slaughter, a peasant revolt, begins. * February 19 – United States president James K. Polk's annexation of the Republic of Texas is finalized by Texas president Anson Jones in a formal ceremony of transfer of sovereignty. The newly formed Texas state government is officially installed in Austin. * February 20– 29 – Kraków uprising: Galician slaughter – Polish nationalists stage an uprising in the Free City ...
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1933 Deaths
Events January * January 11 – Sir Charles Kingsford Smith makes the first commercial flight between Australia and New Zealand. * January 17 – The United States Congress votes in favour of Philippines independence, against the wishes of U.S. President Herbert Hoover. * January 28 – "Pakistan Declaration": Choudhry Rahmat Ali publishes (in Cambridge, UK) a pamphlet entitled ''Now or Never; Are We to Live or Perish Forever?'', in which he calls for the creation of a Muslim state in northwest India that he calls " Pakstan"; this influences the Pakistan Movement. * January 30 ** National Socialist German Workers Party leader Adolf Hitler is appointed Chancellor of Germany by President of Germany Paul von Hindenburg. ** Édouard Daladier forms a government in France in succession to Joseph Paul-Boncour. He is succeeded on October 26 by Albert Sarraut and on November 26 by Camille Chautemps. February * February 1 – Adolf Hitler gives his "Proclamation to ...
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People From Forlì
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ...
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19th-century Italian Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ...
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University Of Pisa Alumni
A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: *Being a high degree-awarding institute. *Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. *Using the word ''universitas'' (which was coined at its foundation). *Issuing secular and non-secular degrees: grammar, rhetoric, logic, theology, canon law, notarial law.Hunt Janin: "The university in ...
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