• Picard group of a ringed space X, denoted by Pic(X), is the group of isomorphism classes of invertible sheaves (or line bundles) on X, with the group...
    8 KB (1,140 words) - 21:27, 16 September 2024
  • Look up Picard or picard in Wiktionary, the free dictionary. Picard may refer to: Picard, Quebec, Canada Picard, California, United States Picard (crater)...
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  • equations, including work on Picard–Vessiot theory, Painlevé transcendents and his introduction of a kind of symmetry group for a linear differential equation...
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  • Vector bundles in algebraic geometry Line bundle First Chern class Picard group Birkhoff-Grothendieck theorem EGA 0I, 5.4. Stacks Project, tag 01CR,...
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  • Néron–Severi group of a variety is the group of divisors modulo algebraic equivalence; in other words it is the group of components of the Picard scheme of...
    4 KB (739 words) - 12:06, 8 November 2023
  • season of the American television series Star Trek: Picard features the character Jean-Luc Picard in the year 2401 as he reunites with the former command...
    126 KB (8,857 words) - 09:39, 26 September 2024
  • abelian group called the Picard group of R. If R is an integral domain with the field of fractions F of R, then there is an exact sequence of groups: 1 →...
    24 KB (3,093 words) - 04:03, 3 October 2024
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    theory of curves on a surface, by identifying the Picard group with the divisor class group.) The Picard lattice of a K3 surface is always even, meaning...
    34 KB (5,241 words) - 11:22, 18 August 2023
  • In mathematics, a Picard modular group, studied by Picard (1881), is a group of the form SU(J,L), where L is a 3-dimensional lattice over the ring of integers...
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  • Thumbnail for Star Trek: Picard
    Star Trek: Picard is an American science fiction television series created by Akiva Goldsman, Michael Chabon, Kirsten Beyer, and Alex Kurtzman for the...
    161 KB (11,881 words) - 09:38, 26 September 2024