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...

Look up Picard or picard in Wiktionary, the free dictionary. Picard may refer to: Picardy, a region of France Picard language, a language of France Jean-Luc...

equations, including work on Picard–Vessiot theory, Painlevé transcendents and his introduction of a kind of symmetry group for a linear differential equation...

Vector bundles in algebraic geometry Line bundle First Chern class Picard group Birkhoff-Grothendieck theorem EGA 0I, 5.4. Stacks Project, tag 01CR,...

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...

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...

season of the American television series Star Trek: Picard features the character Jean-Luc Picard in the year 2401. He and his companions are trapped...

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 →...

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...

geometry, the Picard group Pic(X) of the complex manifold X is the group of isomorphism classes of holomorphic line bundles with group law given by tensor...

Star Trek: Picard is an American science fiction television series created by Akiva Goldsman, Michael Chabon, Kirsten Beyer, and Alex Kurtzman for the...

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...

The Berger Picard (/bɛərˌʒeɪ pɪˈkɑːr/ bair-ZHAY pih-KAR, French: [bɛʁʒe pikaʁ]) or Picardy Shepherd, is a French herding dog originating in Picardy. These...

profinite completion of the group. If X / F q {\displaystyle X/\mathbf {F_{\mathit {q}}} } is a smooth proper curve then its Picard group is Pic ( X )   =   K...

vector space dimension. For a commutative ring R, the group K0(R) is related to the Picard group of R, and when R is the ring of integers in a number field...

season of the American television series Star Trek: Picard features the character Jean-Luc Picard after he retired from Starfleet following the destruction...

0 line bundles. It is the connected component of the identity in the Picard group of C, hence an abelian variety. The Jacobian variety is named after Carl...

Picard (/ˈpɪkɑːrd/, also US: /pɪˈkɑːrd, ˈpɪkərd/, French: [pikaʁ] ) is a langue d'oïl of the Romance language family spoken in the northernmost of France...

A Picard horn, also called the Picard topology or Picard model, is one of the oldest known hyperbolic 3-manifolds, first described by Émile Picard in 1884...

government standpoint, Picard, one of the members of the group known as Les Cinq, veered more to the left. In the 1860s Picard was an active member of...

Star Trek: Picard is an American web television series featuring the character Jean-Luc Picard, created for CBS All Access by Akiva Goldsman, Michael...

while studying abstract structures surrounding Abelian varieties and Picard groups. More concretely, they are given by groupoids A {\displaystyle \mathbb...

in terms of properties of the differential Galois group. The theory was initiated by Émile Picard and Ernest Vessiot from about 1883 to 1904. Kolchin...

Rosalind Wright Picard (born May 17, 1962) is an American scholar and inventor who is Professor of Media Arts and Sciences at MIT, founder and director...

bundle and the hyperplane bundle are exactly the two generators of the Picard group of the projective space. In Michael Atiyah's "K-theory", the tautological...

Picard variety of X. For R the ring of integers of a number field, the divisor class group Cl(R) := Cl(Spec R) is also called the ideal class group of...

Picard group of a del Pezzo surface of degree d is the odd unimodular lattice I1,9−d, except when the surface is a product of 2 lines when the Picard...

of a Fuchsian group, the others following as theorems. The notion of an invariant proper subset Δ is important; the so-called Picard group PSL(2,Z[i]) is...

Joseph A. Sullivan Trophy. Picard-Hooper joined Bélisle Picard Group and works as an Investment Advisor Associate. "Picard-Hooper choisi joueur de l'année"...

I. Coornaert, Delzant & Papadopoulos 1990. For example, class groups and Picard groups; see Neukirch 1999, in particular §§I.12 and I.13 Seress 1997....