Picard group

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• Picard group — In mathematics, the Picard group of a ringed space X, denoted by , is the group of isomorphism classes of invertible sheaves (or line bundles) on X, with the group operation being tensor product. This construction is a global version of the… …   Wikipedia

• Picard — may refer to* the Picard language, a Langue d oïl and one of the languages of FrancePeople known as PicardPicard, meaning a person from Picardy, a historical region and cultural area of France, is a surname, and may refer to:* Alexandre R. Picard …   Wikipedia

• Picard language — Picard Picard Spoken in  France …   Wikipedia

• Picard Island — (also known as West Island) is an island in the Seychelles. It is the third largest island of the Aldabra Atoll in the Aldabra Group of islands, 1000 kilometres southwest of the country s capital, Victoria. The island covers an area of 9.4 km… …   Wikipedia

• Picard-Fuchs equation — In mathematics, the Picard Fuchs equation is a linear ordinary differential equation whose solutions describe the periods of elliptic curves. DefinitionLet :j=frac{g 2^3}{g 2^3 27g 3^2}be the j invariant with g 2 and g 3 the modular invariants of …   Wikipedia

• Picard horn — A Picard horn, also called the Picard topology or Picard model, is a theoretical model for the shape of the Universe. It is a horn topology, meaning it has hyperbolic geometry (the term horn is due to pseudosphere models of hyperbolic space).The… …   Wikipedia

• Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

• picard — I. ˈpikərd, iˌkärd noun ( s) Usage: capitalized Etymology: French, from Middle French, from Picardie Picardy, province of northern France 1 …   Useful english dictionary

• Charles Émile Picard — Born 24 July 1856(1856 07 24) Paris …   Wikipedia

• Néron–Severi group — In algebraic geometry, the 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 a variety. Its rank is called the Picard number. It is named… …   Wikipedia

• Ideal class group — In mathematics, the extent to which unique factorization fails in the ring of integers of an algebraic number field (or more generally any Dedekind domain) can be described by a certain group known as an ideal class group (or class group). If… …   Wikipedia