hyperplane section
1Hyperplane section — In mathematics, a hyperplane section of a subset X of projective space P n is the intersection of X with some hyperplane H mdash; in other words we look at the subset X H of those elements x of X that satisfy the single linear condition L = 0… …
2Lefschetz hyperplane theorem — In mathematics, the Lefschetz hyperplane theorem states that a hyperplane section W of a non singular complex algebraic variety V , in complex projective space, inherits most of its algebraic topology from V . This allows certain geometrical… …
3Lefschetz pencil — In mathematics, a Lefschetz pencil is a construction in algebraic geometry considered by Solomon Lefschetz, in order to analyse the algebraic topology of an algebraic variety V . A pencil here is a particular kind of linear system of divisors on… …
4Weil cohomology theory — In algebraic geometry, a subfield of mathematics, a Weil cohomology or Weil cohomology theory is a cohomology satisfying certain axioms concerning the interplay of algebraic cycles and cohomology groups. The name is in honour of André Weil. Weil… …
5List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …
6Local cohomology — In mathematics, local cohomology is a chapter of homological algebra and sheaf theory introduced into algebraic geometry by Alexander Grothendieck. He developed it in seminars in 1961 at Harvard University, and 1961 2 at IHES. It was later… …
7Standard conjectures on algebraic cycles — In mathematics, the standard conjectures about algebraic cycles is a package of several conjectures describing the relationship of algebraic cycles and Weil cohomology theories. The original application envisaged by Grothendieck was to prove that …
8Hodge index theorem — In mathematics, the Hodge index theorem for an algebraic surface V determines the signature of the intersection pairing on the algebraic curves C on V . It says, roughly speaking, that the space spanned by such curves (up to linear equivalence)… …
9Max Noether's theorem — In mathematics, Max Noether s theorem in algebraic geometry may refer to at least six results of Max Noether. Noether s theorem usually refers to a result derived from work of his daughter Emmy Noether. There are several closely related results… …
10Séminaire Nicolas Bourbaki (1950–1959) — Continuation of the Séminaire Nicolas Bourbaki programme, for the 1950s. 1950/51 series *33 Armand Borel, Sous groupes compacts maximaux des groupes de Lie, d après Cartan, Iwasawa et Mostow (maximal compact subgroups) *34 Henri Cartan, Espaces… …
