Ad
related to: intersection theory pdf
Search results
Results From The WOW.Com Content Network
In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety. [1] The theory for varieties is older, with roots in Bézout's theorem on curves and elimination theory. On the other hand, the topological theory more quickly reached a ...
In mathematics, the Fulton–Hansen connectedness theorem is a result from intersection theory in algebraic geometry, for the case of subvarieties of projective space with codimension large enough to make the intersection have components of dimension at least 1.
encodes all the intersection indices as its coefficients. Witten's conjecture states that the partition function Z = exp F is a τ-function for the KdV hierarchy , in other words it satisfies a certain series of partial differential equations corresponding to the basis { L − 1 , L 0 , L 1 , … } {\displaystyle \{L_{-1},L_{0},L_{1},\ldots ...
Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Intersection theory" The following 13 pages are in this category, out of ...
That is, a scheme-theoretic multiplicity of an intersection may differ from an intersection-theoretic multiplicity, the latter given by Serre's Tor formula. Solving this disparity is one of the starting points for derived algebraic geometry, which aims to introduce the notion of derived intersection.
The second potential problem is that even if the intersection is zero-dimensional, it may be non-transverse, for example, if V is a plane curve and W is one of its tangent lines. The first problem requires the machinery of intersection theory, discussed above in detail, which replaces V and W by more convenient subvarieties using the moving lemma.
Meinrenken, E. (2006), "Equivariant cohomology and the Cartan model" (PDF), Encyclopedia of mathematical physics, pp. 242– 250, ISBN 978-0-12-512666-3 — Excellent survey article describing the basics of the theory and the main important theorems "Equivariant cohomology", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Young-Hoon Kiem ...
For example, the expected dimension of intersection of and is , the intersection of and has expected dimension , and so on. The definition of a Schubert variety states that the first value of j {\displaystyle j} with dim ( V j ∩ w ) ≥ i {\displaystyle \dim(V_{j}\cap w)\geq i} is generically smaller than the expected value n − k + i ...