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Longer titles found: Euler characteristic of an orbifold (view), Local Euler characteristic formula (view)

searching for Euler characteristic 36 found (310 total)

Behrend function (179 words) [view diff] exact match in snippet view article find links to article

scheme carrying a symmetric obstruction theory, then the weighted Euler characteristic χ ( X , ν X ) = ∑ n ∈ Z n χ ( { ν X = n } ) {\displaystyle \chi (X

Complete intersection (1,230 words) [view diff] exact match in snippet view article find links to article

This implies that the middle homology group is determined by the Euler characteristic of the space. Hirzebruch gave a generating function computing the

Kodaira vanishing theorem (846 words) [view diff] exact match in snippet view article find links to article

number of independent global sections — coincides with a holomorphic Euler characteristic that can be computed using the Hirzebruch–Riemann–Roch theorem. The

Riemann–Roch theorem for surfaces (885 words) [view diff] exact match in snippet view article find links to article

Euler characteristic, the dot . is the intersection number, and K is the canonical divisor. The constant χ(0) is the holomorphic Euler characteristic

Symmetric product of an algebraic curve (582 words) [view diff] no match in snippet view article find links to article

In mathematics, the n-fold symmetric product of an algebraic curve C is the quotient space of the n-fold cartesian product C × C × ... × C or Cn by the

Virtually fibered conjecture (660 words) [view diff] exact match in snippet view article find links to article

rational Euler number of the Seifert fibration or the (orbifold) Euler characteristic of the base space is zero. The hypotheses of the conjecture are satisfied

Localized Chern class (766 words) [view diff] exact match in snippet view article find links to article

giving #Bloch's conductor formula that computes the non-constancy of Euler characteristic of a degenerating family of algebraic varieties (in the mixed characteristic

Hirzebruch–Riemann–Roch theorem (920 words) [view diff] exact match in snippet view article find links to article

E on a compact complex manifold X, to calculate the holomorphic Euler characteristic of E in sheaf cohomology, namely the alternating sum χ ( X , E )

Hyperelliptic surface (391 words) [view diff] exact match in snippet view article find links to article

number is 2, the second Chern number vanishes, and the holomorphic Euler characteristic vanishes. They were classified by (Bombieri & Mumford 1976), who

Barycentric subdivision (2,530 words) [view diff] exact match in snippet view article find links to article

The substitution allows to assign combinatorial invariants as the Euler characteristic to the spaces. One can ask if there is an analogous way to replace

Hilbert scheme (3,385 words) [view diff] no match in snippet view article find links to article

equality of the Hilbert polynomial of a coherent sheaf with the Euler-characteristic of its sheaf cohomology groups. Pick a sufficiently large value of

Todd class (1,162 words) [view diff] exact match in snippet view article find links to article

(TM),} where χ ( F ) {\displaystyle \chi (F)} is its holomorphic Euler characteristic, χ ( F ) := ∑ i = 0 dim C M ( − 1 ) i dim C H i ( M , F ) , {\displaystyle

Dmitry Gudkov (mathematician) (157 words) [view diff] exact match in snippet view article

(translated from the Russian original). D. A. Gudkov "Periodicity of the Euler characteristic of real algebraic (M—1)-manifolds", Functional Analysis and Its Applications

Transversality (mathematics) (1,723 words) [view diff] exact match in snippet view article

signs—i.e. the fundamental class of the zero set—is equal to the Euler characteristic of the manifold. More generally, for a vector bundle over an oriented

Louis Kauffman (1,026 words) [view diff] exact match in snippet view article find links to article

stronger invariant than the Jones polynomial and such that the graded Euler characteristic of the Khovanov homology is equal to the original Jones polynomial

Affine manifold (843 words) [view diff] exact match in snippet view article find links to article

1023/A:1012019004745. Kostant, Bertram; Sullivan, Dennis (1975). "The Euler characteristic of an affine space form is zero". Bulletin of the American Mathematical

O-minimal theory (1,294 words) [view diff] exact match in snippet view article find links to article

Verdier stratification theorems and a good notion of dimension and Euler characteristic. Moreover, continuously differentiable definable functions in a o-minimal

Pierre Ossian Bonnet (454 words) [view diff] exact match in snippet view article find links to article

formula relating the surface integral of the Gauss curvature to the Euler characteristic of the surface and the line integral of the geodesic curvature of

Michael W. Davis (895 words) [view diff] exact match in snippet view article find links to article

Diff. Geom. 34, 347–388. Charney, R., & Davis, M. W. (1995). The Euler characteristic of a nonpositively curved, piecewise Euclidean manifold. Pacific

William Abikoff (183 words) [view diff] exact match in snippet view article find links to article

1090/s0002-9904-1976-14049-9. MR 0432919. Abikoff, William (1986). "The Euler characteristic and inequalities for Kleinian groups". Proceedings of the American

Richard S. Hamilton (2,769 words) [view diff] exact match in snippet view article find links to article

and two-dimensional closed Riemannian manifolds of nonpositive Euler characteristic or of positive curvature[H88]. In each case, after appropriate normalizations

Chow group of a stack (1,446 words) [view diff] exact match in snippet view article find links to article

class, morally the integration over it, is equal to the weighted Euler characteristic of the Behrend function of X. More recent (circa 2017) approaches

Real algebraic geometry (3,213 words) [view diff] exact match in snippet view article find links to article

Saugata (1999). "On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets". Discrete & Computational Geometry. 22 (1):

Frank Wilson Warner (990 words) [view diff] exact match in snippet view article find links to article

F. W. (1972). "Curvature functions for 2-manifolds with negative Euler characteristic". Bulletin of the American Mathematical Society. 78 (4): 570–575

Glossary of classical algebraic geometry (11,125 words) [view diff] exact match in snippet view article find links to article

arithmetic genus The arithmetic genus of a variety is a variation of the Euler characteristic of the trivial line bundle; see Hodge number. Aronhold set One of

Systolic geometry (3,932 words) [view diff] exact match in snippet view article find links to article

Katok states that every metric on a closed surface M with negative Euler characteristic satisfies an optimal inequality relating the entropy and the area

Derived scheme (2,270 words) [view diff] exact match in snippet view article find links to article

H^{-1}} measures again how singular the space is. In addition, the Euler characteristic of this complex yields the correct (virtual) dimension of the quotient

Morphism of algebraic varieties (4,318 words) [view diff] exact match in snippet view article find links to article

complete, then for any coherent sheaf F on Y, writing χ for the Euler characteristic, χ ( f ∗ F ) = deg ⁡ ( f ) χ ( F ) . {\displaystyle \chi (f^{*}F)=\deg(f)\chi

Complex geometry (3,677 words) [view diff] exact match in snippet view article find links to article

case of the Atiyah-Singer index theorem, computes the holomorphic Euler characteristic of a holomorphic vector bundle in terms of characteristic classes

3-manifold (5,836 words) [view diff] exact match in snippet view article find links to article

compact irreducible atoroidal Haken manifold whose boundary has zero Euler characteristic, then the interior of M has a complete hyperbolic structure of finite

List of uniform polyhedra by vertex figure (796 words) [view diff] exact match in snippet view article find links to article

Number of vertices V, edges E, Faces F and number of faces by type. Euler characteristic χ = V - E + F The vertex figures are on the left, followed by the

Semiring (8,054 words) [view diff] exact match in snippet view article find links to article

30–34, ISBN 9780387887579 Schanuel S.H. (1991) Negative sets have Euler characteristic and dimension. In: Carboni A., Pedicchio M.C., Rosolini G. (eds)

Franz-Erich Wolter (1,646 words) [view diff] case mismatch in snippet view article find links to article

patch to numerically compute area, length of boundary curves and Euler Characteristic of the patch. All this later on stimulated research in the area of

List of uniform polyhedra by Wythoff symbol (292 words) [view diff] exact match in snippet view article find links to article

vertices,E Number of edges,F Number of faces=Face configuration ?=Euler characteristic, group=Symmetry group Wythoff symbol – Vertex figure W – Wenninger

List of uniform polyhedra by spherical triangle (358 words) [view diff] exact match in snippet view article find links to article

vertices,E Number of edges,F Number of faces=Face configuration ?=Euler characteristic, group=Symmetry group Wythoff symbol - Vertex figure W - Wenninger

Calculus on Euclidean space (11,443 words) [view diff] exact match in snippet view article find links to article

(M)=\int _{M}K\,dS} where χ ( M ) {\displaystyle \chi (M)} is the Euler characteristic of M {\displaystyle M} and K {\displaystyle K} the curvature. Lagrange