منابع مشابه
On Euler Characteristic of Equivariant Sheaves
Let k be an algebraically closed field of characteristic p > 0 and let l be another prime number. O. Gabber and F. Loeser proved that for any algebraic torus T over k and any perverse l-adic sheaf F on T the Euler characteristic χ(F) is non-negative. We conjecture that the same result holds for any perverse sheaf F on a reductive group G over k which is equivariant with respect to the adjoint a...
متن کاملEquivariant analogues of the Euler characteristic and Macdonald type equations
One of the simplest and, at the same time, most important invariants of a topological space is the Euler characteristic. A generalization of the notion of the Euler characteristic to the equivariant setting, that is, to spaces with an action of a group (say, finite) is far from unique. An equivariant analogue of the Euler characteristic can be defined as an element of the ring of representation...
متن کاملOn the Sn-equivariant Euler characteristic of M2,n.
The Getzler’s formula relates the Sn-equivariant Hodge-Deligne polynomial of the space of ordered tuples of distinct points on a given variety X with the Hodge-Deligne polynomial of X. We obtain the analogue of this formula for the case when X has a nontrivial automorphism group. Collecting together all strata of M2 with different automorphism groups, we derive a formula for the Sn-equivariant ...
متن کاملThe Equivariant Euler Characteristic of Real Coxeter Toric Varieties
Let W be a crystallographic Weyl group, and let TW be the complex toric variety attached to the fan of cones corresponding to the reflecting hyperplanes of W , and its weight lattice. The real locus TW (R) is a smooth, connected, compact manifold with a W -action. We give a formula for the Euler characteristic of TW (R) as a generalised character of W . In type An−1 for n odd, one obtains a gen...
متن کاملThe equivariant Euler characteristic of moduli spaces of curves.
We give a formula for the Sn-equivariant Euler characteristics of the moduli spaces Mg,n of genus g curves with n marked points.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1991
ISSN: 0022-4049
DOI: 10.1016/0022-4049(91)90071-9