On Euler characteristic of equivariant sheaves
نویسندگان
چکیده
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...
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We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves which were proved by Ellingsrud/Lønsted and Nakajima and for which we give a new approach in this paper. Mathematics Subject Classification 2000. 14F20; 14L30; 14H30.
متن کامل2 00 1 Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
The object of this paper is to develop and prove an equivariant Grothendieck-OggShafarevich formula. Let k be an algebraically closed field, X a connected smooth projective curve over k and G a finite subgroup of Aut(X/k) of order n. Furthermore, let l 6= char(k) be a prime and F a constructible Fl-sheaf on the étale site Xét which carries a G-action compatible with the given G-action on X. The...
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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 ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2003
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(02)00022-1