Using these monads we prove that the moduli space of such sheaves is a smooth algebraic variety. Moreover, we construct monads for families of such sheaves parametrized by a noetherian scheme S of finite type. A univer-sal monad on the moduli space is introduced and used to prove that the...
In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locallyof finite type over certain excellent schemes of finite Krull dimension. We also give generalizations of the classical basechange theorems and Kunneth formula to stacks, ...
In this paper, we consider Kawanaka's generalized Gelfand-Greav characters associated with the various unipotent classes of a finite group of Lie type G(q) (where q is a power of a prime ∼ p). Under the assumption that p is large enough, Lusztig Advances in Math. 94 (1992) 139-...
Henderson,Anthony - 《Massachusetts Institute of Technology》 被引量: 39发表: 2001年 Character Sheaves and Generalized Gelfand-Graev Characters In this paper, we consider Kawanaka's generalized Gelfand-Greav characters associated with the various unipotent classes of a finite group of Lie type G(q...
Green functions of finite Chevalley groups of typeEn(n= 6, 7, 8) J. Algebra, 88 (1984), pp. 584-614 View PDF View article View in Scopus Google Scholar 21. D Kazhdan, G Lusztig Schubert varieties and Poincaré duality Proc. Symp. Pure Math., Vol. 36, Amer. Math. Soc.,, Provide...
We prove that projective hyperkhler manifolds of K3 |$^{[n]}$| -type admitting a non-trivial symplectic birational self-map of finite order are isomorphic ... Y Dutta,D Mattei,Y Prieto-Montaez - 《Imrn International Mathematics Research Notices》 被引量: 0发表: 2024年 加载更多来源...
We give a geometric construction of a deformation of the Grothendieck ring of finite-dimensional representations of quantized affine algebras. It yields a positivity result for products of some canonical element. In the classical case, related partial re
Let Δ be a building for a Chevalley group G of rank n, in the sense of J. Tits [Buildings of spherical type and finite BN-pairs (Lect. Notes Math. 386, 1974; Zbl 0295.20047)]. For buildings of type A n , discrete series representations were constructed by G. Lusztig [The discrete...
s proof was the introduction of the notion of boundedness for sets of coherentsheaves together with a boundedness criterion which says that such a set is bounded if and onlyif all its elements are quotients of a unique coherent sheaf and their Hilbert polynomials rangethrough a finite set, [...
of pseudo-isomorphism was introduced in [HMDP] :D´ efinition 0.1.over A and let f be a morphism from N to N′. We say that f is a pseudo-isomorphism ifit induces :i) an isomorphism of functors (from the category of finite type A-modules to itself)H0(N(n) ⊗A.) → H0(N...