منابع مشابه
Parity Sheaves
Given a stratified variety X with strata satisfying a cohomological parity-vanishing condition, we define and show the uniqueness of “parity sheaves”, which are objects in the constructible derived category of sheaves with coefficients in an arbitrary field or complete discrete valuation ring. If X admits a resolution also satisfying a parity condition, then the direct image of the constant she...
متن کاملModular perverse sheaves on flag varieties I: tilting and parity sheaves
In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group G is a “graded version” of the category of tilting perverse sheaves on the flag variety of the dual group Ǧ, for any field of coefficients whose characteristic is good for G. We derive some consequences on Soergel’s modular category O, and on multiplicities and decomposition n...
متن کاملCoherent Sheaves and Cohesive Sheaves
We consider coherent and cohesive sheaves of O–modules over open sets Ω ⊂ Cn. We prove that coherent sheaves, and certain other sheaves derived from them, are cohesive; and conversely, certain sheaves derived from cohesive sheaves are coherent. An important tool in all this, also proved here, is that the sheaf of Banach space valued holomorphic germs is flat. To Linda Rothschild on her birthday
متن کاملSheaves on fibered threefolds and quiver sheaves
This paper classifies a class of holomorphic D-branes, closely related to framed torsion-free sheaves, on threefolds fibered in resolved ADE surfaces over a general curve C, in terms of representations with relations of a twisted Kronheimer– Nakajima-type quiver in the category Coh(C) of coherent sheaves on C. For the local Calabi–Yau case C ∼= A and special choice of framing, one recovers the ...
متن کاملVector Sheaves Associated with Principal Sheaves
In the framework of Abstract Differential Geometry, especially that dealing with vector sheaves (as expounded in [8]) and principal sheaves (initiated by [9]), we show that to a given principal sheaf (P ,G,X, π) together with a representation φ : G → GL(n,A), we associate a vector sheaf (E ,X, p). If φ is compatible with the representations of G and GL(n,A) into appropriate sheaves of Lie algeb...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2014
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-2014-00804-3