Perverse equivalences and Brouéʼs conjecture
نویسندگان
چکیده
منابع مشابه
Tate Conjecture and Mixed Perverse Sheaves
Using the theory of mixed perverse sheaves, we extend arguments on the Hodge conjecture initiated by Lefschetz and Griffiths to the case of the Tate conjecture, and show that the Tate conjecture for divisors is closely related to the de Rham conjecture for nonproper varieties, finiteness of the Tate-Shafarevich groups, and also to some conjectures in the analytic number theory. Dedicated to Joh...
متن کاملEquivalences to the triangulation conjecture
We utilize the obstruction theory of Galewski-Matumoto-Stern to derive equivalent formulations of the Triangulation Conjecture. For example, every closed topological manifold M with n ≥ 5 can be simplicially triangulated if and only if the two distinct combinatorial triangulations of RP 5 are simplicially concordant. AMS Classification 57N16, 55S35; 57Q15
متن کاملA Few Equivalences of Wall-Sun-Sun Prime Conjecture
In this paper, we prove a few lemmas concerning Fibonacci numbers modulo primes and provide a few statements that are equivalent to Wall-Sun-Sun Prime Conjecture. Further, we investigate the conjecture through heuristic arguments and propose a couple of additional conjectures for future research.
متن کاملPERVERSE SHEAVES AND coO - ACTIONS
where t· x denotes the action of t on x. The set Xw is known to be a locally-closed c* -stable algebraic subvariety of X isomorphic to an affine space. The pieces Xw form a cell decomposition X = UWEW XW ' W E W, the socalled Bialynicki-Birula decomposition. We assume this decomposition to be an algebraic stratification of X (the closure of a cell may not be a union of cells, in general). Let ....
متن کاملOn Monoidal Equivalences and Ann-equivalences
The equivalence between a monoidal category and a strict one has been proved by some authors such as Nguyen Duy Thuan [8], Christian Kassel [2], Peter Schauenburg [7]. In this paper, we show another proof of the problem by constructing a strict monoidal category M(C) consisting of M -functors and M morphisms of a category C and we prove C is equivalent to it. The proof is based on a basic chara...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2013
ISSN: 0001-8708
DOI: 10.1016/j.aim.2013.07.010