Duality and nearby cycles over general bases
WebDec 29, 2024 · Duality and nearby cycles over general bases. This paper studies the sliced nearby cycle functor and its commutation with duality. Over a Henselian discrete … WebJan 1, 2024 · A proof of Grothendieck-Verdier duality of étale motives on schemes of finite type over a regular quasi-excellent scheme (which slightly improves the level of generality in the existing literature).
Duality and nearby cycles over general bases
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WebBase change and sliced !-base change - 4 Sliced nearby cycles over general bases
WebWe calculate l-adic nearby cycles in the étale cohomology for families with log smooth reduction using log étale cohomology. In particular, nearby cycles for log smooth families coincide with tame nearby cycles, as L. Illusie expected, and nearby cycles for semistable families depend only on the first infinitesimal neighborhood of the special fiber. Web6 Local acyclicity (after Gabber) - Duality and nearby cycles over general bases
Web5 Nearby cycles and duality - Duality and nearby cycles over general bases WebMay 30, 2024 · First encounter: Nightmare of Gahlran, the Sorrow Bearer. Gahlran is back. This is the first major fight using the bell mechanic, so get acquainted with it. For this …
WebThis paper studies the sliced nearby cycle functor and its commutation with duality. Over a Henselian discrete valuation ring, we show that this commutation holds, confirming a …
WebAug 9, 2016 · The main ingredient is a Künneth formula for \(R\Psi \) in the framework of Deligne’s theory of nearby cycles over general bases. In the last section, we study the tame case, and the relations between tensor and convolution products, in both global and local situations. ... Vanishing cycles over a base of dimension \(\ge 1\). In Algebraic ... brent shea cpaWebIn summary, we put all these results together in this thesis to exhibit the following: the nearby cycles on the various Vinberg-style degeneration are the keys to understanding certain “exotic” dualities in the automorphic side of the Geometric Langlands Program. Motivation: nearby cycles and the long intertwining functor countertops refinished with sprayWebNEARBY CYCLES FOR LOG SMOOTH FAMILIES 49 1. Log base change by standard affine maps (1.1). In this section we prove the lemma below. This is the part of log smooth base change theorem that is directly deduced from the usual smooth base change theorem. In general,log smooth basechangetheoremfails in its naiveform ((B.1)), brent shearerWebThe meaning of DUALITY is the quality or state of having two different or opposite parts or elements : dualism; also : a difference between two opposite things : a division into two … brents heating and cooling duluthWebIn graph theory, a branch of mathematics, a cycle basis of an undirected graph is a set of simple cycles that forms a basis of the cycle space of the graph. That is, it is a minimal set of cycles that allows every even-degree subgraph to be expressed as a symmetric difference of basis cycles.. A fundamental cycle basis may be formed from any … countertops refinishingWebality, duality, and other desired properties for the topological abelian groups of cocycles on quasi-projective varieties. Such an approach can be found in [F2]. A more abstract treatment of duality for varieties over more general elds is given in [FV]. It is assumed throughout the main body of this paper that Xand Y are projective countertops refinishing ideasWeb5 Nearby cycles and duality - Duality and nearby cycles over general bases countertops refrigerators