Duality and nearby cycles over general bases
Web6 Local acyclicity (after Gabber) - Duality and nearby cycles over general bases
Duality and nearby cycles over general bases
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Web5 Nearby cycles and duality - Duality and nearby cycles over general bases 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 ...
WebApr 10, 2024 · The plectic conjecture over local fields: Wed: Mar 02: 17:00: Jackson Morrow: ... Etale cohomology of algebraizable rigid analytic varieties via nearby cycles over general bases: Thu: Mar 04: 16:00: Alexander Petrov: ... Mod-p Poincaré duality in p-adic geometry: Thu: Jul 16: 16:00: Peter Scholze: WebVanishing cycles and nearby cycles: toplogical definition and Beilinson's definition, Fourier transform for conincal sheaves, specialization and microlocalization. References (more to be added): An Introduction to Intersection Homology Theory by Frances Kirwan and Jonathan Woolf: Example based introduction to the topological construction of ...
WebNEARBY 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)), WebDuality and nearby cycles over general bases - CORE Reader
WebNov 1, 2024 · Over an excellent base scheme, we show that the sliced nearby cycle functor commutes with duality up to modification of the base. We deduce that duality …
http://davidrenshawhansen.com/nearby.pdf can you highlight human hair wigsWebfields, in the tamely ramified case, Deligne conceived a theory of nearby and vanishing cycles valid over general bases. A short summary, without proofs, was written by Laumon [L1]. This topic long remained untouched, because Laumon’s proof of the product formula using the ℓ-adic Fourier transform [L2] rendered Deligne’s approach useless. can you highlight hair without bleachWebWe 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. brightsparkz resourcesWebNov 1, 2024 · Over an excellent base scheme, we show that the sliced nearby cycle functor commutes with duality up to modification of the base. We deduce that duality … bright spark tuition limitedWebIn the l-adic algebraic context, Illusie proves in that the Verdier dual and nearby cycles commute, up to natural isomorphism. M. M. Saito proves the analogous result in the complex analytic setting, with field coefficients, in [ 6 ] and [ 7 ] . brightsparktravel.comWebIn 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 bright spark toasterWebDuality and nearby cycles over general bases Qing Lu∗Weizhe Zheng†‡ October 7, 2024 Abstract This paper studies the sliced nearby cycle functor and its commutation with … brightsparkz.co.za