Grothendieck ogg shafarevich formula
WebMay 13, 2009 · The Grothendieck-Ogg-Shafarevich formula calculates the l-adic Euler-Poincare number of an l-adic sheaf on a curve by an invariant produced by the wild ramification of the l-adic sheaf named Swan ... WebFor a constructible étale sheaf on a smooth variety of positive characteristic ramified along an effective divisor, the largest slope in Abbes and Saito’s ramification theory of the sheaf gives a divisor with rational …
Grothendieck ogg shafarevich formula
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Web[Ab]Ab A. Abbès, The Grothendieck-Ogg-Shafarevich formula for arithmetic surfaces, Journal of Algebraic Geometry, 9 (2000), 529-576. [dJ1]dJ1 A.-J. de Jong, Smoothness … WebIn mathematics, the Grothendieck–Ogg–Shafarevich formula describes the Euler characteristic of a complete curve with coefficients in an abelian variety or constructible …
WebGrothendieck–Ogg–Shafarevich formula Shafarevich's theorem on solvable Galois groups Shafarevich–Weil theorem about the fundamental class in class field theory Shafarevich's theorem on elliptic curves with good reduction outside a given set. This disambiguation page lists mathematics articles associated with the same title. WebWe prove a Lefschetz trace formula for open varieties and a generalization of the Grothendieck-Ogg-Shararevich formula using the Swan class. LetFbe a perfect field andUbe a separated and smooth scheme of finite type purely of dimensiondoverF.
WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an etale analogue of well-known formulas for Zariski sheaves which were proved by Ellingsrud/Lønsted and Nakajima and for which we give a new approach in this paper. WebThe Grothendieck-Ogg-Shafarevich formula expresses the Euler characteristic of an ´etale sheaf on a characteristic-p curve in terms of local data. The purpose of this paper is to prove an equicharacteristic version of the G-O-S formula (a bound, rather than an equality). This follows work of
WebNov 22, 2024 · The formula (1.1.1) is a pioneering step towards the study of ramifications of e´tale sheaves, and has been generalized to higher-dimensional case ([KS08, Thm. 4.2.9], [Sai17, Thm. 7.13]). 1.2. The main purpose of this paper is to prove a quadratic refinement of the Grothendieck-Ogg-Shafarevich formula using motivic homotopy …
Webit to the general case, using the open Lefschetz trace formula, so that the analog of the Grothendieck{Ogg{Shafarevich formula holds. However, the integrality of this Swan conductor, Received 21 February 2008, accepted in nal form 28 July 2009, published online 10 March 2010. 2000 Mathematics Subject Classi cation 14F20, 14F30 (primary). helsingin kaupungin asunnon hakuWebTheGrothendieck-Ogg-Shafarevichformulaisanindexformula fortheEulercharacteristicχ cpU,Fq(itcanbeshownthatχ cpU,Fq“χpU,Fq). Theorem 2 (Grothendieck-Ogg … helsingin kasinohelsingin kaupungin hammaslääkäri ajanvarausWebof the Grothendieck-Ogg-Shafarevich formula. We define the characteristic class. Wild ramification of schemes and sheaves 3 in Section 1.2 as a refinement of the Euler number and gives a relation with the Swan class. In Section 1.3, we consider the arithmetic case where the base field is helsingin kaupungin avoimet tyoepaikatWebWith this notion, we obtain the Grothendieck-Ogg-Shafarevich formula, which tells us that c ( U; F ) = rk( F ) c ( U; Q `) X x 2 C n U Swan x ( F ) : orF a more precise statement, see … helsingin kaupungin asunnot oy maunulan alueWebWe prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an etale analogue of well-known formulas for Zariski sheaves generalizing the classical Chevalley-Weil … Expand. 4. Highly Influenced. PDF. View 4 excerpts, cites background and methods; Save. helsingin kaupungin asunnot uudiskohteetWebMay 12, 2009 · The Grothendieck-Ogg-Shafarevich formula calculates the l-adic Euler-Poincare number of an l-adic sheaf on a curve by an invariant produced by the wild … helsingin kaupungin hammashoitolat