On the motive of an algebraic surface
Web11 de mai. de 2024 · We prove that isogenous K3 surfaces have isomorphic Chow motives. This provides a motivic interpretation of a long standing conjecture of Safarevich which has been settled only recently by Buskin. The main step consists of a new proof of Safarevich's conjecture that circumvents the analytic parts in Buskin's approach, … WebCorpus ID: 126411158; The one-motif of an algebraic surface @article{Carlson1985TheOO, title={The one-motif of an algebraic surface}, author={James A. Carlson ...
On the motive of an algebraic surface
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WebIntroduction 0.1. The theory of motives has been created by Grothendieck in order to under-stand better — among other things — the underlying "objects" of the cohomologygroups … WebOscar Zariski (24.4.1899-4.7.1986) was born in Kobryn, Poland, and studied at the universities of Kiev and Rome. He held positions at Rome University, John Hopkins University, the University of Illinois and from 1947 at Harvard University. Zariski's main fields of activity were in algebraic geometry, algebra, algebraic function theory and topology.
Webmoduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to Web20 de fev. de 2016 · Abstract:The purpose of this note is to prove that the Chow motive of the Fano surface of lines on the smooth cubic threefold is finite-dimensional in the sense of Kimura. This gives an example of a smooth projective variety that is not dominated by a product of curves but whose Chow motive is of Abelian type. Submission history
Web9 de abr. de 2024 · Abstract. In this paper, we study the Gieseker moduli space \mathcal {M}_ {1,1}^ {4,3} of minimal surfaces with p_g=q=1, K^2=4 and genus 3 Albanese … WebAlgebraic curves is one of the oldest subjects in modern mathematics, as it was one of the rst things people did once they learned about polynomials. It has developed over time a multiplicity of language and symbols, and we will run through it. Let X be a smooth projective algebraic curve over C.
WebOn the motive of an algebraic surface. J. Reine Angew. Math. 409, 190–204 (1990) Google Scholar [SR] Saavedra Rivano, N.: Catègories Tannakiennes. (Lect. Notes …
WebDivisors on a Riemann surface. A Riemann surface is a 1-dimensional complex manifold, and so its codimension-1 submanifolds have dimension 0.The group of divisors on a compact Riemann surface X is the free abelian group on the points of X.. Equivalently, a divisor on a compact Riemann surface X is a finite linear combination of points of X with … birch tree in floridaWeb2 de mai. de 2006 · On the motive of an algebraic surface Article Aug 1990 Jacob P. Murre View On a conjectural filtration on the Chow groups of an algebraic variety Part II: Verification of the conjectures for... birch tree in fall photographyWeb11 de abr. de 2024 · Abstract. Pre-Tannakian categories are a natural class of tensor categories that can be viewed as generalizations of algebraic groups. We define a pre-Tannkian category to be discrete if it is ... birch tree in duluth mnWebJ.P. Murre, On the motive of an algebraic surface, J. Reine Angew. Math. 409 (1990), 190–204. MATH MathSciNet Google Scholar V.K. Murty, Exceptional Hodge classes on … dallas pathologyWebDynamics on algebraic surfaces MPI Arbeitstagung 2007 Curtis T. McMullen In this talk we discuss connections between algebraic integers and auto-morphisms of compact complex surfaces. Integers. Conjecturally, the smallest algebraic integer λ > 1 is the root λLehmer = 1.1762808... of Lehmer’s polynomial, P(x) = 1 +x −x3 −x4 −x5 −x6 ... birch tree in fallWeb14 de nov. de 2009 · In this note we present some results on the Chow motive h(X) of an algebraic surface X and relate them to the conjectures of Bloch, Beilinson and Murre. In … birch tree in frenchWebalgebraic curves as a smooth projective curve (given by explicit equations), and an explicit divisor, there is an algorithm to determine the space L(D). We’ll do that in a week or two. … birch tree in romanian