On the motive of an algebraic surface
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 … 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, …
On the motive of an algebraic surface
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WebIn mathematics, an algebraic surfaceis an algebraic varietyof dimensiontwo. In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and … 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
WebOn the motive of an algebraic surface. 0.1. The theory of motives has been created by Grothendieck in order to understand better — among other things — the underlying … Webalgebraic 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. …
Web9 de fev. de 2024 · Some Remarks of the Kollar and Mori’s Birational Geometry of Algebraic Varieties I; Some Remarks of the Kollar and Mori’s Birational Geometry of Algebraic Varieties II. Chapter 4. Surface Singularities of the Minimal Model Program Section 4.1. Log Canonical Surface Singulariries. Theorem 4.5. http://www-math.sp2mi.univ-poitiers.fr/~sarti/corso_Perego.pdf
Web20 de fev. de 2016 · Mathematics > Algebraic Geometry. arXiv:1602.06403 (math) [Submitted on 20 Feb 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.
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 fibration. Under the assumption that direct image of the canonical sheaf under the Albanese map is decomposable, we find two irreducible components of \mathcal {M}_ {1,1}^ {4,3}, one of … lamy tintenpatronen lilaWebThe foundations of algebraic geometry were lacking in that period, many results were not clearly formulated and proofs were not always complete. These foundations were laid in the thirties and fourties by van der Waerden, Zariski and Weil. Zariski wrote a monograph [Za] about surfaces incorporating these new techniques. assault njWebA presentation of the theory of surfaces, to be effective at all, must above all give the typical methods of proof used in the theory and their underlying ideas. It is especially true of … assault nmWeb11 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 ... lamy tintenpatronen kaufenWebAlgebraic Cycles and Motives: On the Transcendental Part of the Motive of a Surface. B. Kahn, J. Murre, C. Pedrini. Published 2007. Mathematics. Bloch’s conjecture on … lamy tinteWebhomology theories in algebraic geometry was formulated initially by Alexandre Grothendieck, who is responsible for setting up much of this marvelous cohomological machinery in … lamy tinte kaufenWebAuthor: Gene Freudenburg Publisher: Springer ISBN: 3662553503 Category : Mathematics Languages : en Pages : 319 Download Book. Book Description This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as … la mythomanie