On the motive of an algebraic surface

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August undefined, 2024

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 … 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

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WebFor two algebraic varieties X and Y, Arapura (2006) has introduced a condition that Y is motivated by X. The precise condition is that the motive of Y is (in André's category of … 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 … dysregulation of pathway

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Webi.e. there exists an algebraic correspondence between any K3 surface Sand an associated Abelian variety, the Kuga-Satake variety K(S). This would imply that the motive of any such K3 surface is Abelian, i.e. it lies in the subcategory MAb rat(C) of the (covariant) category M (C) of Chow motives generated by the motives of curves. WebA 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 … WebDynamics and Algebraic Surfaces ; Namboodiri Lectures -- University of Chicago 20-22 January 2003 Curtis T. McMullen, Harvard University ; Lectures: Abstract I. Islands on K3 surfaces II. Random lattices and Sqrt[n] mod 1 III. Billiards ; References: Dynamics on K3 surfaces: Salem numbers and Siegel disks Gaps in Sqrt[n] mod 1 and ergodic theory dysregulation ot

$arXiv:2303.05030v2 [math.AG] 22 Mar 2024$

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Web14 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 … 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. … dysregulation of dopamineWeb20 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. dysrhinorrhea

"Web15 de fev. de 2012 · Definition 9 A surface is called hyperelliptic (or bielliptic) if , where , are two elliptic curves and is a finite group of translations of acting on such that . Hyperelliptic surfaces form another subclass of elliptic surfaces with . Now we are in a position to classify all surfaces with ( [1, VIII.2] ). " - On the motive of an algebraic surface

On the motive of an algebraic surface

The Chow Motive of a K3 Surface SpringerLink

Web1 de set. de 2016 · To the author's knowledge, the Fano surface is the first example of a surface with finite-dimensional motive for which neither (i) nor (ii) holds. One reason … In mathematics, an algebraic surface is an algebraic variety of dimension two. 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 so of dimension four as a smooth manifold. The theory of algebraic surfaces is much more complicated than that of algebraic curves (including the compact Riemann surfaces, which are genuine surfaces of (real) dimension two). Many result…

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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 … Websurface, in Algebraic cycles and Motives Vol II, London Mathematical Society Lectures Notes Series, vol. 344 Cambridge University Press, Cambridge (2008), 143-202. [KZ01] M. Kontsevich and D. Zagier, Periods, In Mathematics unlimited—2001 and beyond, Springer, Berlin (2001) 771–808.

Web1 de out. de 2005 · On Motives Associated to Graph Polynomials. Spencer Bloch, Hélène Esnault, Dirk Kreimer. The appearance of multiple zeta values in anomalous dimensions … 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 …

Web8 de fev. de 2024 · For an algebraic surface to constitute a minimal model it is necessary and sufficient for it not to contain exceptional curves of the first kind, i.e. irreducible curves which do contract to a non-singular point for some birational morphism. Such curves were first studied by M. Noether in 1895. 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, …

WebOn the Chow Motive of an algebraic surface. Lundi, 17 Octobre, 2005 - 16:00 Prénom de l'orateur : Claudio Nom de l'orateur : PEDRINI Résumé : Bloch's Conjecture for …

Web2 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... dysregulation redditWebAlgebraic 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 … dysregulation runx2WebThe 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. csf2o2WebIntroduction to algebraic surfaces Lecture Notes for the course at the University of Mainz Wintersemester 2009/2010 Arvid Perego (preliminary draft) October 30, 2009. 2. … dysregulation of selfWebThis paper looks at some results concerning the Monodromy Conjecture. The conjecture states that for a nonconstant regular function is nonsingular. This proof is not only included for its simplicity, but also because we will need exactly the same arguments in the second part. There we explain what can, and what cannot, be expected in the singular case. csf2 fort hoodWeb1 de set. de 2024 · Journal of Algebraic Combinatorics: An International Journal Volume 56 ... Böhning C von Bothmer H-CG Katzarkov L Sosna P Determinantal Barlow surfaces and phantom categories J. Europ. Math. ... Sosna P Some remarks on phantom categories and motives Bull. Belg. Math. Soc. Simon Stevin 2024 27 3 337 352 4146735 … csf2 draw structureWebDivisors 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 … csf 2 hhsa