On the motive of an algebraic surface

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August undefined, 2024

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 …

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WebCorpus ID: 126411158; The one-motif of an algebraic surface @article{Carlson1985TheOO, title={The one-motif of an algebraic surface}, author={James A. Carlson ... 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 … harland financial systems

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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 … WebThis 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. Web4 de mai. de 2024 · CORE is not-for-profit service delivered by the Open University and Jisc. changing name on licence

[1705.04063v4] Motives of isogenous K3 surfaces

The motive of the Fano surface of lines - ScienceDirect

WebThe theory of pure motives was introduced by Grothendieck in the 1960s and since then it has become a powerful language to encode intersection-theoretic, cohomological, and arithmetic data of smooth, projective varieties. 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. harland footballWebDynamics 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 changing name on license nj

"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. " - On the motive of an algebraic surface

On the motive of an algebraic surface

Dynamics on algebraic surfaces Integers. P x λ x

Webalgebraic surfaces, see for example [2, 3, 5, 12, 19, 25]. In this paper, we focus on the analysis of the basic geometric structure of generic algebraic surfaces in R3 that are the graph of a real polynomial f ∈ R[x,y]. When the parabolic curve of such a surface Sf is compact, there is one unbounded component Cu in the complement of this ... WebOn the motive of an algebraic surface. J.P. Murre Journal für die reine und angewandte Mathematik (1990) Volume: 409, page 190-204 ISSN: 0075-4102; 1435-5345/e Access Full Article Access to full text How to cite MLA BibTeX RIS Murre, J.P.. "On the motive of an …

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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... WebJ.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 …

WebLater on, useful references will be Mumford's "Curves on an algebraic surface", "FGA explained", and (depending on what topics we discuss) Alper's notes on stacks, and Harris and Morrison's book on curves and moduli. Notes. I may try to post slides and/or notes for the course here, at least as far as I am able. The slides ... 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, …

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 … WebWhat mainly concerns us in the scope of this note, is that there are quite a few examples which are known to have finite–dimensional motive: varieties dominated by products of curves [14], K3 surfaces with Picard number 19 or 20 [20], surfaces not of general type with vanishing geometric genus [8, Theorem 2], Godeaux surfaces [8], 3folds with nef …

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…

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 changing name on medicaid insuranceWebZariski, O. (1962). The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface. The Annals of Mathematics, 76(3), 560. doi:10.2307/1970376 harland forms centerWeb14 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 … changing name on nhs recordsWebIntroduction to algebraic surfaces Lecture Notes for the course at the University of Mainz Wintersemester 2009/2010 Arvid Perego (preliminary draft) October 30, 2009. 2. … changing name on my gov changing name on license maWeb8 de set. de 2015 · This relative Chow–Künneth decomposition shows that the motive of the quadric bundle is isomorphic to the direct sum of Tate twists of the motive of the base … changing name on medicare card australiaWebpoint of view on classiﬁcation theory of algebraic surfaces as brieﬂy alluded to in [P]. The material presented here consists of a more or less self-contained advanced course in … changing name on medical records