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. 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.
Motives of quadric bundles SpringerLink
Web4 de mai. de 2024 · On the motive of an algebraic surface. Authors J.P. MURRE Publication date Publisher Abstract Abstract is not available. Text 510.mathematics … 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. holland park schwanebeck
Algebraic surface - Wikipedia
WebAbstract. The aim of this survey is to present a cohesive picture of the theory of algebraic surfaces, explain its problems, and describe its main methods. The proofs, when they are given, serve only to clarify the principal ideas employed in the field. For detailed proofs the reader is referred to the articles listed at the end of the survey. 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 … 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 ... human internal organs picture