Bloch beilinson conjecture
WebApr 29, 2024 · Beilinson-Bloch-Kato Conjecture for Rankin-Selberg Motives (Download Report PDF) This is the first part of joint report by Yichao and Liu on their ongoing collaboration with Liang Xiao, Wei Zhang, and Xinwen Zhu. Their project concerns the Beilinson-Bloch-Kato conjecture on the relation between L-functions and Selmer … WebDec 26, 2024 · On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. In this article, we study the Beilinson-Bloch-Kato conjecture for motives corresponding to …
Bloch beilinson conjecture
Did you know?
WebThe conjectures of Bloch, Beilinson, and Murre predict the existence of a certain functorial filtration on the Chow groups (with Q-coefficients) of all smooth projective varieties, whose graded quotients only depends on cycles modulo homological equivalence. This filtration would offer a rather good understanding of these Chow groups, and would allow to prove … WebNow we can formulate Beilinson’s conjecture. Conjecture 1.2 (Beilinson’s conjecture). We divide into cases. ÖSuppose w<−2. (1)Then, the regulator map gives an isomorphism r …
WebPeriods of Quaternionic Shimura Varieties. I. About this Title. Atsushi Ichino, Kyoto University, Kyoto, Japan and Kartik Prasanna, University of Michigan, Ann Arbor, MI. Publication: Contemporary Mathematics Publication Year: 2024; Volume 762 ISBNs: 978-1-4704-4894-3 (print); 978-1-4704-6418-9 (online) WebOct 20, 2024 · On the motivic side, we conjecture that algebraic cycles on supersingular symplectic varieties are much simpler than their complex counterparts: its rational Chow motive is of supersingular abelian type, the rational Chow ring is representable and satisfies the Bloch–Beilinson conjecture and Beauville’s splitting property.
WebApr 17, 2024 · In fact, Bloch's results about the Ceresa cycle of Fermat quartics provided the first concrete evidence for the generalization of the BSD conjecture to the Bloch-Beilinson conjectures. We will survey several recent results about the … http://math.stanford.edu/~conrad/BSDseminar/refs/BKintro.pdf
WebIt resides at the heart of a collection of important conjectures (due especially to Deligne, Beilinson, Bloch and Kato) that connect values of L-functions and their leading terms to …
meaning of name marlaWebThis proves part of the Beilinson--Bloch conjecture for Chow groups and L-functions, which generalizes the Birch and Swinnerton-Dyer conjecture. Moreover, assuming the … meaning of name marlysWebThis proves part of the Beilinson--Bloch conjecture for Chow groups and L-functions, which generalizes the Birch and Swinnerton-Dyer conjecture. Moreover, assuming the modularity of Kudla's generating functions of special cycles, we explicitly construct elements in a certain $\pi$-nearly isotypic subspace of the Chow group by arithmetic theta ... meaning of name marthaWebThe norm residue isomorphism theorem implies the Quillen–Lichtenbaum conjecture. It is equivalent to a theorem whose statement was once referred to as the … meaning of name martaWeb译者注: Beilinson--Bloch--Kato conjecture) 以及一些对mixed motives的猜测 (后来很多被V Voevodsky和A Suslin实现了). 和R MacPherson以及P Deligne的交流推动了J Bernstein … meaning of name marshaWebappears here, is called the Bloch-Beilinson regulator map. When X is defined over a number field, k, the image of K2 (Xk) under r shows remarkable prop-erties which were assumed in the celebrated Bloch-Beilinson conjecture ([1], [21]). The map r can be interpreted as a secondary characteristic class of flat meaning of name marwanWebSep 22, 2010 · A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects Daniel Huybrechts For a projective K3 surface X we introduce the dense triangulated subcategory S^* of the bounded derived category D^b (Coh (X)) of coherent sheaves on X that is generated by spherical objects. ped hitler fivem