Bloch beilinson conjecture
Webappears 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 http://math.columbia.edu/~chaoli/slides/BB.pdf
Bloch beilinson conjecture
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WebWe prove that for any polarized symplectic automorphism of the Fano variety of lines of a smooth cubic fourfold (equipped with the Plücker polarization), the induced action on the Chow group of 0-cycles is identity, as predicted by Bloch–Beilinson conjecture. We also prove the same result for the Chow group of homologically trivial 2-cycles up to torsion. 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 …
WebBeilinson-Bloch conjecture and arithmetic inner product formula Abstract: In this talk, we study the Chow group of the motive associated to a tempered global L-packet $\pi$ of … WebJul 25, 2024 · Combined with a result of Fouquet, the formula implies the p-adic analogue of the Beilinson–Bloch–Kato conjecture in analytic rank one, for the selfdual motives attached to Hilbert modular forms and their twists by CM Hecke characters. It also implies one half of the first example of a non-abelian Iwasawa main conjecture for derivatives, ...
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 … WebMar 18, 2013 · We propose a refined version of the Beilinson-Bloch conjecture for the motive associated with a modular form of even weight. This conjecture relates the …
WebSep 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 …
Web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 … fnb of gordonWebThe 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 … fnb of griffin loginWebOct 31, 2024 · of the Bloch-Beilinson conjecture on Abel-Jacobi maps. Hence (1.2) holds for (k,r,n) = (3,1,4) if we assume the Bloch-Beilinson conjecture. Con-sequently, either the Hodge-D-conjecture fails for r3,1 on a product of four general elliptic curves or the Bloch-Beilinson conjecture fails. We work exclusively over Cunless otherwise stated. 2. fnb of fort smith arWebthe Bloch-Kato conjecture, that should be equivalent, but for which a proof of their equivalence requires using more basic, or level-1, but yet unproved and certainly very … greentech renewables arizonahttp://virtualmath1.stanford.edu/~conrad/BSDseminar/refs/BeilinsonintroII.pdf greentech renewables austinWebBeilinson’s Conjectural Formula: GrmCHp(X(k)) Q ˘=Extm MM k (Q;H2p m(X)(p)) where MM kis the category of mixed motives over k. So, in particular, we have no idea how to … fnb of hartford.comWebby Bloch and Beilinson [2] (at least for cycles algebraically equivalent to zero), see also ... conjecture which predicts the full faithfulness for pure motives, see [12]. Let now X be a smooth quasi-projective variety over Q. Then the cycle map induces (0.2) CHp(X,n)Q → … fnb offline