On the beilinson fiber square
Webconjecture similar to the sketch above of the Beilinson conjecture. For the p-adic Beilinson conjectures one has to replace Deligne cohomology with syntomic cohomology [30, 40, 3], the Beilinson regulator with the syntomic regulator, and L-functions with p-adic L-functions. Syntomic cohomology Hi syn(Y;n) is deflned for a smooth scheme Y of ... WebUsing topological cyclic homology, we give a refinement of Beilinson's $p$-adic Goodwillie isomorphism between relative continuous $K$-theory and cyclic homology. As a result, …
On the beilinson fiber square
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Web1 de dez. de 2024 · Keywords: 14F30 / 14F40 / 19D55 / 19E15 / Cyclic homology / deformation of algebraic cycles / motivic cohomology / p-adic K-theory
WebMost of my papers and preprints can be found on the arxiv server Here is my CV and publication list. Follow these links for some old courses and seminars including lecture notes for the topics course "Canonical bases and representation categories" by Tina Kanstrup. The Open Coursware page featuring the material of the course 18.725, the first semester … WebWe give a systematic method for computation of Beilinson's regulator map on K_1 of a fibration of curves which has a totally degenerate semistable fiber. Discover the world's research 20+ million ...
WebBeilinson de nes, for a given quasi-projective variety X =Q, its motivic coho-mology H. M (X;Q()) as a suitable piece of K-theory of X. Let X be a smooth projective variety over Q. The L-function L(hi(X);s), associated to the ith coho-mology of X, is expected to satisfy a functional equation relating its values at s and i+ 1 s. http://export.arxiv.org/abs/2003.12541
WebON THE BEILINSON FIBER SQUARE BENJAMIN ANTIEAU, AKHIL MATHEW, MATTHEW MORROW, AND THOMAS NIKOLAUS Abstract. Using topological cyclic …
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