Seminars
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Calendar
Search
Add a seminar

RSS
Forthcoming seminars




Shafarevich Seminar
April 8, 2014 15:00, Moscow, Steklov Mathematical Institute, room 540 (Gubkina 8)
 


Infinitesimal Hodge conjecture

S. J. Bloch

Number of views:
This page:255

Abstract: (Joint with H. Esnault and M. Kerz) It is difficult to talk about infinitesimal deformations of algebraic cycles, but the work of Thomason on the K-theory of singular schemes makes it possible, essentially by defining cycle classes via the chern character applied to vector bundles. Using this approach, we show that the cohomology class of an algebraic cycle remains algebraic under infinitesimal deformation if and only if it remains Hodge. A similar result is proven in mixed characteristic using crystalline cycle classes.

Language: English
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024