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SUMMARY:A Lefschetz (1\,1) theorem for singular varieties - Inder Kaur\, G
 lasgow
DTSTART:20241030T141500Z
DTEND:20241030T151500Z
UID:TALK220792@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION: The Lefschetz (1\,1) theorem is a classical result that tells
  us that for any smooth projective variety\, a rational (1\,1) Hodge class
  comes from a algebraic cycle of codimension 1. In 1994\, Barbieri-Viale a
 nd Srinivas gave a counter-example to the obvious generalization of this r
 esult to singular varieties. Inspired by Totaro\, in this talk\, I will gi
 ve a modification of the statement of Lefschetz (1\,1) and \nshow that it 
 is satisfied by several singular varieties such as those with ADE-singular
 ities and rational singularities. In particular\, this Lefschetz (1\,1) st
 atement is satisfied by the varieties considered by Barbieri-Viale and Sri
 nivas. This is joint work with A. Dan.
LOCATION:CMS MR13
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