Singular metrics and the Hodge conjecture
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filed under:
Seminar
Gregory Pearlstein (Texas A&M University)
What |
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When |
Jun 30, 2016 from 10:30 am to 11:30 am |
Where | Bonn, Hörsaal MPI, Vivatsgasse 7 |
Contact Name | Sachinidis |
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A Hodge class on a smooth complex projective variety gives rise to an associated hermitian line bundle on a Zariski open subset of a complex projective space P^n. I will discuss recent work with P. Brosnan which shows that the Hodge conjecture is equivalent to the existence of a particular kind of degenerate behavior of this metric near the boundary.