Hodge sheaves for singular families
Sandor Kovacs (University of Washington)
Abstract: This is a report on joint work with Behrouz Taji. Given a flat projective morphism [f:X\to B] of complex varieties, assuming that [B] is smooth, we construct a system of reflexive Hodge sheaves on [B] . If in addition [X] is also smooth then this system gives an extension of the Hodge bundle underlying the VHS of the smooth locus of [f] . This in turn provides a criterion that all VHSs of geometric origin must satisfy. As an independent application we prove a singular version of Viehweg's conjecture about base spaces of families of maximal variation.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.
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Times vary to accommodate speakers time zones but times will be announced in GMT time.
| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
| *contact for this listing |