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Olivier Martin, Measures of Association for Algebraic Varieties

December 28, 2021 @ 11:00 am - 12:00 pm KST

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     Speaker

Olivier Martin
Stony Brook Univ.

I will discuss recent work in collaboration with R. Lazarsfeld which explores the following question: Given varieties X and Y of the same dimension how far are they from being birational? I will define various “measures of association” which quantify the failure of X and Y to be birational and present partial results, heuristics, and several open problems. For instance, given an n-fold Z dominating very general hypersurfaces X and Y in Pn+1 of degrees d,e > 2n+1, we show that the degrees of the projections Z—>X and Z—>Y are at least d and e. Moreover, given very general hyperelliptic curves X and Y, any hyperelliptic curve in XxY is contracted by the projection to X or the projection to Y.

Details

Date:
December 28, 2021
Time:
11:00 am - 12:00 pm KST
Event Category:
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Venue

on-line

Organizer

Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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