Cayley-Bacharach theorems and multiplier ideals
Robert Lazarsfeld (Stony Brook University)
Abstract: Cayley-Bacharach theorems originate in the classical statement if two plane curves of degrees c and d meet in cd points, then any curve of degree (c + d - 3) passing through all but one of these points must also pass through the remaining one. Following work of Griffiths and Harris in the 1970s, one now sees this as a special case of a general result about zero-loci of sections of a vector bundle. I will explain how bringing multiplier ideals into the picture leads (for free) to a variant that allows for excess vanishing. This is joint work with Lawrence Ein.
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 |