Rational curves on Enriques surfaces, but only few
Matthias Schuett (Leibniz Universität Hannover)
Abstract: Rational curves play a fundamental role for the structure of an Enriques surface. I will first review the general theory before focussing on the case of low degree rational curves. To this end, I will discuss joint work with S. Rams (Krakow) which develops an explicit sharp bound on the number of rational curves of given degree relative to the degree of the surface. The proof builds on a general argument in parallel to the case of K3 surfaces which allows us to extend bounds of Miyaoka and Degtyarev.
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.
If you use a calendar system, you can see the individual seminars at bit.ly/zag-seminar-calendar
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 |