Rational curves on del Pezzo surfaces in characteristic p
Brian Lehmann (Boston College)
Abstract: Testa classified the components of the moduli space of rational curves on a del Pezzo surface over an algebraically closed field of characteristic 0. In characteristic p, new pathologies can appear. I will explain how such pathologies are predicted by Geometric Manin's Conjecture and how this perspective leads to a description of "problematic" surfaces. When no pathologies occur, we can completely classify the components of the moduli space of rational curves. This is joint work with Roya Beheshti, Eric Riedl, and Sho Tanimoto.
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 |