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Justin Lacini, On Log del Pezzo Surfaces in Positive Characteristic

October 15 @ 2:00 pm - 3:00 pm KST

B236-1, IBS Korea, Republic of

    Speaker

Justin Lacini
Princeton university

A log del Pezzo surface is a normal surface with only Kawamata log terminal singularities and anti-ample canonical class. Over the complex numbers, Keel and McKernan have classified all but a bounded family of log del Pezzo surfaces of Picard number one. In this talk we will extend their classification to positive characteristic. In particular, we will prove that for p>3 every log del Pezzo surface of Picard number one admits a log resolution that lifts to characteristic zero over a smooth base. As a consequence, we will see that Kawamata-Viehweg vanishing holds in this setting. Finally, we will conclude with some counterexamples in characteristic two, three and five.

Details

Date:
October 15
Time:
2:00 pm - 3:00 pm KST
Event Category:
Event Tags:

Venue

B236-1
IBS Korea, Republic of

Organizer

Dongseon Hwang
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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