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DTSTART:20230101T000000
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DTSTART;TZID=Asia/Seoul:20241015T140000
DTEND;TZID=Asia/Seoul:20241015T150000
DTSTAMP:20260416T053800
CREATED:20240930T081700Z
LAST-MODIFIED:20241007T061212Z
UID:3350-1729000800-1729004400@ccg.ibs.re.kr
SUMMARY:Justin Lacini\, On Log del Pezzo Surfaces in Positive Characteristic
DESCRIPTION:    Speaker\n\n\nJustin Lacini\nPrinceton university\n\n\n\n\n\n\nA 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.
URL:https://ccg.ibs.re.kr/event/2024-1015/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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