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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20240101T000000
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DTSTART;TZID=Asia/Seoul:20250827T163000
DTEND;TZID=Asia/Seoul:20250827T173000
DTSTAMP:20260416T105802
CREATED:20250807T081010Z
LAST-MODIFIED:20250807T081429Z
UID:3987-1756312200-1756315800@ccg.ibs.re.kr
SUMMARY:Makoto Enokizono\, Normal stable degenerations of Noether-Horikawa surfaces
DESCRIPTION:    Speaker\n\n\nMakoto Enokizono\nUniversity of Tokyo\n\n\n\n\n\n\nNoether-Horikawa surfaces are surfaces of general type satisfying the equation K2=2pg−4\, which represents the equality of the Noether inequality K2≥2pg−4 for surfaces of general type. In the 1970s\, Horikawa conducted a detailed study of smooth Noether-Horikawa surfaces\, providing a classification of these surfaces and describing their moduli spaces.\nIn this talk\, I will present an explicit classification of normal stable degenerations of Noether-Horikawa surfaces. Specifically\, I will discuss the following results:\n(1) Classification of Noether-Horikawa surfaces with Q-Gorenstein smoothable log canonical singularities.\n(2) Criterion for determining the (global) Q-Gorenstein smoothability of the surfaces described in (1).\n(3) Description of the KSBA moduli spaces for Q-Gorenstein smoothable normal stable Noether-Horikawa surfaces.\nThis is joint work with Hiroto Akaike\, Masafumi Hattori and Yuki Koto.
URL:https://ccg.ibs.re.kr/event/2025-0827/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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