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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20210101T000000
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DTSTART;TZID=Asia/Seoul:20220531T153000
DTEND;TZID=Asia/Seoul:20220531T163000
DTSTAMP:20260420T030705
CREATED:20220531T063000Z
LAST-MODIFIED:20220405T104109Z
UID:1244-1654011000-1654014600@ccg.ibs.re.kr
SUMMARY:Sheng Meng\, Equivariant Kähler Model for Fujiki's Class
DESCRIPTION:     Speaker\n\n\nSheng Meng\nKIAS\n\n\n\n\n\nLet X be a compact complex manifold in Fujiki’s class C\, i.e.\, admitting a big (1\,1)-class [α]. Consider Aut(X) the group of biholomorphic automorphisms and Aut[α](X) the subgroup of automorphisms preserving the class [α] via pullback. We show that X admits an Aut[α](X)-equivariant Kähler model: there is a bimeromorphic holomorphic map σ : X~ → X from a Kähler manifold X~ such that Aut[α](X) lifts holomorphically via σ.\nThere are several applications. We show that Aut[α](X) is a Lie group with only finitely many components. This generalizes an early result of Fujiki and Lieberman on the Kähler case.We also show that every torsion subgroup of Aut(X) is almost abelian\, and Aut(X) is finite if it is a torsion group.\nThis is a joint work with Jia Jia.
URL:https://ccg.ibs.re.kr/event/2022-05-31-1530/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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