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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20250101T000000
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DTSTART;TZID=Asia/Seoul:20260402T140000
DTEND;TZID=Asia/Seoul:20260402T150000
DTSTAMP:20260417T030029
CREATED:20260322T073033Z
LAST-MODIFIED:20260325T054838Z
UID:4476-1775138400-1775142000@ccg.ibs.re.kr
SUMMARY:Cylindricity of weighted singular del Pezzo surfaces defined over fields of characteristic zero
DESCRIPTION:    Speaker\n\n\nDae-Won Lee\nEwha Womans University\n\n\n\n\n\n\nThe study of cylinders in normal projective varieties is of significant interest due to their intrinsic link to unipotent group actions on affine algebraic varieties. Over a field $\mathbb{k}$ of characteristic zero\, it is known that cylindricity in lower-dimensional varieties (appearing as generic fibers) implies the existence of vertical cylinders in higher-dimensional fibered spaces. In this talk\, we give a criterion for the cylindricity of $\mathbb{k}$-forms of a singular del Pezzo surface obtained as a blow-up of a weighted projective plane. Moreover\, using the aforementioned criterion\, we construct a Fano 3-fold which contains a vertical cylinder. This is joint work with In-Kyun Kim and Masatomo Sawahara.
URL:https://ccg.ibs.re.kr/event/tba-3/
LOCATION:B236-1\, IBS\, Korea\, Republic of
CATEGORIES:Algebraic Geometry Seminar
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