General elements in anticanonical systems of threefolds with divisorial contractions and applications to classification

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dc.creatorKawakita, Masayuki
dc.date2001-10-04
dc.date.accessioned2026-07-07T04:43:39Z
dc.date.available2026-07-07T04:43:39Z
dc.descriptionWe treat threefolds with divisorial contractions whose exceptional divisors contract to compound Du Val points. We prove that general elements in their anticanonical systems around the exceptional divisors have at worst Du Val singularities. As applications to classification, we describe divisorial contractions to compound A_n points, and moreover we conclude that discrepancies of divisorial contractions to compound D_n or E_n points are at most four.
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/0110050
dc.identifierhttp://arxiv.org/abs/math/0110050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62321
dc.subjectAlgebraic Geometry
dc.subject14E30
dc.titleGeneral elements in anticanonical systems of threefolds with divisorial contractions and applications to classification
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