Characterizing Projective Spaces for Varieties with at Most Quotient Singularities

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dc.creatorChen, Jiun-Cheng
dc.date2006-04-25
dc.date.accessioned2026-07-07T07:11:14Z
dc.date.available2026-07-07T07:11:14Z
dc.descriptionWe generalize the well-known numerical criterion for projective spaces by Cho, Miyaoka and Shepherd-Barron to varieties with at worst quotient singularities. Let $X$ be a normal projective variety of dimension $n \geq 3$ with at most quotient singularities. Our result asserts that if $C \cdot (-K_X) \geq n+1$ for every curve $C \subset X$, then $X \cong \PP^n$.
dc.identifierhttps://arxiv.org/abs/math/0604522
dc.identifierhttp://arxiv.org/abs/math/0604522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111678
dc.subjectAlgebraic Geometry
dc.titleCharacterizing Projective Spaces for Varieties with at Most Quotient Singularities
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