On $-K^2$ for normal surface singularities

dc.creatorChen, Hao
dc.creatorIshii, Shihoko
dc.date1998-03-12
dc.date.accessioned2026-07-07T05:24:04Z
dc.date.available2026-07-07T05:24:04Z
dc.descriptionIn this paper we show the lower bound of the set of non-zero $-K^2$ for normal surface singularities establishing that this set has no accumulation points from above. We also prove that every accumulation point from below is a rational number and every positive integer is an accumulation point. Every rational number can be an accumulation point modulo $\bZ$. We determine all accumulation points in $[0, 1]$. If we fix the value $-K^2$, then the values of $p_g$, $p_a$, mult, embdim and the numerical indices are bounded, while the numbers of the exceptional curves are not bounded.
dc.descriptionAMSLatex 15 pages
dc.identifierhttps://arxiv.org/abs/math/9803047
dc.identifierhttp://arxiv.org/abs/math/9803047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76690
dc.subjectAlgebraic Geometry
dc.titleOn $-K^2$ for normal surface singularities
dc.typetext

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