Stringy invariants of normal surfaces

dc.creatorVeys, Willem
dc.date2002-05-28
dc.date.accessioned2026-07-07T04:48:45Z
dc.date.available2026-07-07T04:48:45Z
dc.descriptionThe stringy Euler number and E-function of Batyrev for log terminal singularities can in dimension 2 also be considered for a normal surface singularity with all log discrepancies nonzero in its minimal log resolution. Here we obtain a structure theorem for resolution graphs with respect to log discrepancies, implying that these stringy invariants can be defined in a natural way, even when some log discrepancies are zero, and more precisely for all normal surface singularities which are not log canonical. We also show that the stringy E-functions of log terminal surface singularities are polynomials (with rational powers) with nonnegative coefficients, yielding well defined (rationally graded) stringy Hodge numbers.
dc.description22 pages, to appear in J. Alg. Geom
dc.identifierhttps://arxiv.org/abs/math/0205293
dc.identifierhttp://arxiv.org/abs/math/0205293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64172
dc.subjectAlgebraic Geometry
dc.subject14B05; 14J17; 32S50
dc.titleStringy invariants of normal surfaces
dc.typetext

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