Title: Stringy invariants of normal surfaces
Authors: Veys, Willem # ×
Issue Date: 2004
Publisher: Amer mathematical soc
Series Title: Journal of algebraic geometry vol:13 issue:1 pages:115-141
Abstract: The stringy Euler number and E-function of Batyrev for log terminal singularities in dimension 2 can 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 non-negative coefficients, yielding well defined (rationally graded) stringy Hodge numbers.
ISSN: 1056-3911
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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