Poincaré series of resolutions of surface singularities

DOI10.1090/S0002-9947-03-03346-4zbMath1076.14006OpenAlexW1513327159MaRDI QIDQ4452264

Steven Dale Cutkosky, Jürgen Herzog, Ana J. Reguera-López

Publication date: 12 February 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03346-4

zbMATH Keywords

normal surface singularityrationality of the Poincaré series

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

Nilpotence of Frobenius action and the Hodge filtration on local cohomology ⋮ Examples of multiplicities and mixed multiplicities of filtrations ⋮ Motivic Poincaré series of cusp surface singularities ⋮ The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors ⋮ Hilbert function, generalized Poincaré series and topology of plane valuations ⋮ Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds ⋮ Local monomialization of analytic maps ⋮ Poincaré series for curve singularities and its behaviour under projections ⋮ Equivariant Poincaré series of filtrations and topology ⋮ Semigroup and Poincaré series for a finite set of divisorial valuations ⋮ The Seiberg-Witten invariants of negative definite plumbed 3-manifolds ⋮ Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ⋮ The cohomology of line bundles of splice-quotient singularities ⋮ Mixed multiplicities of filtrations ⋮ On Poincaré series associated with links of normal surface singularities ⋮ Local monomialization of transcendental extensions. ⋮ Mixed multiplicities of divisorial filtrations

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