Poincaré series of filtration associated with Newton diagram and topological types of singularities

DOI10.3103/S0027132215040038zbMath1327.32042MaRDI QIDQ891136

Grigory Solomadin

Publication date: 16 November 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

Poincaré seriesgerms of holomorphic functions

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Local complex singularities (32S05)

Cites Work

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• Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
• Improved local well-posedness for quasilinear wave equations in dimension three
• Poincaré series and zeta function of the monodromy of a quasihomogeneous singularity.
• Integration with respect to the Euler characteristic and its applications
• Multi-variable Poincaré series associated with Newton diagrams
• ON DIVISORIAL FILTRATIONS ASSOCIATED WITH NEWTON DIAGRAMS
• On a Newton filtration for functions on a curve singularity

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