The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors
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Publisher
Springer Science and Business Media LLC
Link
http://link.springer.com/content/pdf/10.1007/s11853-010-0040-9.pdf
Reference10 articles.
1. Brieskorn E, Knörrer H (1986) Plane Algebraic Curves. Birkhäuser, Basel
2. Campillo A, Delgado F, Gusein–Zade SM (1999) On generators of the semigroup of a plane curve singularity. J Lond Math Soc (2) 60:420–430
3. Campillo A, Delgado F, Gusein-Zade SM (2003) The Alexander polynomial of a plane curve singularity via the ring of functions on it. Duke Math J 117(1):125–156
4. Cutkosky SD, Herzog J, Reguera A (2004) Poincaré series of resolutions of surface singularities. Trans Am Math Soc 356(5):1833–1874
5. Delgado F (1987) The semigroup of values of a curve singularity with several branches. Manuscr Math 59:347–374
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1. Are algebraic links in the Poincaré sphere determined by their Alexander polynomials?;Mathematische Zeitschrift;2019-04-05
2. Antonio Campillo;Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics;2018
3. On the topological type of a set of plane valuations with symmetries;Mathematische Nachrichten;2017-01-05
4. Poincaré series for curve singularities and its behaviour under projections;Journal of Pure and Applied Algebra;2015-06
5. Hilbert function, generalized Poincaré series and topology of plane valuations;Monatshefte für Mathematik;2013-08-21
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