A new Invariant for Plane Curve Singularities (original) (raw)

New Asymptotics in the Geometry of Equisingular Families of Curves

Gert-Martin Greuel

International Mathematics Research Notices

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Equisingular calculations for plane curve singularities

Christoph Lossen, Antonio Campillo

Journal of Symbolic Computation, 2007

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The Gonality of Singular Plane Curves

Fumio Sakai

Tokyo Journal of Mathematics, 2004

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Equianalytic and equisingular families of curves on surfaces

Christoph Lossen

Manuscripta Mathematica, 1996

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Plane algebraic curves with prescribed singularities

Eugenii Shustin

2020

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Characterization of non-degenerate plane curve singularities

Andrzej Lenarcik

2007

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On Delta for parameterized Curve Singularities

Gert-Martin Greuel

Cornell University - arXiv, 2021

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Equisingular Families of Projective Curves

Christoph Lossen

Global Aspects of Complex Geometry, 2006

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On the number of singular points of plane curves

Mikhail Zaidenberg

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Singularity theory of plane curves and its applications

Nugzar Suramlishvili

European Journal of Mechanics - B/Fluids

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Improving the computation of invariants of plane curve singularities

Ahsan Binyamin

Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2013

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Generalized Noether’s Formulas for Plane Curves Singularities

Janusz Gwoździewicz

2011

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Topics in deformation and moduli theory for singularities on curves and surfaces

Trond Stølen Gustavsen

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Equigeneric and equisingular families of curves on surfaces

Thomas Dedieu

Publicacions Matemàtiques, 2017

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Genericity results for singular curves

Emmanuel Trélat

2006

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Castelnuovo function, zero-dimensional schemes and singular plane curves

Christoph Lossen

Journal of Algorithms, 1999

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Equisingular Deformations of Plane Curves in Arbitrary Characteristic

Christoph Lossen

2006

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The minimal Tjurina number of irreducible germs of plane curve singularities

Patricio Almirón

Indiana University Mathematics Journal, 2021

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The 4/3 Problem for Germs of Isolated Plane Curve Singularities

Patricio Almirón

Trends in Mathematics, 2021

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On deformations of maps and curve singularities

Cong Duong Le

manuscripta mathematica, 2008

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The Delta Invariant and Simultaneous Normalization for Families of Isolated Non-Normal Singularities

Gert-Martin Greuel

Cornell University - arXiv, 2021

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A short proof that equisingular plane curve singularities are topologically equivalent

Tadeusz Krasinski

Analytic and Algebraic Geometry 2, 2017

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Equisingularity in One-Parameter Families of Generically Reduced Curves

Mark Spivakovsky

International Mathematics Research Notices, 2016

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Inflectionary Invariants for Isolated Complete Intersection Curve Singularities

Ashvin Anand Swaminathan

arXiv (Cornell University), 2017

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Enumerating singular curves on surfaces

Ragni Piene

2001

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Plane curves of minimal degree with prescribed singularities

Christoph Lossen, Eugenii Shustin

Inventiones Mathematicae, 1998

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The regularity index and the depth of the tangent cone of curve singularities

Juan Sandoval Elias

Japanese journal of mathematics. New series, 1996

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On resolution complexity of plane curves

Tráng .Lê

Kodai Mathematical Journal, 1995

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