Yano's Conjecture for Two-Puiseux-Pair Irreducible Plane Curve Singularities
نویسندگان
چکیده
منابع مشابه
Effective construction of irreducible curve singularities
1 By using the effective notion of the approximate roots of a polynomial, we describe the equisingularity classes of irreducible curve singularities with a given Milnor number.
متن کاملEquisingular calculations for plane curve singularities
We present an algorithm which, given a deformation with section of a reduced plane curve singularity, computes equations for the equisingularity stratum (that is, the μ-constant stratum in characteristic 0) in the parameter space of the deformation. The algorithm works for any, not necessarily reduced, parameter space and for algebroid curve singularities C defined over an algebraically closed ...
متن کاملIntroduction to Plane Curve Singularity (toric Resolution and Puiseux Pairs)
Let (C,O), O = (0, 0) be a plane curve which is defined by {(x, y) ∈ U ; f(x, y) = 0} where U is an open neighbourhood of O and f(x, y) is an holomorphic function defined on U . The purpose of this survey is to give an elementary proof of an embedded resolution of a curve germ (C,O), first by ordinary blowing-ups and then by toric modifications. This note is prepared for the lecture at CIMPA sc...
متن کاملOka’s Conjecture on Irreducible Plane Sextics. Ii
We complete the proof of Oka’s conjecture on the Alexander polynomial of an irreducible plane sextic. We also calculate the fundamental groups of irreducible sextics with a singular point adjacent to J10.
متن کاملOka’s Conjecture on Irreducible Plane Sextics
We partially prove and partially disprove Oka’s conjecture on the fundamental group/Alexander polynomial of an irreducible plane sextic. Among other results, we enumerate all irreducible sextics with simple singularities admitting dihedral coverings and find examples of Alexander equivalent Zariski pairs of irreducible
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 2017
ISSN: 0034-5318
DOI: 10.4171/prims/53-1-7