Results 11 to 20 of about 347 (26)

Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero [PDF]

, 2004
2000 Mathematics Subject Classification: 14B05, 32S25.The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern.
Piedra-Sánchez, R., Tornero, J.
core  

A geometric definition of Gabrielov numbers

, 2013
Gabrielov numbers describe certain Coxeter-Dynkin diagrams of the 14 exceptional unimodal singularities and play a role in Arnold's strange duality. In a previous paper, the authors defined Gabrielov numbers of a cusp singularity with an action of a ...
Ebeling, Wolfgang, Takahashi, Atsushi
core   +1 more source

A family of irreducible free divisors in P^2 [PDF]

, 2014
An infinite family of irreducible homogeneous free divisors in $K[x, y, z]$ is constructed. Indeed, we identify sets of monomials $X$ such that the general polynomial supported on $X$ is a free divisor.Comment: comments are ...
Nanduri, Ramakrishna
core  

Defect via differential forms with logarithmic poles

, 2009
We prove formulae for the Hodge numbers of big resolutions of singular hypersurfaces satisfying a Bott-type vanishing ...
Batyrev, Cheltsov, Clemens, Cynk, Cynk, Cynk, Dimca, Dimca, Esnault, Fujino, Fulton, Gennaro, Hartshorne, Kollár, Mavlyutov, McCleary, Oda, Peters, Przhiyalkovskii, Rams, Reid, van Straten, van Straten   +22 more
core   +1 more source

General elements of an m-primary ideal on a normal surface singularity [PDF]

, 2003
In this paper, we show how to apply a theorem by L\^e D.T. and the author about linear families of curves on normal surface singularities to get new results in this area.
Bondil, Romain
core   +2 more sources

Canonical contact structures on some singularity links

, 2014
We identify the canonical contact structure on the link of a simple elliptic or cusp singularity by drawing a Legendrian handlebody diagram of one of its Stein fillings.
Akbulut, Bhupal, Bhupal, Bogomolov, Burak Ozbagci, Caubel, Ding, Ding, Durfee, Etgü, Gay, Gompf, Gompf, Honda, Korkmaz, Laufer, Lekili, Lisca, Mohan Bhupal, Neumann, Neumann, Némethi, Ohta, Pinkham, Popescu-Pampu, Seade   +25 more
core   +1 more source

Lipschitz geometry does not determine embedded topological type

, 2015
We investigate the relationships between the Lipschitz outer geometry and the embedded topological type of a hypersurface germ in $(\mathbb C^n,0)$.
Neumann, Walter D., Pichon, Anne
core   +2 more sources

Uniform stable radius, L\^e numbers and topological triviality for line singularities

, 2017
Let $\{f_t\}$ be a family of complex polynomial functions with line singularities. We show that if $\{f_t\}$ has a uniform stable radius (for the corresponding Milnor fibrations), then the L\^e numbers of the functions $f_t$ are independent of $t$ for ...
Eyral, Christophe
core   +1 more source

On the torsion of Brieskorn modules of homogeneous polynomials

, 2007
Let $f\in \mathbb{C}[X_1,..., X_n]$ be a homogeneous polynomial and B(f) be the corresponding Brieskorn module. We describe the torsion of the Brieskorn module B(f) for n=2 and show that any torsion element has order 1.
Shabbir, Khurram
core   +4 more sources

Local vanishing and Hodge filtration for rational singularities

, 2018
Given an n-dimensional variety Z with rational singularities, we conjecture that for a resolution of singularities whose reduced exceptional divisor E has simple normal crossings, the (n-1)-th higher direct image of the sheaf of differential forms with ...
Mustata, Mircea, Olano, Sebastian, Popa, Mihnea   +2 more
core   +1 more source