Results 21 to 30 of about 370 (51)
A family of irreducible free divisors in P^2 [PDF]
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
A geometric definition of Gabrielov numbers
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
General elements of an m-primary ideal on a normal surface singularity [PDF]
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
Strange duality of weighted homogeneous polynomials
We consider a mirror symmetry between invertible weighted homogeneous polynomials in three variables. We define Dolgachev and Gabrielov numbers for them and show that we get a duality between these polynomials generalizing Arnold's strange duality ...
Arnold +5 more
core +1 more source
Hodge-type integrals on moduli spaces of admissible covers
We study Hodge Integrals on Moduli Spaces of Admissible Covers. Motivation for this work comes from Bryan and Pandharipande's recent work on the local GW theory of curves, where analogouos intersection numbers, computed on Moduli Spaces of Relative ...
Cavalieri, Renzo
core +2 more sources
Testing Lipschitz non normally embedded complex spaces
We introduce a sectional criterion for testing if complex analytic germs $(X,0) \subset (\bC^n, 0)$ are Lipschitz non normally embedded.Comment: title changed; more introduction.
Denkowski, Maciej, Tibar, Mihai
core
Normal crossing properties of complex hypersurfaces via logarithmic residues
We introduce a dual logarithmic residue map for hypersurface singularities and use it to answer a question of Kyoji Saito. Our result extends a theorem of L\^e and Saito by an algebraic characterization of hypersurfaces that are normal crossing in ...
Aleksandrov +13 more
core +1 more source
Canonical contact structures on some singularity links
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 +25 more
core +1 more source
Gap conjecture for 3-dimensional canonical thresholds
We prove that the interval $(5/6, 1)$ contains no 3-dimensional canonical thresholds.Comment: 8 pages, latex, one reference is ...
Prokhorov, Yuri
core
Fundamental Domains in Lorentzian Geometry [PDF]
We consider discrete subgroups Gamma of the simply connected Lie group SU~(1,1), the universal cover of SU(1,1), of finite level, i.e. the subgroup intersects the centre of SU~(1,1) in a subgroup of finite index, this index is called the level of the ...
Pratoussevitch, Anna
core +4 more sources

