Results 11 to 20 of about 370 (51)
Free divisors versus stability and coincidence thresholds
, 2014 We show that there is an unexpected relation between free divisors and stability and coincidence thresholds for projective ...
Sticlaru, Gabriel
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An irreducibility criterion for power series
, 2016 We prove an irreducibility criterion for polynomials with power series coefficients generalizing previous known results concerning quasi-ordinary ...
Rond, Guillaume, Schober, Bernd
core +3 more sources
Towards transversality of singular varieties: splayed divisors [PDF]
, 2012 We study a natural generalization of transversally intersecting smooth hypersurfaces in a complex manifold: hypersurfaces, whose components intersect in a transversal way but may be themselves singular. Such hypersurfaces will be called splayed divisors.
Faber, Eleonore
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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
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
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On Deformations of Nodal Hypersurfaces
, 2017 We extend the infinitesimal Torelli theorem for smooth hypersurfaces to nodal hypersurfaces.Comment: to appear in Canadian Mathematical ...
Wang, Zhenjian
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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 +22 more
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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 +2 more
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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
Lipschitz normal embedding among superisolated singularities
, 2018 Any germ of a complex analytic space is equipped with two natural metrics: the outer metric induced by the hermitian metric of the ambient space and the inner metric, which is the associated riemannian metric on the germ.
Misev, Filip, Pichon, Anne
core +3 more sources