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It is well-known that the versal deformations of nonsimple singularities depend on moduli. The first step in deeper understanding of this phenomenon is to determine the versal discriminant, which roughly speaking is an obstacle for analytic triviality of an unfolding or deformation along the moduli. The goal of this paper is to describe the versal discriminant of $Z_{k, 0}$ and $Q_{k, 0}$ singularities basing on the fact that the deformations of these singularities may be obtained as blowing ups of certain deformations...

On Border Basis and Gröbner Basis Schemes.

Lorenzo Robbiano (2009)

Collectanea Mathematica

On branches at infinity of a pencil of polynomials in two complex variables

T. Krasiński (1991)

Annales Polonici Mathematici

Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

On Brauer groups of real Enriques surfaces.

R. Sujatha, V.V. Nikulin (1993)

Journal für die reine und angewandte Mathematik

On Bröcker's t-invariant and separating families for constructible sets.

M. Marshall (1994)

Aequationes mathematicae

On Brody and entire curves

Jörg Winkelmann (2007)

Bulletin de la Société Mathématique de France

We discuss an example of an open subset of a torus which admits a dense entire curve, but no dense Brody curve.

On Buchsbaum bundles on quadric hypersurfaces

Edoardo Ballico, Francesco Malaspina, Paolo Valabrega, Mario Valenzano (2012)

Open Mathematics

Let E be an indecomposable rank two vector bundle on the projective space ℙn, n ≥ 3, over an algebraically closed field of characteristic zero. It is well known that E is arithmetically Buchsbaum if and only if n = 3 and E is a null-correlation bundle. In the present paper we establish an analogous result for rank two indecomposable arithmetically Buchsbaum vector bundles on the smooth quadric hypersurface Q n ⊂ ℙn+1, n ≥ 3. We give in fact a full classification and prove that n must be at most...

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On base partitions and cover partitions of skew characters.

On Bertini's theorem.

On b-function, spectrum and rational singularity.

On binomial set-theoretic complete intersections in characteristic p.

On birational monomial transformations of plane.

On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I

On Bloch's Conjecture.

On blowing down projective spaces in singular varieties.

On blowing up versal discriminants

On Border Basis and Gröbner Basis Schemes.

On branches at infinity of a pencil of polynomials in two complex variables

On Brauer groups of real Enriques surfaces.

On Bröcker's t-invariant and separating families for constructible sets.

On Brody and entire curves

On Buchsbaum bundles on quadric hypersurfaces

On canonical and quasi-canonical liftings.

On canonical fibrations of algebraic surfaces.

On Canonical Surfaces of General Type with K2 = 3... - 10.

On Castelnuovo's equivalence defect.

On Catalan trees and the Jacobian conjecture.

Currently displaying 121 – 140 of 1145