In this paper, we will show that the Hesselink stratification of a Hilbert scheme of hypersurfaces is independent of the choice of Pl¨ucker coordinate and there is a positive relation between the length of Hesselink’s worst virtual 1-parameter subgroup and multiplicity of a projective hypersurface
Let X be a projective variety with isolated singularities, complete intersection of a smooth hypers...
This article presents the theory of focal locus applied to the hypersurfaces in the projective spac...
AbstractIt is proved that if H1,…, Hm are hypersurfaces of degree at most d in n-dimensional project...
AbstractWe present results on multiplicity theory. Differential operators on smooth schemes play a c...
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in con...
We introduce projective hypersurfaces associated to additive polynomials over finite fields and sho...
In a previous paper [6] we used the theory of the discriminant to obtain bounds on the extent to whi...
Abstract. Let X be a nondegenerate projective variety of degree d and codimension e in a projective ...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
Abstract. We express the difference between the Hodge polynomials of the singular and resp. generic ...
AbstractWe study geometric properties of certain obstructed equisingular families of projective hype...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
Suppose that f defines a singular, complex affine hypersurface. If the critical locus of f is one-di...
This article has been accepted for publication in International mathematics research notices, Publis...
We study relative hypersurfaces, and prove an instability condition for the fibres. This is the star...
Let X be a projective variety with isolated singularities, complete intersection of a smooth hypers...
This article presents the theory of focal locus applied to the hypersurfaces in the projective spac...
AbstractIt is proved that if H1,…, Hm are hypersurfaces of degree at most d in n-dimensional project...
AbstractWe present results on multiplicity theory. Differential operators on smooth schemes play a c...
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in con...
We introduce projective hypersurfaces associated to additive polynomials over finite fields and sho...
In a previous paper [6] we used the theory of the discriminant to obtain bounds on the extent to whi...
Abstract. Let X be a nondegenerate projective variety of degree d and codimension e in a projective ...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
Abstract. We express the difference between the Hodge polynomials of the singular and resp. generic ...
AbstractWe study geometric properties of certain obstructed equisingular families of projective hype...
We study various measures of irrationality for hypersurfaces of large degree in projective space and...
Suppose that f defines a singular, complex affine hypersurface. If the critical locus of f is one-di...
This article has been accepted for publication in International mathematics research notices, Publis...
We study relative hypersurfaces, and prove an instability condition for the fibres. This is the star...
Let X be a projective variety with isolated singularities, complete intersection of a smooth hypers...
This article presents the theory of focal locus applied to the hypersurfaces in the projective spac...
AbstractIt is proved that if H1,…, Hm are hypersurfaces of degree at most d in n-dimensional project...