AbstractLet X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX associated to the Hilbert polynomial χ(x1L1+⋯+xρLρ), where L1,…,Lρ is a basis of Pic(X), ρ being the Picard number of X, and x1,…,xρ are complex variables. After studying general properties of VX we specialize to the Hilbert curve of a polarized variety (X,L), namely the plane curve of degree dim(X) associated to χ(xKX+yL). Special emphasis is given to the case of polarized threefolds
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
We study the Hilbert scheme H-d,g,r(L) parametrizing smooth, irreducible, non-degenerate and linearl...
AbstractThis paper describes a method of producing projective curves with easily computed Hilbert fu...
Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety V_X associ...
AbstractLet X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX...
Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX associa...
The Hilbert curve of a complex polarized manifold (X,L) is the complex affine plane curve of degre...
Let (X,L) be a complex polarized n-fold with the structure of a geometric quadric fibration over a s...
We show that a smooth projective curve of genus $g$ can be reconstructed from its polarized Jacobian...
We study curves in Hilbert modular varieties from the point of view of the Green-Gri\0ths-Lang conje...
Let X be a projective bundle over a smooth curve and let L be an ample line bundle on X inducing O_{...
We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for th...
A polarised variety is a modern generalization of the notion of a variety in classical algebraic geo...
The possible degrees for the generators of an irreducible arithmetically Cohen Macaulay curve of P3 ...
Abstract: Modifying Mumford’s example, we construct a generically non-reduced component of the Hilbe...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
We study the Hilbert scheme H-d,g,r(L) parametrizing smooth, irreducible, non-degenerate and linearl...
AbstractThis paper describes a method of producing projective curves with easily computed Hilbert fu...
Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety V_X associ...
AbstractLet X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX...
Let X be a normal Gorenstein complex projective variety. We introduce the Hilbert variety VX associa...
The Hilbert curve of a complex polarized manifold (X,L) is the complex affine plane curve of degre...
Let (X,L) be a complex polarized n-fold with the structure of a geometric quadric fibration over a s...
We show that a smooth projective curve of genus $g$ can be reconstructed from its polarized Jacobian...
We study curves in Hilbert modular varieties from the point of view of the Green-Gri\0ths-Lang conje...
Let X be a projective bundle over a smooth curve and let L be an ample line bundle on X inducing O_{...
We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for th...
A polarised variety is a modern generalization of the notion of a variety in classical algebraic geo...
The possible degrees for the generators of an irreducible arithmetically Cohen Macaulay curve of P3 ...
Abstract: Modifying Mumford’s example, we construct a generically non-reduced component of the Hilbe...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
We study the Hilbert scheme H-d,g,r(L) parametrizing smooth, irreducible, non-degenerate and linearl...
AbstractThis paper describes a method of producing projective curves with easily computed Hilbert fu...
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