output
19922026
researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2012 · math.AGShow all

12 papers · 2 filters

math.AG2012★ 7 cited

Fano-Mori contractions of high length on projective varieties with terminal singularities

Marco Andreatta, Luca Tasin

Let X be a projective variety with terminal singularities and let L be an ample Cartier divisor on X. We prove that if f is a birational contraction associated to an extremal ray $…

math.AG2012★ 7 cited

New examples of Calabi-Yau threefolds and genus zero surfaces

Gilberto Bini, Filippo F. Favale, Jorge Neves +1

We classify the subgroups of the automorphism group of the product of 4 projective lines admitting an invariant anticanonical smooth divisor on which the action is free. As a first…

math.AG2012★ 18 cited

Globally generated vector bundles of rank 2 on a smooth quadric threefold

Edoardo Ballico, Sukmoon Huh, Francesco Malaspina

We investigate the existence of globally generated vector bundles of rank 2 with on a smooth quadric threefold and determine their Chern classes. As an automatic conseq…

math.AG2012★ 2 cited

Curvilinear schemes and maximum rank of forms

Edoardo Ballico, Alessandra Bernardi

We define the \emph{curvilinear rank} of a degree form in variables as the minimum length of a curvilinear scheme, contained in the -th Veronese embedding of $\mat…

math.AG2012★ 30 cited

Tensor ranks on tangent developable of Segre varieties

Edoardo Ballico, Alessandra Bernardi

We describe the stratification by tensor rank of the points belonging to the tangent developable of any Segre variety. We give algorithms to compute the rank and a decomposition of…

math.AG2012

On the stratification by -ranks of a linearly normal elliptic curve

Edoardo Ballico

Let be a linearly normal elliptic curve. For any the -rank of is the minimal cardinality of a set such that $P\in…

math.AG2012★ 2 cited

The moduli space of even surfaces of general type with K^2 = 8, p_g = 4 and q = 0

Fabrizio Catanese, Wenfei Liu, Roberto Pignatelli

We settle the first step for the classification of surfaces of general type with K^2 = 8, p_g = 4 and q = 0, classifying the even surfaces (K is 2-divisible). The first even surfac…

math.AG2012★ 1 cited

A classification theorem on Fano bundles

Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde

In this paper we classify rank two Fano bundles $\cE$ on Fano manifolds satisfying . The classification is obtained via the computation of the nef…

math.AG2012★ 4 cited

On the typical rank of real bivariate polynomials

Edoardo Ballico

Here we study the typical rank for real bivariate homogeneous polynomials of degree (the case being settled by P. Comon and G. Ottaviani). We prove that is…

math.AG2012

A few remarks about the Hilbert scheme of smooth projective curves

Edoardo Ballico, Claudio Fontanari

We discuss two conjectures by Francesco Severi and Joe Harris about the irreducibility and the dimension of the Hilbert scheme parameterizing smooth projective curves of given degr…

math.AG2012

Sets computing the symmetric tensor rank

Edoardo Ballico, Luca Chiantini

Let n_d denote the degree d Veronese embedding of a projective space P^r. For any symmetric tensor P, the 'symmetric tensor rank' sr(P) is the minimal cardinality of a subset A of…

math.AG2012

The dual geometry of Hermitian two-point codes

Edoardo Ballico, Alberto Ravagnani

In this paper we study the algebraic geometry of any two-point code on the Hermitian curve and reveal the purely geometric nature of their dual minimum distance. We describe the mi…