7 papers · 1 filter
On the slope inequalities for extremal curves
Valentina Beorchia, Michela Brundu
The present paper concerns the question of the violation of the r-th inequality for extremal curves in the projective r-space, posed by T. Kato and G. Martens. We show that the ans…
Configurations of eigenpoints
Valentina Beorchia, Rosa M. Miró-Roig
This note is motivated by the Question 16 of http://cubics.wikidot.com: Which configurations of 15 points in the projective 3-space arise as eigenpoints of a cubic surface? We prov…
Trigonal deformations of rank one and Jacobians
Valentina Beorchia, Gian Pietro Pirola, Francesco Zucconi
In this paper we study the infinitesimal deformations of a trigonal curve that preserve the trigonal series and such that the associate infinitesimal variation of Hodge structure (…
The maximum genus problem for locally Cohen-Macaulay space curves
Valentina Beorchia, Paolo Lella, Enrico Schlesinger
Let denote the maximum arithmetic genus of a locally Cohen-Macaulay curve of degree in that is not contained in a surface of degree . A…
A note on Harris Morrison sweeping families of maximal gonality
Valentina Beorchia, Francesco Zucconi
Harris and Morrison constructed semistable families f:F \to Y of k-gonal curves of genus g such that for every k the corresponding modular curves give a sweeping family in the k-go…
Canonical map of low codimensional subvarieties
Valentina Beorchia, Ciro Ciliberto, Vincenzo Di Gennaro
Fix integers , and . We prove that for certain projective varieties (e.g. certain possibly singular complete intersections), there are only fi…