38 citations · 62 across the 17 of their papers we have counts for
20 papers
Subvarieties of complete intersections of large degree
Francesco Bastianelli, Gianluca Pacienza
We study subvarieties of very general complete intersections of multidegree , when is sufficiently large. In a seminal…
The Caporaso-Harris-Ran degeneration principle: proof and applications
Francesco Bastianelli, Ciro Ciliberto, Thomas Dedieu +3
Severi varieties are the parameter spaces for curves with prescribed homology class and genus on a smooth surface. We describe their limits along degenerations of surfaces, with a…
Moving curves of least gonality on symmetric products of curves
Francesco Bastianelli, Nicola Picoco
This paper is a sequel of arXiv:2208.00990. Let be a smooth complex projective curve of genus and let be its -fold symmetric product. The covering gonality of…
Covering gonality of symmetric products of curves and Cayley-Bacharach condition on Grassmannians
Francesco Bastianelli, Nicola Picoco
Given an irreducible projective variety , the covering gonality of is the least gonality of an irreducible curve passing through a general point of . In this…
Cones of lines having high contact with general hypersurfaces and applications
Francesco Bastianelli, Ciro Ciliberto, Flaminio Flamini +1
Given a smooth hypersurface of degree , we study the cones swept out by lines having contact order $h\geqs…
Indecomposability of derived categories in families
Francesco Bastianelli, Pieter Belmans, Shinnosuke Okawa +1
Using the moduli space of semiorthogonal decompositions in a smooth projective family, introduced by the second, the third and the fourth author, we propose a novel approach to ind…
On Fano schemes of linear spaces of general complete intersections
F. Bastianelli, C. Ciliberto, F. Flamini +1
We consider the Fano scheme of --dimensional linear subspaces contained in a complete intersection of multi--degree $\underline{d} = (d_1, \ldo…
On complete intersections containing a linear subspace
Francesco Bastianelli, Ciro Ciliberto, Flaminio Flamini +1
Consider the Fano scheme parameterizing -dimensional linear subspaces contained in a complete intersection of multi-degree $\underline{d} = (d_…
Effective cycles on the symmetric product of a curve, II: the Abel-Jacobi faces
Francesco Bastianelli, Alexis Kouvidakis, Angelo Felice Lopez +1
In this paper, which is a sequel of [BKLV], we study the convex-geometric properties of the cone of pseudoeffective -cycles in the symmetric product of a smooth curve .…
Effective cycles on the symmetric product of a curve, I: the diagonal cone. (with an appendix by Ben Moonen)
Francesco Bastianelli, Alexis Kouvidakis, Angelo Felice Lopez +1
In this paper and in its sequel [BKLV], we investigate the cone of pseudoeffective -cycles in the symmetric product of a smooth curve . In the pres…
Gonality of curves on general hypersurfaces
Francesco Bastianelli, Ciro Ciliberto, Flaminio Flamini +1
This paper concerns the existence of curves with low gonality on smooth hypersurfaces of sufficiently large degree. It has been recently proved that if …
On irrationality of surfaces in
Francesco Bastianelli
The degree of irrationality of a -dimensional complex projective variety is the least degree of a dominant rational map . It is a wel…
Gonality of curves on fundamental loci of first order congruences (Appendix to article of Ein, Lazarsfeld and Ullery)
Francesco Bastianelli, Pietro De Poi
This note is an appendix to 'Measures of irrationality for hypersurfaces of large degree' by L. Ein, R. Lazarsfeld and B. Ullery. We prove an existence result for families of curve…
Measures of irrationality for hypersurfaces of large degree
Francesco Bastianelli, Pietro De Poi, Lawrence Ein +2
We study various measures of irrationality for hypersurfaces of large degree in projective space and other varieties. These include the least degree of a rational covering of proje…
On large theta-characteristics with prescribed vanishing
Edoardo Ballico, Francesco Bastianelli, Luca Benzo
Let be a smooth projective curve of genus . Fix an integer , and let be a sequence of positive integers with $k_1+\ldots+k_n=…
Subcanonical points on projective curves and triply periodic minimal surfaces in the Euclidean space
Francesco Bastianelli, Gian Pietro Pirola
A point on a smooth complex projective curve of genus is subcanonical if the divisor is canonical. In the moduli space of pointed curves, the subcanonical l…
On dominant rational maps from products of curves to surfaces of general type
Francesco Bastianelli, Gian Pietro Pirola
In this paper we investigate the existence of generically finite dominant rational maps from products of curves to surfaces of general type. We prove that the product CxD of two di…
The gonality theorem of Noether for hypersurfaces
Francesco Bastianelli, Renza Cortini, Pietro De Poi
It is well known since Noether that the gonality of a smooth plane curve of degree d>3 is d-1. Given a k-dimensional complex projective variety X, the most natural extension of gon…
On symmetric products of curves
Francesco Bastianelli
Let C be a smooth complex projective curve of genus g and let X be its second symmetric product. This paper concerns the study of some attempts at extending to X the notion of gona…
Galois closure and Lagrangian varieties
Francesco Bastianelli, Gian Pietro Pirola, Lidia Stoppino
We use Galois closures of finite rational maps between complex projective varieties to introduce a new method for producing varieties such that the holomorphic part of the cup prod…