11 citations · 72 across the 23 of their papers we have counts for
25 papers
Some rational subvarieties of moduli spaces of stable vector bundles
Sonia Brivio, Federico Fallucca, Filippo F. Favale
Let X be a smooth complex irreducible projective variety of dimension and be an ample line bundle on . In this paper, we construct families of -stable vector…
On the irreducibility of Hessian loci of cubic hypersurfaces
Davide Bricalli, Filippo F. Favale, Gian Pietro Pirola
We study the problem of the irreducibility of the Hessian variety associated with a smooth cubic hypersurface . We prove that when $n\leq5…
Holomorphic 1-forms on some coverings of the moduli space of curves
Filippo Francesco Favale, Juan Carlos Naranjo, Gian Pietro Pirola +1
In this paper we consider unramified coverings of the moduli space of smooth projective complex curves of genus . Under some hypothesis on the branch locus of th…
Higher-rank Brill-Noether loci on nodal reducible curves
Sonia Brivio, Filippo F. Favale
In this paper we deal with Brill-Noether theory for higher-rank sheaves on a polarized nodal reducible curve following the ideas of [arXiv:alg-geom/9511003v1].…
Lefschetz properties for jacobian rings of cubic fourfolds and other Artinian algebras
Davide Bricalli, Filippo F. Favale
In this paper, we exploit some geometric-differential techniques to prove the strong Lefschetz property in degree for a complete intersection standard Artinian Gorenstein algeb…
A theorem of Gordan and Noether via Gorenstein rings
Davide Bricalli, Filippo F. Favale, Gian Pietro Pirola
Gordan and Noether proved in their fundamental theorem that an hypersurface with is a cone if and only if has vanishing hessian (i.e. t…
Infinitesimal variation functions for families of smooth varieties
Filippo Francesco Favale, Gian Pietro Pirola
In this paper we introduce some {\it variation functions} associated to the rank of the Infinitesimal Variations of Hodge Structure for a family of smooth projective complex curves…
Quillen connection and the uniformization of Riemann surfaces
Indranil Biswas, Filippo Francesco Favale, Gian Pietro Pirola +1
The Quillen connection on , where is the Hodge line bundle over the moduli stack of smooth complex projective curves curve…
Coherent systems and BGN extensions on nodal reducible curves
Sonia Brivio, Filippo F. Favale
Let be a polarized nodal reducible curve. In this paper we consider coherent systems of type on with . We prove that the moduli spaces of $…
Holomorphic 1-forms on the moduli space of curves
F. F. Favale, G. P. Pirola, S. Torelli
Since the sixties it is well known that there are no non-trivial closed holomorphic -forms on the moduli space of smooth projective curves of genus . In thi…
Nodal curves and polarizations with good properties
S. Brivio, F. F. Favale
In this paper we deal with polarizations on a nodal curve with smooth components. Our aim is to study and characterize a class of polarizations, which we call "good", for which…
Coherent systems on curves of compact type
Sonia Brivio, Filippo F. Favale
Let be a polarized nodal curve of compact type. In this paper we study coherent systems on given by a depth one sheaf having rank on each irreducible compon…
On kernel bundles over reducible curves with a node
S. Brivio, F. F. Favale
Given a vector bundle on a complex reduced curve and a subspace of which generates , one can consider the kernel of the evaluation map $ev_V:V\otimes \mathc…
On vector bundles over reducible curves with a node
Sonia Brivio, Filippo F. Favale
Let be a curve with two smooth components and a single node. Let be the moduli space of -semistable classes of depth one sheaves on having rank $r…
The pluricanonical systems of a product-quotient variety
Filippo F. Favale, Christian Gleissner, Roberto Pignatelli
We give a method for the computation of the plurigenera of a product-quotient manifold. We give two different types of applications to it: to the construction of Calabi-Yau threefo…
Genus 2 curves and generalized theta divisors
Sonia Brivio, Filippo F. Favale
In this paper we investigate generalized theta divisors in the moduli spaces of semistable vector bundles on a curve of genus . We provide a desin…
Covering of elliptic curves and the kernel of the Prym map
Filippo F. Favale, Sara Torelli
Motivated by a conjecture of Xiao, we study families of coverings of elliptic curves and their corresponding Prym map . More precisely, we describe the codifferential of the per…
On the Xiao conjecture for plane curves
Filippo Francesco Favale, Juan Carlos Naranjo, Gian Pietro Pirola
Let be a non-trivial fibration from a complex projective smooth surface to a smooth curve of genus . Let the Clifford index of the generic…
An Unbounded Family of log Calabi-Yau Pairs
Gilberto Bini, Filippo F. Favale
We give an explicit example of log Calabi-Yau pairs that are log canonical and have a linearly decreasing Euler characteristic. This is constructed in terms of a degree two coverin…
Rational curves in CICY's in products of two projective spaces
Filippo Francesco Favale
Let be the product of two projective spaces and consider the general CICY threefold in with configuration matrix . We prove the finiteness part of the analogue of th…
A twisted bicanonical system with base points
Filippo F. Favale, Roberto Pignatelli
By a theorem of Reider, a twisted bicanonical system, that means a linear system of divisors numerically equivalent to a bicanonical divisor, on a minimal surface of general type,…
A Closer Look ar Mirrors and Quotients of Calabi-Yau Threefolds
Gilberto Bini, Filippo Francesco Favale
Let X be the toric variety (P^1)^4 associated with its four-dimensional polytope. Consider a resolution of the singular Fano variety associated with the dual polytope of X. Generic…
Calabi-Yau quotients with terminal singularities
Filippo F. Favale
In this paper we are interested in quotients of Calabi-Yau threefolds with isolated singularities. In particular, we analyze the case when has terminal singularities. We prov…
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…