7 citations · 26 across the 18 of their papers we have counts for
21 papers
Effective characterization of semi-abelian varieties
Jefferson Baudin, Sofia Tirabassi
We obtain effective characterizations of complex semi-abelian varieties in arbitrary dimension in terms of logarithmic irregularity and the first two logarithmic plurigenera, among…
Numerical inequalities for quasi-projective surfaces
Rita Pardini, Sofia Tirabassi
Let be a smooth quasi-projective complex surface with compactification and set , . We prove that $…
Cohomological rank functions and syzygies of projective bundles on abelian varieties
Minyoung Jeon, Sofia Tirabassi
We use Jiang--Pareschi's cohomological rank functions and techniques developed by Caucci and Ito to study syzygies of projective bundles on abelian varieties. Consequently, we gene…
A footnote to a theorem of Kawamata
Margarida Mendes Lopes, Rita Pardini, Sofia Tirabassi
Kawamata has shown that the quasi-Albanese map of a quasi-projective variety with log-irregularity equal to the dimension and log-Kodaira dimension 0 is birational. In this note we…
Effective characterization of quasi-abelian surfaces
Margarida Mendes Lopes, Rita Pardini, Sofia Tirabassi
Let V be a smooth quasi-projective complex surface such that the three first logarithmic plurigenera are equal to 1 and the logarithmic irregularity is equal to 2. We prove that th…
Counting Twisted Tame Fourier-Mukai Partners of an Ordinary K3 Surface
Tanya Kaushal Srivastava, Sofia Tirabassi
In this article, we prove that a tame twisted K3 surface over an algebraically closed field of positive characteristic has only finitely many tame twisted Fourier-Mukai partners an…
On the Brauer group of bielliptic surfaces
Jonas Bergström, Eugenia Ferrari, Sofia Tirabassi +1
We provide explicit generators for the torsion of the second cohomology of bielliptic surfaces, and we use this to study pullback map between Brauer group of a bielliptic surface a…
On ordinary Enriques surfaces in positive characteristic
Roberto Laface, Sofia Tirabassi
We give a notion of ordinary Enriques surfaces and their canonical lifts in any positive characteristic, and we prove Torelli-type results for this class of Enriques surfaces.
Semiorthogonal Decompositions on Enriques Surfaces and Derived Torelli Theorem
Riccardo Moschetti, Giorgio Scattareggia, Sofia Tirabassi
We show that the general Enriques surface can be recovered from the Kuznetsov component of its bounded derived category of coherent sheaves.
Theta-regularity and log-canonical threshold
Morten Oygarden, Sofia Tirabassi
We show that an inequality, proven by Küronya-Pintye, which governs the behavior of the log-canonical threshold of an ideal over and that of its Castelnuovo-Mumford…
Fourier-Mukai partners of Enriques and bielliptic surfaces in positive characteristic
Katrina Honigs, Max Lieblich, Sofia Tirabassi
We prove that a twisted Enriques (respectively, untwisted bielliptic) surface over an algebraically closed field of positive characteristic at least 3 (respectively, at least 5) ha…
A note on the derived category of Enriques surfaces in characteristic 2
Sofia Tirabassi
We show that the (twisted) derived category "recognizes" the three different kinds of Enriques surfaces in characteristic 2
Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
Katrina Honigs, Luigi Lombardi, Sofia Tirabassi
We prove that any Fourier--Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Gieseker-stable shea…
Deformations of minimal cohomology classes on abelian varieties
Luigi Lombardi, Sofia Tirabassi
We show that the infinitesimal deformations of the Brill--Noether locus attached to a smooth non-hyperelliptic curve are in one-to-one correspondence with the deformation…
GV-subschemes and their embeddings in principally polarized abelian varieties
Luigi Lombardi, Sofia Tirabassi
We prove that the embedding of a -subscheme in a principally polarized abelian variety does not factor through any nontrivial isogeny. As an application, we present a new proof…
Characterization of products of theta divisors
Zhi Jiang, Martí Lahoz, Sofia Tirabassi
We study products of irreducible theta divisors from two points of view. On the one hand, we characterize them as normal subvarieties of abelian varieties such that a desingulariza…
Syzygies, Pluricanonical Maps, and the Birational Geometry of Varieties of Maximal Albanese Dimension
Sofia Tirabassi
In this thesis we looked into three different problems which share, as a common factor, the exstensive use of the Fourier--Mukai transform as research tool. In the first Part we in…
Syzygies and equations of Kummer varieties
Sofia Tirabassi
We study property for Kummer varieties embedded by a power of an ample line bundle.
On the Iitaka fibration of varieties of maximal Albanese dimension
Zhi Jiang, Martí Lahoz, Sofia Tirabassi
We prove that the tetracanonical map of a variety of maximal Albanese dimension induces the Iitaka fibration. Moreover, if is of general type, then the tricanonical map is…
On the tetracanonical map of varieties of general type and maximal Albanese dimension
Sofia Tirabassi
We prove the birationality of the 4-canonical map of varieties of general type and maximal Albanese dimension
Derived Categories of Toric Fano 3-Folds via the Frobenius Morphism
Alessandro Bernardi, Sofia Tirabassi
In a work of Costa and Miró-Roig state the following conjecture: Every smooth complete toric Fano variety has a full strongly exceptional collection of line bundles. The goal of th…