Sofia Tirabassi
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Erratum to “A footnote to a theorem of Kawamata” Open
We give an alternative proof of Theorem A in the paper: Mendes Lopes, Pardini, Tirabassi, A footnote to a theorem of Kawamata. We also explain how to fill a gap in the original proof.
A footnote to a theorem of Kawamata Open
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 show that under these hypotheses the quasi‐Albanese map i…
Cohomological rank functions and syzygies of projective bundles on abelian varieties Open
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 generalize and refine Chiantipalli's results regarding property…
Effective characterization of quasi-abelian surfaces Open
Let V be a smooth quasi-projective complex surface such that the first three logarithmic plurigenera $\overline P_1(V)$ , $\overline P_2(V)$ and $\overline P_3(V)$ are equal to 1 and the logarithmic irregularity $\overline q(V)$ is equal t…
A footnote to a theorem of Kawamata Open
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 show that under these hypotheses the quasi-Albanese map is…
Effective characterization of quasi-abelian surfaces Open
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 the quasi-Albanese morphism of V is birational and there exis…
On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi) Open
We provide explicit generators of the torsion of the second cohomology of bielliptic surfaces, and we use this to study the pullback map between the Brauer group of a bielliptic surface and that of its canonical cover.
Counting Twisted Tame Fourier-Mukai Partners of an Ordinary K3 Surface Open
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 and we give a counting formula in case we have an ordinary ta…
View article: Fourier–Mukai partners of Enriques and bielliptic surfaces in positive characteristic
Fourier–Mukai partners of Enriques and bielliptic surfaces in positive characteristic Open
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) has no non-trivial Fourier-Mukai partners.
ON ORDINARY ENRIQUES SURFACES IN POSITIVE CHARACTERISTIC Open
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.
Theta-regularity and log-canonical threshold Open
We show that an inequality, proven by Küronya-Pintye, which governs the behavior of the log-canonical threshold of an ideal over $\mathbb {P}^n$ and that of its Castelnuovo-Mumford regularity, can be applied to the setting of principally p…
On the Brauer Group of Bielliptic Surfaces (with an Appendix by Jonas Bergstr\"om and Sofia Tirabassi) Open
We provide explicit generators of the torsion of the second cohomology of bielliptic surfaces, and we use this to study the pullback map between the Brauer group of a bielliptic surface and that of its canonical cover.
On the Brauer group of bielliptic surfaces Open
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 and that of its canonical cover.
Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic Open
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 sheaves. We apply this fact to show that the Fourier--Mukai set…
Semiorthogonal Decompositions on Enriques Surfaces and Derived Torelli Theorem Open
We show that the general Enriques surface can be recovered from the Kuznetsov component of its bounded derived category of coherent sheaves.
A note on the derived category of Enriques surfaces in characteristic 2 Open
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\n surfaces in positive characteristic Open
We prove that any Fourier--Mukai partner of an abelian surface over an\nalgebraically closed field of positive characteristic is isomorphic to a moduli\nspace of Gieseker-stable sheaves. We apply this fact to show that the\nFourier--Mukai …