6 papers · 1 filter
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 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…
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…
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…