18 citations · 37 across the 13 of their papers we have counts for
13 papers
Stability conditions supported on Lefschetz classes
Franco Giovenzana, Antonios-Alexandros Robotis, Franco Rota +1
Recently, C. Li constructed stability conditions on the derived categories of all smooth complex projective varieties. These stability conditions satisfy the support property of Ko…
On the mirrors of low-degree del Pezzo surfaces
Giulia Gugiatti, Franco Rota
We compare different constructions of mirrors of del Pezzo surfaces, focusing on degree . In particular, we extract Lefschetz fibrations, with associated exceptional coll…
The non-degeneracy invariant of Brandhorst and Shimada's families of Enriques surfaces
Riccardo Moschetti, Franco Rota, Luca Schaffler
Brandhorst and Shimada described a large class of Enriques surfaces, called -generic, for which they gave generators for the automorphism groups and calculated the…
Full exceptional collections for anticanonical log del Pezzo surfaces
Giulia Gugiatti, Franco Rota
Motivated by homological mirror symmetry, this paper constructs explicit full exceptional collections for the canonical stacks associated with the series of log del Pezzo surfaces…
A computational view on the non-degeneracy invariant for Enriques surfaces
Riccardo Moschetti, Franco Rota, Luca Schaffler
For an Enriques surface , the non-degeneracy invariant retains information on the elliptic fibrations of and its polarizations. In the current paper, we int…
Riemann-Roch coefficients for Kleinian orbisurfaces
Bronson Lim, Franco Rota
Suppose is a smooth, proper, and tame Deligne-Mumford stack. Toën's Grothendieck-Riemann-Roch theorem requires correction terms, involving components of the inertia s…
Orbifold Semiorthogonal Decompositions for Abelian Varieties
Bronson Lim, Franco Rota
Suppose is a finite group acting on an Abelian variety such that the coarse moduli space is smooth. Using the recent classification result due to Auffarth, Lucchini A…
A note on the Kuznetsov component of the Veronese double cone
Marin Petkovic, Franco Rota
This note describes moduli spaces of complexes in the derived category of a Veronese double cone . Focusing on objects with the same class as ideal sheaves of lines, we de…
Some Quot schemes in tilted hearts and moduli spaces of stable pairs
Franco Rota
For a smooth projective variety , we study analogs of Quot functors in hearts of non-standard -structures of . The technical framework is that of famili…
Characteristic classes and stability conditions for projective Kleinian orbisurfaces
Bronson Lim, Franco Rota
We construct Bridgeland stability conditions on the derived category of smooth quasi-projective Deligne-Mumford surfaces whose coarse moduli spaces have ADE singularities. This uni…
Moduli spaces on the Kuznetsov component of Fano threefolds of index 2
Matteo Altavilla, Marin Petkovic, Franco Rota
General hyperplane sections of a Fano threefold of index 2 and Picard rank 1 are del Pezzo surfaces, and their Picard group is related to a root system. To the corresponding ro…
The stability manifold of local orbifold elliptic quotients
Franco Rota
In this paper, we investigate the stability manifold of local models of orbifold quotients of elliptic curves. In particular, we describe a component of the stability manifold whic…
An example of Berglund-Hübsch mirror symmetry for a Calabi-Yau complete intersection
Stefano Filipazzi, Franco Rota
We study an example of complete intersection Calabi-Yau threefold due to Libgober and Teitelbaum arXiv:alg-geom/9301001, and verify mirror symmetry at a cohomological level. Direct…