Fabian Reede

activity

20162020

collaborators

6 papers

math.AG2020

The Fourier-Mukai transform of a universal family of stable vector bundles

Fabian Reede

In this note we prove that the Fourier-Mukai transform $Φ_{U}$ induced by the universal family of the moduli space $M_{P^{2}} (4, 1, 3)$ is not fully faithf…

math.AG2019

Rank one sheaves over quaternion algebras on Enriques surfaces

Fabian Reede

Let X be an Enriques surface over the field of complex numbers. We prove that there exists a nontrivial quaternion algebra A on X. Then we study the moduli scheme of torsion free A…

math.AG2019

A birational Torelli theorem with a Brauer class

Norbert Hoffmann, Fabian Reede

Let $M_{C} (2, O_{C}) ≅ P^{3}$ denote the coarse moduli space of semistable vector bundles of rank $2$ with trivial determinant over a smooth projective cur…

math.AG2019

The cubo-cubic transformation and K3 surfaces

Fabian Reede

In this note we observe that the Cremona transformation in Oguiso's example of Cremona isomorphic but not projectively equivalent quartic K3 surfaces in three-dimensional projectiv…

math.AG2019

Examples of smooth components of moduli spaces of stable sheaves

Fabian Reede, Ziyu Zhang

Let M be a projective fine moduli space of stable sheaves on a smooth projective variety X with a universal family E. We prove that in four examples, E can be realized as a complet…

math.AG2016

Torsion-free rank one sheaves over del Pezzo orders

Norbert Hoffmann, Fabian Reede

Let A be a del Pezzo order on the projective plane over the field of complex numbers. We prove that every torsion-free A-module of rank one can be deformed into a locally free A-mo…