Fabian Reede

activity

20162025

collaborators

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9 papers · 1 filter

math.AG2025

Moduli spaces of generalised tautological bundles on Hilbert schemes

Andreas Krug, Fabian Reede, Ziyu Zhang

We construct new stable vector bundles on Hilbert schemes of points on algebraic surfaces, which are parametrised by connected components of their moduli spaces. This work generali…

math.AG2024

A smooth but non-symplectic moduli of sheaves on a hyperkähler variety

Andreas Krug, Fabian Reede, Ziyu Zhang

For an abelian surface $A$ , we consider stable vector bundles on a generalized Kummer variety $K_{n} (A)$ with $n > 1$ . We prove that the connected component of the moduli space which c…

math.AG2024

Enriques surfaces with trivial Brauer map and involutions on hyperkähler manifolds

Fabian Reede

Let $X$ be an Enriques surface. Using Beauville's result about the triviality of the Brauer map of $X$ , we define a new involution on the category of coherent sheaves on the canoni…

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…