On any smooth $n$-dimensional variety we give a pretty precise picture of rank $r$ Ulrich vector bundles with numerical dimension at most $\frac{n}{2}+r-1$. Also, we classify non-big Ulrich vector bundles on quadrics and on the Del Pezzo fourfold of degree $6$.Comment: The previous version of arXiv:2201.06019 has been split into two papers. This version supersedes the first part, the second part will appear soon. v3: a few small improvements, as suggested by anonymous refere
ABSTRACT. We prove that any abelian surface admits a rank 2 Ulrich bundle. Let X ⊂ PN be a projectiv...
In this paper, we give necessary and sufficient conditions for the existence of Ulrich bundles on cu...
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we ...
On any smooth $n$-dimensional variety we give a pretty precise picture of rank $r$ Ulrich vector bun...
We study geometrical properties of an Ulrich vector bundle $E$ of rank $r$ on a smooth $n$-dimension...
The purpose of this article is to serve as an introduction to Ulrich bundles for interested readers...
We completely characterize the bigraded resolutions of Ulrich bundles of arbitrary rank on the Segre...
We investigate the existence of Ulrich vector bundles on suitable 3-fold scrolls Xe over Hirzebruch ...
We prove that for any r > 1 the moduli space of stable Ulrich bundles of rank r and determinant O...
[eng] The subject of this thesis lies at the junction of mainly three topics: construction of large ...
In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of t...
We prove that on Xn, the plane blown–up at n general points, there are Ulrich line bundles with res...
Let S be a regular surface endowed with a very ample line bundle OS(hS). Taking inspiration from a v...
The aim of this note is to exhibit explicit sufficient cohomological criteria ensuring bigness of gl...
In this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, f...
ABSTRACT. We prove that any abelian surface admits a rank 2 Ulrich bundle. Let X ⊂ PN be a projectiv...
In this paper, we give necessary and sufficient conditions for the existence of Ulrich bundles on cu...
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we ...
On any smooth $n$-dimensional variety we give a pretty precise picture of rank $r$ Ulrich vector bun...
We study geometrical properties of an Ulrich vector bundle $E$ of rank $r$ on a smooth $n$-dimension...
The purpose of this article is to serve as an introduction to Ulrich bundles for interested readers...
We completely characterize the bigraded resolutions of Ulrich bundles of arbitrary rank on the Segre...
We investigate the existence of Ulrich vector bundles on suitable 3-fold scrolls Xe over Hirzebruch ...
We prove that for any r > 1 the moduli space of stable Ulrich bundles of rank r and determinant O...
[eng] The subject of this thesis lies at the junction of mainly three topics: construction of large ...
In this paper, we investigate the existence of Ulrich bundles on a smooth complete intersection of t...
We prove that on Xn, the plane blown–up at n general points, there are Ulrich line bundles with res...
Let S be a regular surface endowed with a very ample line bundle OS(hS). Taking inspiration from a v...
The aim of this note is to exhibit explicit sufficient cohomological criteria ensuring bigness of gl...
In this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, f...
ABSTRACT. We prove that any abelian surface admits a rank 2 Ulrich bundle. Let X ⊂ PN be a projectiv...
In this paper, we give necessary and sufficient conditions for the existence of Ulrich bundles on cu...
We study del Pezzo varieties, higher-dimensional analogues of del Pezzo surfaces. In particular, we ...