4 papers · 1 filter
On the local cohomology of secant varieties
Sebastian Olano, Debaditya Raychaudhury
Given a sufficiently positive embedding of a smooth projective variety , we consider its secant variety that comes equipped with the embedding $Σ\subs…
Non-existence of low rank Ulrich bundles on Veronese varieties
Angelo Felice Lopez, Debaditya Raychaudhury
We show that Veronese varieties of dimension do not carry any Ulrich bundles of rank . In order to prove this, we prove that a Veronese embedding of a complete i…
Ulrich subvarieties and the non-existence of low rank Ulrich bundles on complete intersections
Angelo Felice Lopez, Debaditya Raychaudhury
We characterize the existence of an Ulrich vector bundle on a variety in terms of the existence of a subvariety satisfying some precise conditions. Then we use this…
On partially ample Ulrich bundles
Angelo Felice Lopez, Debaditya Raychaudhury
We characterize -ample Ulrich bundles on a variety with respect to -dimensional linear spaces contained in .