31 citations · 69 across the 18 of their papers we have counts for
20 papers
Hypertetrahedral arrangements
Liena Colarte, Laura Costa, Simone Marchesi +2
In this paper, we introduce the notion of a complete hypertetrahedral arrangement in . We address two basic problems. First, we describe the local fre…
Theta divisors and Ulrich bundles on Geometrically ruled surfaces
M. Aprodu, G. Casnati, L. Costa +2
We consider the following question: for which invariants and is there a geometrically ruled surface over a curve of genus with invariant such…
A Horrocks' theorem for reflexive sheaves
Laura Costa, Simone Marchesi, Rosa Maria Miró-Roig
In this paper, we define -tail reflexive sheaves as reflexive sheaves on projective spaces with the simplest possible cohomology. We prove that the rank of any -tail reflexiv…
Ulrich bundles on ruled surfaces
Marian Aprodu, Laura Costa, Rosa Maria Miro-Roig
In this short note, we study the existence problem for Ulrich bundles on ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line…
Rank-two vector bundles on non-minimal ruled surfaces
Marian Aprodu, Laura Costa, Rosa Maria Miro-Roig
We continue previous works by various authors and study the birational geometry of moduli spaces of stable rank-two vector bundles on surfaces with Kodaira dimension . To…
Ulrich Schur bundles on flag varieties
Izzet Coskun, Laura Costa, Jack Huizenga +2
In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admi…