an:06845880
Zbl 06845880
Costa, L.; Marchesi, S.; Mir??-Roig, R. M.
A Horrocks' theorem for reflexive sheaves
EN
J. Algebra 499, 74-102 (2018).
00374459
2018
j
14F05 14J60
reflexive sheaves; cohomology
Summary: In this paper, we define \(m\)-tail reflexive sheaves as reflexive sheaves on projective spaces with the simplest possible cohomology. We prove that the rank of any \(m\)-tail reflexive sheaf \(\mathcal{E}\) on \(\mathbb{P}^n\) is greater or equal to \(n m - m\). We completely describe \(m\)-tail reflexive sheaves on \(\mathbb{P}^n\) of minimal rank and we construct huge families of \(m\)-tail reflexive sheaves of higher rank.