A Horrocks' theorem for reflexive sheaves

JOURNAL OF ALGEBRA

卷:499

Article

Costa, L.¹  Marchesi, S.²  Miro-Roig, R. M.¹ 

[1] Fac Matemat & Informat, Dept Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, Spain

[2] Univ Estadual Campinas, Inst Matemat Estat & Computacao Cient, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP, Brazil

关键词: Reflexive sheaves;    Cohomology;   

DOI  :  10.1016/j.jalgebra.2017.11.031

来源: Elsevier

【 摘 要 】

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 epsilon on P-n is greater or equal to nm-m. We completely describe m-tail reflexive sheaves on P-n of minimal rank and we construct huge families of m-tail reflexive sheaves of higher rank. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free