Cech cohomology of semiring schemes

JOURNAL OF ALGEBRA

卷:483

Article

Jun, Jaiung¹ 

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

关键词: Characteristic one;    Semiring scheme;    Cech cohomology;    Picard group;   

DOI  :  10.1016/j.jalgebra.2017.04.001

来源: Elsevier

【 摘 要 】

A semiring scheme generalizes a scheme in such a way that the underlying algebra is that of semirings. We generalize Cech cohomology theory and invertible sheaves to semiring schemes. In particular, when X = P-M(n), a projective space over a totally ordered idempotent semifield M, we show that Hm (X, Ox) is in agreement with the classical computation for all m. Finally, we classify all invertible sheaves on X = P-M(n) by computing Pic(X) explicitly. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free