Publication: Cohomological patterns of coherent sheaves over projective schemes
Cohomological patterns of coherent sheaves over projective schemes
Date
Date
Date
Citations
Brodmann, M., & Hellus, M. (2002). Cohomological patterns of coherent sheaves over projective schemes. Journal of Pure and Applied Algebra, 172(2–3), 165–182. https://doi.org/10.1016/S0022-4049(01)00144-X
Abstract
Abstract
Abstract
We study the sets P(X, ℱ) = (i,n) ∈ ℕ0 × ℤ Hi(X, ℱ(n)) ≠0}, where X is a projective scheme over a noetherian ring R0 and where ℱ is a coherent sheaf of OX-modules. In particular we show that P(X, ℱ) is a so called tame combinatorial pattern if the base ring R0 is semilocal and of dimension ≤ 1. If X = ℙR0d is a projective space over such a base ring R0, the possible sets P(X, ℱ) are shown to be precisely all tame combinatorial patterns of width ≤ d. We also discuss the "tameness problem" for arbitrary noetherian base rings R0 and prov
Metrics
Downloads
Views
Additional indexing
Creators (Authors)
- Brodmann, Markus
- Hellus, Michael
Volume
Volume
Volume
Number
Number
Number
Page range/Item number
Page range/Item number
Page range/Item number
Page end
Page end
Page end
Item Type
Item Type
Item Type
In collections
Keywords
Language
Language
Language
Publication date
Publication date
Publication date
Date available
Date available
Date available
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
OA Status
OA Status
OA Status
Publisher DOI
Metrics
Downloads
Views
Citations
Brodmann, M., & Hellus, M. (2002). Cohomological patterns of coherent sheaves over projective schemes. Journal of Pure and Applied Algebra, 172(2–3), 165–182. https://doi.org/10.1016/S0022-4049(01)00144-X
