On quasicoherent sheaves on toric schemes
Fred Rohrer
TL;DR
This paper explores the relationship between quasicoherent sheaves on toric schemes and graded modules over a coordinate ring, analyzing how various finiteness properties are preserved or transformed.
Contribution
It establishes a correspondence between quasicoherent sheaves on toric schemes and graded modules, and investigates the behavior of finiteness properties under this correspondence.
Findings
Established a correspondence between sheaves and graded modules.
Analyzed the preservation of finiteness properties.
Provided insights into the structure of quasicoherent sheaves on toric schemes.
Abstract
A correspondence between quasicoherent sheaves on toric schemes and graded modules over some homogeneous coordinate ring is presented, and the behaviour of several finiteness properties under this correspondence is investigated.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications