The banks of the cohomology river

DOI10.1215/21562261-1966089zbMath1271.14021arXiv1109.4591OpenAlexW3104100073MaRDI QIDQ1950280

David Eisenbud, Frank-Olaf Schreyer

Publication date: 10 May 2013

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4591

zbMATH Keywords

Castelnuovo-Mumford regularitycohomology tableEisenbud-Schreyer theorylinear monadregularity of tensor productssheaves on projective spaces

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (4)

Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ Supernatural analogues of Beilinson monads ⋮ Questions about Boij-S\"oderberg theory ⋮ Tate resolutions for products of projective spaces

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Modules over unramified regular local rings
• Cohomology of coherent sheaves and series of supernatural bundles
• On a theorem of Castelnuovo, and the equations defining space curves
• Betti numbers of graded modules and cohomology of vector bundles
• On the CastelnuovoMumford regularity of products of ideal sheaves
• Bounds on the Castelnuovo-Mumford regularity of tensor products
• Sheaf cohomology and free resolutions over exterior algebras
• Resultants and Chow forms via exterior syzygies

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