Euler characteristic of coherent sheaves on simplicial torics via the Stanley–Reisner ring

DOI10.1063/1.3506404zbMath1314.14100arXiv1101.0353OpenAlexW3103690476MaRDI QIDQ5254849

Henry K. Schenck

Publication date: 10 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0353

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Riemann-Roch theorems (14C40) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

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• Local cohomology at monomial ideals
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• THE GEOMETRY OF TORIC VARIETIES
• Multigraded Castelnuovo-Mumford regularity
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• Cohomology of line bundles: A computational algorithm
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