Cohomology of toric line bundles via simplicial Alexander duality

DOI10.1063/1.3562523zbMath1315.55010arXiv1006.0780OpenAlexW2009702882MaRDI QIDQ5260964

Shin-Yao Jow

Publication date: 30 June 2015

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

Full work available at URL: https://arxiv.org/abs/1006.0780

Mathematics Subject Classification ID

Related Items (13)

Čech cohomology over \(\mathbb{F}_{1^2}\) ⋮ A global \(\mathrm{SU}(5)\) F-theory model with Wilson line breaking ⋮ Strongly coupled phases of \( \mathcal{N}=1 \) S-duality ⋮ Planckian axions in string theory ⋮ Formulae for Line Bundle Cohomology on Calabi‐Yau Threefolds ⋮ Gauge backgrounds and zero-mode counting in F-theory ⋮ Landscape study of target space duality of (0, 2) heterotic string models ⋮ Computational tools for cohomology of toric varieties ⋮ Cohomology of line bundles: Applications ⋮ Geodesics in the extended Kähler cone of Calabi-Yau threefolds ⋮ Cohomology of line bundles: Proof of the algorithm ⋮ Cohomology of line bundles: A computational algorithm ⋮ Euler characteristic of coherent sheaves on simplicial torics via the Stanley–Reisner ring

Cites Work

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• Note: Combinatorial Alexander duality -- a short and elementary proof
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Differential operators on toric varieties
• Cohomology and toric varieties and local cohomology with monomial supports
• The Alexander duality functors and local duality with monomial support
• Nerves of simplicial complexes
• Introduction to Toric Varieties. (AM-131)
• Multigraded Castelnuovo-Mumford regularity
• Cohomology of line bundles: Proof of the algorithm
• Cohomology of line bundles: A computational algorithm

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