pith. sign in

arxiv: 1003.5217 · v3 · pith:QUNAM2ZVnew · submitted 2010-03-26 · ✦ hep-th · math.AG

Cohomology of Line Bundles: A Computational Algorithm

classification ✦ hep-th math.AG
keywords algorithmbundlescohomologycomputinglinetoricvarietiesadditional
0
0 comments X
read the original abstract

We present an algorithm for computing line bundle valued cohomology classes over toric varieties. This is the basic starting point for computing massless modes in both heterotic and Type IIB/F-theory compactifications, where the manifolds of interest are complete intersections of hypersurfaces in toric varieties supporting additional vector bundles.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Assisted Fibre Inflation in Perturbative LVS

    hep-th 2025-06 unverdicted novelty 4.0

    Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).

  2. Thermal effects and finite-temperature cosmology in perturbatively stabilized large volume scenarios

    hep-th 2026-05 unverdicted novelty 3.0

    Examines thermal effects on moduli in perturbatively stabilized LVS, deriving T_max dependence on loop corrections and showing thermal metastability is sensitive to post-inflationary history while favoring high-scale ...