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Computational Tools for Cohomology of Toric Varieties

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

In this review, novel non-standard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination of the dimension of line-bundle valued cohomology groups on toric varieties. Applications to the computation of chiral massless matter spectra in string compactifications are discussed and, using the software package cohomCalg, its utility is highlighted on a new target space dual pair of (0,2) heterotic string models.

fields

hep-th 3

years

2026 2 2025 1

verdicts

UNVERDICTED 3

representative citing papers

On Calabi-Yau Threefolds For Unified LVS Inflation

hep-th · 2026-06-09 · unverdicted · novelty 6.0

A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.

Assisted Fibre Inflation in Perturbative LVS

hep-th · 2025-06-27 · 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).

citing papers explorer

Showing 3 of 3 citing papers.

  • On Calabi-Yau Threefolds For Unified LVS Inflation hep-th · 2026-06-09 · unverdicted · none · ref 31 · internal anchor

    A database scan identifies 2+14+45 Calabi-Yau threefolds with specified fibration and divisor structures that unify three LVS Kähler moduli inflation models.

  • Assisted Fibre Inflation in Perturbative LVS hep-th · 2025-06-27 · unverdicted · none · ref 103 · internal anchor

    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).

  • Thermal effects and finite-temperature cosmology in perturbatively stabilized large volume scenarios hep-th · 2026-05-21 · unverdicted · none · ref 41 · internal anchor

    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 inflation.