Toric complete intersections and weighted projective space.

DOI10.1016/S0393-0440(02)00124-9zbMath1061.14037arXivmath/0103214OpenAlexW2144329380MaRDI QIDQ1874079

David A. Sahakyan, Erwin Riegler, Maximilian Kreuzer

Publication date: 22 May 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0103214

zbMATH Keywords

toric varietiescomplete intersectionsCalabi-Yau manifoldsmirror symmetryHodge numbersstring and superstring theories

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Birationality and Landau-Ginzburg models, On the birationality of complete intersections associated to nef-partitions, \(\mathbb{P}^1 \)-bundle bases and the prevalence of non-higgsable structure in 4D F-theory models, Partial SUSY breaking for asymmetric Gepner models and non-geometric flux vacua, Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space, Calabi‐Yau Threefolds with Small Hodge Numbers, Global F-theory GUTs, Heterotic models from vector bundles on toric Calabi-Yau manifolds, Orbifold Riemann--Roch for threefolds with an application to Calabi--Yau geometry, Global SO(10) F-theory GUTs, PALP: a package for analysing lattice polytopes with applications to toric geometry, F-theory GUT vacua on compact Calabi-Yau fourfolds, Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape, Classification of toric Fano 5-folds, Global embeddings for branes at toric singularities, Hodge numbers for CICYs with symmetries of order divisible by 4, On the elliptic Calabi-Yau fourfold with maximal \(h^{1,1}\), Flow polytopes and the graph of reflexive polytopes, Strings on Calabi-Yau spaces and toric geometry

Uses Software

• PALP

Cites Work

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