On the topology of Fano smoothings

DOI10.1007/978-3-030-98327-7_6zbMath1502.14093arXiv1912.04383OpenAlexW2996284086MaRDI QIDQ2106288

Alessio Corti, Genival jun. Da Silva, Tom Coates

Publication date: 14 December 2022

Full work available at URL: https://arxiv.org/abs/1912.04383

zbMATH Keywords

mirror symmetryvanishing cyclesBetti numbersFano manifolds

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) Mirror symmetry (algebro-geometric aspects) (14J33)

Uses Software

• Magma
• polymake
• SageMath
• TOPCOM

Cites Work

• Quantum periods for 3-dimensional Fano manifolds
• Minkowski polynomials and mutations
• Triangulations. Structures for algorithms and applications
• Classification of reflexive polyhedra in three dimensions
• The versal deformation of an isolated toric Gorenstein singularity
• The Magma algebra system. I: The user language
• Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
• Intersection theory on toric varieties
• Mirror symmetry and the classification of orbifold del Pezzo surfaces
• Mirror Symmetry and Fano Manifolds
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