On the Euler characteristic of a relative hypersurface

DOI10.1063/1.5030475zbMath1439.81080arXiv1603.03553OpenAlexW2963881966MaRDI QIDQ5379493

Martin Helmer, James Fullwood

Publication date: 12 June 2019

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

Full work available at URL: https://arxiv.org/abs/1603.03553

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Fibrations, degenerations in algebraic geometry (14D06) Projective techniques in algebraic geometry (14N05)

Uses Software

• Macaulay2
• CharacteristicClasses

Cites Work

• New orientifold weak coupling limits in F-theory
• Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties
• \(D_5\) elliptic fibrations: non-Kodaira fibers and new orientifold limits of F-theory
• Chern classes for singular algebraic varieties
• Constraints on low-dimensional string compactifications
• Computing characteristic classes and the topological Euler characteristic of complex projective schemes
• On generalized Sethi-Vafa-Witten formulas
• Naive motivic Donaldson--Thomas type Hirzebruch classes and some problems
• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
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