Crystalline aspects of geography of low dimensional varieties. I: Numerology

DOI10.1007/s40879-020-00416-xzbMath1506.14041arXiv1403.6402OpenAlexW3048051308MaRDI QIDQ2663775

Kirti Joshi

Publication date: 20 April 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6402

zbMATH Keywords

algebraic surfacesCalabi-Yau varietieshypersurfacescrystalline cohomologyprojective surfacesde Rham-Witt complexBogomolov-Miyaoka-Yau inequalityquintic threefoldsFrobenius split varietiesChern number inequalitiesdomino numbersHodge-Witt numbers

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) (3)-folds (14J30) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Surfaces of general type (14J29) (p)-adic cohomology, crystalline cohomology (14F30) Hypersurfaces and algebraic geometry (14J70) Special surfaces (14J25) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (5)

Crystals of relative displays and Calabi-Yau threefolds ⋮ Quasi-Frobenius splitting and lifting of Calabi-Yau varieties in characteristic \(p\) ⋮ On the BMY inequality on surfaces ⋮ Hodge numbers are not derived invariants in positive characteristic ⋮ On the \(\mu\)-invariants of abelian varieties over function fields of positive characteristic

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