Twisted derived equivalences and isogenies between \(K3\) surfaces in positive characteristic

DOI10.2140/ant.2023.17.1069zbMath1523.14067arXiv2102.01193OpenAlexW4375947497MaRDI QIDQ6042345

Daniel Bragg, Ziquan Yang

Publication date: 10 May 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01193

zbMATH Keywords

derived categoriesgood reduction\(K3\) surfacesisogeniestwisted sheaves

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Arithmetic algebraic geometry (Diophantine geometry) (11G99) Modular and Shimura varieties (14G35) Isogeny (14K02) Positive characteristic ground fields in algebraic geometry (14G17) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• The Tate conjecture for \(K3\) surfaces in odd characteristic
• F-isocrystals and De Rham cohomology. I
• Torsion dans le groupe de Chow de codimension deux
• Tate's conjecture for \(K3\) surfaces of finite height
• Some results on unirationality of algebraic surfaces
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Semi-stable \(p\)-adic representations and Griffiths' transversality
• Integral \(p\)-adic Hodge theory
• Ordinary K3 surfaces over a finite field
• A motivic global Torelli theorem for isogenous \(K3\) surfaces
• Picard ranks of \(K3\) surfaces over function fields and the Hecke orbit conjecture
• Derived equivalences of twisted supersingular \(K3\) surfaces
• Every rational Hodge isometry between two K3 surfaces is algebraic
• Motives of isogenous \(K3\) surfaces
• Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic
• A note on the cone conjecture for \(K3\) surfaces in positive characteristic
• Equivalences of twisted K3 surfaces
• Good reduction criterion for \(K3\) surfaces
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Stratifications in good reductions of Shimura varieties of abelian type
• On irreducible symplectic varieties of \(\operatorname{K3}^{[n}\)-type in positive characteristic]
• Fourier-Mukai partners of K3 surfaces in positive characteristic
• Lectures on Supersingular K3 Surfaces and the Crystalline Torelli Theorem
• K3 surfaces, entropy and glue
• On the Chow Groups of Supersingular Varieties
• Integral models for Shimura varieties of abelian type
• Lectures on K3 Surfaces
• Orthogonale Gruppen Uber Lokalen Ringen
• Moduli of complexes on a proper morphism
• Supersingular $K3$ surfaces
• Notes on Crystalline Cohomology. (MN-21)
• Integral crystalline cohomology over very ramified valuation rings
• Breuil–Kisin modules via crystalline cohomology
• Isogenies Between K3 Surfaces Over
• Two Fundamental Theorems on Deformations of Polarized Varieties
• Integral canonical models for Spin Shimura varieties
• Good Reduction of K3 Surfaces
• Autoequivalences of twisted K3 surfaces
• Crystalline representations and F-crystals
• On lattices in semi-stable representations: a proof of a conjecture of Breuil
• Finiteness of K3 surfaces and the Tate conjecture
• Lifts of Twisted K3 Surfaces to Characteristic 0

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