Comparison isomorphisms for smooth formal schemes

DOI10.1017/S1474748012000643zbMath1281.14013arXiv1212.3813MaRDI QIDQ4899956

Adrian Iovita, Fabrizio Andreatta

Publication date: 10 January 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3813

zbMATH Keywords

étale cohomologycrystalline cohomology\(p\)-adic Hodge theory

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30) Formal neighborhoods in algebraic geometry (14B20)

Related Items

On the p-adic cohomology of the Lubin-Tate tower, An Introduction to p-Adic Hodge Theory, On some special types of Fontaine sheaves and their properties, A -adic monodromy theorem for de Rham local systems, The Tate conjecture for \(K3\) surfaces over finite fields, A prismatic approach to crystalline local systems, Galois actions on homotopy groups of algebraic varieties, Integral \(p\)-adic Hodge theory, Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden., Kato's Euler system, Crystalline comparison isomorphisms in \(p\)-adic Hodge theory: the absolutely unramified case, -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES, On ℓ-adic Pro-algebraic and Relative Pro-ℓ Fundamental Groups, Period sheaves via derived de Rham cohomology, Logarithmic Riemann–Hilbert correspondences for rigid varieties

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• On certain types of \(p\)-adic representations of the Galois group of a local field; construction of a Barsott-Tate ring.
• Cristalline representations in the case of an imperfect residue field
• F-isocrystals and de Rham cohomology. II: Convergent isocrystals
• \(p\)-adic étale cohomology
• \(p\)-adic periods of abelian varieties
• Cohomologie cristalline des schemas de caractéristique \(p >0\)
• \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
• Construction of semi-stable \(p\)-adic representations
• A few theorems on completion of excellent rings