\(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
From MaRDI portal
Publication:1298103
DOI10.1007/s002220050330zbMath0945.14008OpenAlexW2019544197WikidataQ105583723 ScholiaQ105583723MaRDI QIDQ1298103
Publication date: 29 September 1999
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220050330
Étale and other Grothendieck topologies and (co)homologies (14F20) (p)-adic cohomology, crystalline cohomology (14F30)
Related Items (only showing first 100 items - show all)
Factorisation de la cohomologie étale p-adique de la tour de Drinfeld ⋮ A \(p\)-adic arithmetic inner product formula ⋮ PD Higgs crystals and Higgs cohomology in characteristic $p$ ⋮ $p$-adic periods and derived de Rham cohomology ⋮ A Short Review on Local Shtukas and Divisible Local Anderson Modules ⋮ An Introduction to p-Adic Hodge Theory ⋮ A -adic monodromy theorem for de Rham local systems ⋮ The Picard-Lefschetz formula for \(p\)-adic cohomology ⋮ Heegner cycles and higher weight specializations of big Heegner points ⋮ Breuil–Kisin modules via crystalline cohomology ⋮ The radius of convergence of the \(p\)-adic sigma function ⋮ Cristalline representations in the case of an imperfect residue field ⋮ Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces ⋮ Twisted derived equivalences and isogenies between \(K3\) surfaces in positive characteristic ⋮ Topological Hochschild homology and integral \(p\)-adic Hodge theory ⋮ Breuil-Kisin modules and integral \(p\)-adic Hodge theory (with Appendix A by Yoshiyasu Ozeki, and Appendix B by Hui Gao and Tong Liu) ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ Algebraic geometry in mixed characteristic ⋮ A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology ⋮ A prismatic approach to crystalline local systems ⋮ Local shtukas, Hodge-Pink structures and Galois representations ⋮ Some bounds for ramification of \(p^n\)-torsion semi-stable representations ⋮ Purity for Hodge-Tate representations ⋮ \(K\)-theory of log-schemes. II: Log-syntomic \(K\)-theory ⋮ A generalization of a theorem of Imai and its applications to Iwasawa theory ⋮ Notes on the $$\mathbb A_{{\mathrm {inf}}}$$-Cohomology of Integral p-Adic Hodge Theory ⋮ On the Cohomology of the Affine Space ⋮ Crystalline $$\mathbb {Z}_p$$-Representations and $$A_{\inf }$$-Representations with Frobenius ⋮ Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad ⋮ Exponents of the \(p\)-adic monodromy and Frobenius structure for differential equations. ⋮ Morphisms of periods and syntomic cohomology ⋮ Galois representations arising from some compact Shimura varieties ⋮ Derivatives of \(p\)-adic \(L\)-functions, Heegner cycles and monodromy modules attached to modular forms ⋮ Rational points over finite fields for regular models of algebraic varieties of Hodge type \(\geq 1\) ⋮ On the $p$ adic nearby cycles of log smooth families ⋮ Arithmetic diagonal cycles on unitary Shimura varieties ⋮ \(p\)-adic Hodge theory for open varieties ⋮ Integral \(p\)-adic Hodge theory ⋮ \(\mathbb Q\)-motives and modular forms ⋮ On uniqueness ofp-adic period morphisms, II ⋮ The de Rham-Witt complex and 𝑝-adic vanishing cycles ⋮ On flagged framed deformation problems of local crystalline Galois representations ⋮ \(p\)-torsion étale cohomology and crystalline cohomology in semi-stable reduction ⋮ Comparison isomorphisms for smooth formal schemes ⋮ Semistable conjecture via \(K\)-theory ⋮ On syntomic complexes with modulus for semi-stable reduction cases ⋮ Heegner cycles and \(p\)-adic \(L\)-functions ⋮ Notes on the local \(p\)-adic Simpson correspondence ⋮ The Tamagawa number conjecture of adjoint motives of modular forms ⋮ On the \(p\)-adic local invariant cycle theorem ⋮ Syntomic complexes and \(p\)-adic nearby cycles ⋮ Serre's tame inertia conjecture ⋮ On the injectivity of Frobenius on $p$-adic period rings ⋮ DENSITY OF CRYSTALLINE POINTS ON UNITARY SHIMURA VARIETIES ⋮ Trivial zeros of -adic -functions at near-central points ⋮ On the structure of Milnor \(K\)-groups of certain complete discrete valuation fields ⋮ Product formulas for periods of CM abelian varieties and the function field analog ⋮ \(p\)-adic properties of motivic fundamental lines ⋮ Weight-monodromy conjecture for \(p\)-adically uniformized varieties ⋮ p-adic étale Tate twists and arithmetic duality☆ ⋮ Weights in arithmetic geometry ⋮ The theory of Coleman power series for 𝐾₂ ⋮ On 𝑝-adic intermediate Jacobians ⋮ Fontaine's programm ⋮ A geometric construction of semistable extensions of crystalline representations ⋮ The -cohomology in the semistable case ⋮ On the $p$-adic cohomology of some $p$-adically uniformized varieties ⋮ A monodromy criterion for the good reduction of \(K3\) surfaces ⋮ Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary ⋮ Étale cohomology of arithmetic schemes and zeta values of arithmetic surfaces ⋮ Degeneration of Kummer surfaces ⋮ Cohomology of \(p\)-adic Stein spaces ⋮ Towards non–abelian 𝑝–adic Hodge theory in the good reduction case ⋮ Cohomologie 𝑝-adique de la tour de Drinfeld: le cas de la dimension 1 ⋮ Représentations semi-stables de torsion dans le cas er < p − 1 ⋮ On a torsion analogue of the weight-monodromy conjecture ⋮ A dictionary between Fontaine-theory and its analogue in equal characteristic ⋮ Hilbert modular forms and p-adic Hodge theory ⋮ Chow motives without projectivity ⋮ Comparaison entre cohomologie cristalline et cohomologie étale $p$-adique sur certaines variétés de Shimura ⋮ CM liftings of surfaces over finite fields and their applications to the Tate conjecture ⋮ A new approach to de Rham-Witt complexes, after Bhatt, Lurie, and Mathew ⋮ Syntomic cohomology and Beilinson’s Tate conjecture for 𝐾₂ ⋮ Abel-Jacobi mappings and finiteness of motivic cohomology groups ⋮ Torsion of abelian varieties and Lubin-Tate extensions ⋮ On \(p\)-adic vanishing cycles of log smooth families ⋮ Compatibility of local and global Langlands correspondences ⋮ \(p\)-adic Tate conjectures and abeloid varieties ⋮ Syntomic cohomology of \(F\)--\(T\) crystals ⋮ Faltings extension and Hodge-Tate filtration for abelian varieties over p-adic local fields with imperfect residue fields ⋮ Smoothing toroidal crossing spaces ⋮ On good reduction of some K3 surfaces related to abelian surfaces ⋮ On the Beilinson fiber square ⋮ Logarithmic Hodge-Witt forms and Hyodo-Kato cohomology. ⋮ The Syntomic Regulator for K2 of Curves with Arbitrary Reduction ⋮ Toric Regulators ⋮ Syntomic complexes and p-adic étale Tate twists ⋮ Logarithmic Riemann–Hilbert correspondences for rigid varieties ⋮ Hodge theory of $p$-adic varieties: a survey ⋮ Around the Poincaré lemma, after Beilinson
This page was built for publication: \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
