Die de Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper

DOI10.1007/BF02684584zbMath0159.22404OpenAlexW2302199581MaRDI QIDQ2528088

Reinhardt Kiehl

Publication date: 1967

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1967__33__5_0

zbMATH Keywords

algebraic geometry

Related Items

Riemann's existence problem for a \(p\)-adic field, Periods and Gauss-Manin connection for families of p-adic Schottky groups, Néron models in the setting of formal and rigid geometry, Formal and rigid geometry. III: The relative maximum principle, Sur le théorème de comparaison entre cohomologie de De Rham algébrique et p-adique rigide. (On the comparison between the algebraic De Rham and the rigid p-adic cohomology), Frobenius and monodromy operators in rigid analysis, and Drinfel’d’s symmetric space, Mixed Weil cohomologies, A comparison theorem in p-adic cohomology, TOWARDS A NON-ARCHIMEDEAN ANALYTIC ANALOG OF THE BASS–QUILLEN CONJECTURE, Syntomic complexes and \(p\)-adic nearby cycles, Comparison theorems between algebraic and analytic de Rham cohomology (with emphasis on the \(p\)-adic case), Unnamed Item, Fortsetzbarkeit \(k\)-analytischer Mengen, 2-dimensional potentially trianguline representations, On logarithmic extension of overconvergent isocrystals, p-adic automorphic functions, Glatte Morphismen in der affinoiden Geometrie, Eine bemerkenswerte Eigenschaft der formellen Fasern affinoider Räume, Multiplikative Untergruppen in abeloiden Mannigfaltigkeiten, Vanishing and comparison theorems in rigid analytic geometry, Differentials of the second kind on Mumford curves, k-affinoide Gruppen, Convergence Polygons for Connections on Nonarchimedean Curves, LOGARITHMIC DE RHAM COMPARISON FOR OPEN RIGID SPACES, Unnamed Item, Unnamed Item, Der Satz von Remmert-Stein in der nichtarchimedischen Funktionentheorie, Finiteness of de Rham cohomology in rigid analysis., Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module différentiel. II: Cas des singularités régulières à plusieures variables. (Comparison between the algebraic cohomology and the rigid p-adic cohomology with coefficients in a differential module. II: Case of regular singularities with several variables), F-isocrystals and de Rham cohomology. II: Convergent isocrystals, Comparaison entre la cohomologie algébrique et la cohomologie p-adique rigide à coefficients dans un module différentiel. I: Cas des courbes. (Comparison between the algebraic cohomology and the p-adic rigid cohomology with coefficients in a differential module. I: Case of curves)

Cites Work

• Integrals of the second kind on an algebraic variety
• Über die Methode der diskret bewerteten Rigne in der nicht- archimedischen Analysis
• Differentialrechnung in der analytischen Geometrie
• Der Endlichkeitssatz für eigentliche Abbildungen in der nichtarchimedischen Funktionentheorie
• Theorem A und B in der nichtarchimedischen Funktionentheorie
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• THE CONSTRUCTION OF FORMAL COHOMOLOGY SHEAVES
• Die Norm der gleichmäßigen Konvergenz auf reduzierten affinoiden Algebren.
• Ausgezeichnete Ringe in der nichtarchimedischen analytischen Geometrie.
• On the De Rham cohomology of algebraic varieties