Bloch’s cycle complex and coherent dualizing complexes in positive characteristic

DOI10.1090/btran/119arXiv2104.09662MaRDI QIDQ6115059

No author found.

Publication date: 12 July 2023

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09662

Mathematics Subject Classification ID

Local cohomology and algebraic geometry (14B15) Algebraic cycles (14C25) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher direct images of the structure sheaf in positive characteristic
• Rational points over finite fields for regular models of algebraic varieties of Hodge type \(\geq 1\)
• Comparison of dualizing complexes
• Duality via cycle complexes
• Motivic cohomology over Dedekind rings
• La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
• Les suites spectrales associées au complexe de De Rham-Witt
• Application d'Abel-Jacobi p-adique et cycles algébriques. (p-adic Abel- Jacobi map and algebraic cycles)
• Torsion dans le groupe de Chow de codimension deux
• On the multiplicative properties of the de Rham-Witt complex. I
• Algebraic cycles and higher K-theory
• \(p\)-adic étale cohomology
• Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
• Chow groups with coefficients
• Grothendieck duality and base change
• Frobenius splitting methods in geometry and representation theory
• A note on Gersten's conjecture for logarithmic Hodge-Witt sheaves
• Hodge-Witt cohomology and Witt-rational singularities
• The \(K\)-theory of fields in characteristic \(p\)
• The big de Rham-Witt complex
• Étale duality for constructible sheaves on arithmetic schemes
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Milnor 𝐾-theory of local rings with finite residue fields
• A Hasse principle for two dimensional global fields.
• Complexe de de\thinspace Rham-Witt et cohomologie cristalline
• DE RHAMWITT COHOMOLOGY FOR A PROPER AND SMOOTH MORPHISM
• Etale Cohomology Theory
• K-theory and logarithmic Hodge-Witt sheaves of formal schemes in characteristic p