Syntomic cohomology and Beilinson’s Tate conjecture for 𝐾₂
DOI10.1090/S1056-3911-2012-00591-8zbMath1321.14014arXiv0904.3672OpenAlexW2963779955WikidataQ123238762 ScholiaQ123238762MaRDI QIDQ2841803
Masanori Asakura, Kanetomo Sato
Publication date: 30 July 2013
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.3672
(K)-theory and homology; cyclic homology and cohomology (19D55) Étale and other Grothendieck topologies and (co)homologies (14F20) Local ground fields in algebraic geometry (14G20) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Steinberg groups and (K_2) (19C99)
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Cites Work
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- A \(p\)-adic regulator map and finiteness results for arithmetic schemes
- A finiteness theorem for zero-cycles over \(p\)-adic fields
- \(K_2\)-cohomology and the second Chow group
- Surfaces over a \(p\)-adic field with infinite torsion in the Chow group of 0-cycles
- Torsion dans le groupe de Chow de codimension deux
- The Picard numbers of elliptic surfaces with many symmetries
- \(p\)-adic étale cohomology
- A note on p-adic étale cohomology
- Groupe de Chow de codimension deux des variétés définies sur un corps de nombres: Un théorème de finitude pour la torsion. (The codimension two Chow group of varieties defined over a number field: A finiteness theorem for the torsion)
- Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
- On the cycle map for torsion algebraic cycles of codimension two
- Cycles in a product of elliptic curves, and a group analogous to the class group
- Relations between \(K_2\) and Galois cohomology
- 0-cycles on the elliptic modular surface of level 4
- \(p\)-adic étale cohomology and crystalline cohomology in the semi-stable reduction case
- On indecomposable elements of \(K_1\) of a product of elliptic curves
- Selmer groups and torsion zero cycles on the selfproduct of a semistable elliptic curve
- On the image of \(p\)-adic regulators
- A finiteness theorem for the symmetric square of an elliptic curve
- La conjecture de Weil. I
- The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces
- Cycle classes for \(p\)-adic étale Tate twists and the image of \(p\)-adic regulators
- Algebraic cycles on products of elliptic curves over \(p\)-adic fields
- Surjectivity of \(p\)-adic regulators on \(K_2\) of Tate curves
- Algebraic De Rham cohomology
- Torsion zero-cycles on the self-product of a modular elliptic curve
- On the $p$ adic nearby cycles of log smooth families
- A Hasse principle for two dimensional global fields.
- The explicit reciprocity law and the cohomology of Fontaine-Messing
- Logarithmic structures of Fontaine-Illusie. II
- Integral elements of K-theory and products of modular curves II
- Algebraic \(K\)-theory.