A finiteness theorem for zero-cycles over p-adic fields
By S. Saito, Kanetomo Sato. 2006
82 citations recorded by the source corpus.
Let R be a henselian discrete valuation ring. Let X be a regular projective flat scheme over Spec(R) with generalized semistable reduction. We prove a bijectivity theorem for etale cycle class maps of the Chow group of 1-cycles on X. As an application, we prove a finiteness theorem for the Chow group of 0-cycles on a projective smooth variety over a p-adic field.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ae4f249da5a231a1ee42e991afbfc51aab68a631
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Geometry and Topology
- D. Huybrechts
- Wiesława Nizioł
- Pierre Colmez
- E. Markman
- Kieran G. O’Grady
- P. Stellari
- Emanuele Macrì
- Keiji Oguiso
In Mathematical Physics
- D. Huybrechts
- Wiesława Nizioł
- Pierre Colmez
- P. Stellari
- Emanuele Macrì
- E. Markman
- Keiji Oguiso
- Ulrike Riess
Citations in the corpus
- Syntomic complexes and p-adic nearby cycles (2015, methodology): “This was used to study algebraic cycles in mixed characteristic [54], geometric class field theory [41], Beilinson’s Tate conjecture [5], variational Hodge conjecture [11], p-adic regulators and special values of p-adic L-functions [58].”
- The index of an algebraic variety (2012, unknown): “Our next proposition generalizes [50], Proposition 7.”
- Lectures on K3 Surfaces (2016, background): “The `-divisibility for almost all ` was shown by Saito and Sato in [516], see also [122].”