This article is cited in 2 papers

Stable birational invariants with Galois descent and differential forms

M. Rovinsky<sup>ab

a</sup> National Research University Higher School of Economics, Laboratory of Algebraic Geometry, 7 Vavilova str., Moscow 117312, Russia
^b Institute for Information Transmission Problems of Russian Academy of Sciences

Abstract: I show that the cohomology of the generic points of algebraic complex varieties becomes stable birational invariant, when considered ‘modulo the cohomology of the generic points of the affine spaces’.

Key words and phrases: dominant topology, smooth representations of automorphism groups of fields, de Rham cohomology.

MSC: 14F40, 14E99, 14C15, 18F20

Received: May 15, 2015; in revised form September 26, 2015

Language: English

DOI: 10.17323/1609-4514-2015-15-4-777-803

Bibliographic databases:

• 
•