Non rationalité stable sur les corps quelconques
From MaRDI portal
Publication:3297268
DOI10.1007/978-3-030-18638-8_2zbMath1442.14049arXiv1806.00606OpenAlexW2806280776MaRDI QIDQ3297268
Publication date: 3 July 2020
Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.00606
Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Rationality questions in algebraic geometry (14E08)
Related Items (2)
Une liste de problèmes ⋮ Rationality of complete intersections of two quadrics over nonclosed fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Galois descent on the second Chow group: development and applications
- Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber)
- Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
- On the rationality problem for quadric bundles
- Real components of algebraic varieties and étale cohomology
- An exact sequence for \(K^M_*/2\) with applications to quadratic forms
- Stably rational non rational varieties
- La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
- Variétés unirationelles non rationelles: Au-delà de l'exemple d'Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example)
- Stable rationality of quadric surface bundles over surfaces
- Torsion orders of complete intersections
- A finiteness theorem for the Chow group of zero-cycles of a linear algebraic group on a \(p\)-adic field
- Rationally connected varieties over local fields
- The index of an algebraic variety
- Unramified cohomology and the entire Hodge conjecture
- Permutation modules and Chow motives of geometrically rational surfaces
- Unirational threefolds with no universal codimension \(2\) cycle
- Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
- The birationality of cubic surfaces over a given field
- On the universal \(\mathrm{CH}_0\) group of cubic hypersurfaces
- Hypersurfaces that are not stably rational
- Hypersurfaces quartiques de dimension 3 : non-rationalité stable
- Remarks on Correspondences and Algebraic Cycles
- Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder
- Unramified elements in cycle modules
- La $R$-équivalence sur les tores
- Troisi\`eme groupe de cohomologie non ramifi\'ee des torseurs universels sur les surfaces rationnelles
- Varieties that are not stably rational, zero-cycles and unramified cohomology
- Stably irrational hypersurfaces of small slopes
- Central Simple Algebras and Galois Cohomology
- Cubic Fourfolds, K3 Surfaces, and Rationality Questions
- Universal Unramified Cohomology of Cubic Fourfolds Containing a Plane
- Remarks on approximate decompositions of the diagonal
- Some Elementary Examples of Unirational Varieties Which are Not Rational
This page was built for publication: Non rationalité stable sur les corps quelconques