Stably irrational hypersurfaces of small slopes

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Stefan Schreieder

Externe Organisationen

  • Ludwig-Maximilians-Universität München (LMU)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)1171-1199
Seitenumfang29
FachzeitschriftJournal of the American Mathematical Society
Jahrgang32
Ausgabenummer4
PublikationsstatusVeröffentlicht - 1 Aug. 2019
Extern publiziertJa

Abstract

Let k be an uncountable field of characteristic different from two. We show that a very general hypersurface X ⊂ Pk N+1 of dimension N ≥ 3 and degree at least log2N + 2 is not stably rational over the algebraic closure of k.

ASJC Scopus Sachgebiete

Zitieren

Stably irrational hypersurfaces of small slopes. / Schreieder, Stefan.
in: Journal of the American Mathematical Society, Jahrgang 32, Nr. 4, 01.08.2019, S. 1171-1199.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Schreieder S. Stably irrational hypersurfaces of small slopes. Journal of the American Mathematical Society. 2019 Aug 1;32(4):1171-1199. doi: 10.1090/jams/928
Schreieder, Stefan. / Stably irrational hypersurfaces of small slopes. in: Journal of the American Mathematical Society. 2019 ; Jahrgang 32, Nr. 4. S. 1171-1199.
Download
@article{6c869cc9b95240c5ac283c0f6e151a2f,
title = "Stably irrational hypersurfaces of small slopes",
abstract = "Let k be an uncountable field of characteristic different from two. We show that a very general hypersurface X ⊂ Pk N+1 of dimension N ≥ 3 and degree at least log2N + 2 is not stably rational over the algebraic closure of k.",
keywords = "Hypersurfaces, Integral Hodge conjecture, Rationality problem, Stable rationality, Unramified cohomology",
author = "Stefan Schreieder",
note = "Funding Information: I am grateful to J.-L. Colliot-Th?l?ne, B. Conrad, B. Totaro, and to the excellent referees for many useful comments and suggestions. I had useful discussions about topics related to this paper with O. Benoist and L. Tasin. ",
year = "2019",
month = aug,
day = "1",
doi = "10.1090/jams/928",
language = "English",
volume = "32",
pages = "1171--1199",
journal = "Journal of the American Mathematical Society",
issn = "0894-0347",
publisher = "American Mathematical Society",
number = "4",

}

Download

TY - JOUR

T1 - Stably irrational hypersurfaces of small slopes

AU - Schreieder, Stefan

N1 - Funding Information: I am grateful to J.-L. Colliot-Th?l?ne, B. Conrad, B. Totaro, and to the excellent referees for many useful comments and suggestions. I had useful discussions about topics related to this paper with O. Benoist and L. Tasin.

PY - 2019/8/1

Y1 - 2019/8/1

N2 - Let k be an uncountable field of characteristic different from two. We show that a very general hypersurface X ⊂ Pk N+1 of dimension N ≥ 3 and degree at least log2N + 2 is not stably rational over the algebraic closure of k.

AB - Let k be an uncountable field of characteristic different from two. We show that a very general hypersurface X ⊂ Pk N+1 of dimension N ≥ 3 and degree at least log2N + 2 is not stably rational over the algebraic closure of k.

KW - Hypersurfaces

KW - Integral Hodge conjecture

KW - Rationality problem

KW - Stable rationality

KW - Unramified cohomology

UR - http://www.scopus.com/inward/record.url?scp=85074006067&partnerID=8YFLogxK

U2 - 10.1090/jams/928

DO - 10.1090/jams/928

M3 - Article

AN - SCOPUS:85074006067

VL - 32

SP - 1171

EP - 1199

JO - Journal of the American Mathematical Society

JF - Journal of the American Mathematical Society

SN - 0894-0347

IS - 4

ER -