Details
| Original language | English |
|---|---|
| Pages (from-to) | 1171-1199 |
| Number of pages | 29 |
| Journal | Journal of the American Mathematical Society |
| Volume | 32 |
| Issue number | 4 |
| Publication status | Published - 1 Aug 2019 |
| Externally published | Yes |
Abstract
Keywords
- Hypersurfaces, Integral Hodge conjecture, Rationality problem, Stable rationality, Unramified cohomology
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Journal of the American Mathematical Society, Vol. 32, No. 4, 01.08.2019, p. 1171-1199.
Research output: Contribution to journal › Article › Research › peer review
}
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 -