Details
| Original language | English |
|---|---|
| Pages (from-to) | 155-167 |
| Number of pages | 13 |
| Journal | Journal of algebra |
| Volume | 590 |
| Early online date | 11 Oct 2021 |
| Publication status | Published - 15 Jan 2022 |
| Externally published | Yes |
Abstract
We show that on the generic degree-d hypersurface in Pn+1, when d≥n+2, every closed point of degree d is separable, and has monodromy group Sd. We study related Franchetta-type questions on generic objects, and give affirmative answers in specific cases.
Keywords
- Generic hypersurface, Rational points, Rationality problems
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 590, 15.01.2022, p. 155-167.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Monodromy of closed points on generic hypersurfaces
AU - Ma, Qixiao
N1 - Funding information: The author sincerely thanks Professors Jun Li, Richard Hain, Chen Jiang and Dingxin Zhang for many helpful discussions and warm encouragements. The author is grateful to the referee for many helpful suggestions on the manuscript.
PY - 2022/1/15
Y1 - 2022/1/15
N2 - We show that on the generic degree-d hypersurface in Pn+1, when d≥n+2, every closed point of degree d is separable, and has monodromy group Sd. We study related Franchetta-type questions on generic objects, and give affirmative answers in specific cases.
AB - We show that on the generic degree-d hypersurface in Pn+1, when d≥n+2, every closed point of degree d is separable, and has monodromy group Sd. We study related Franchetta-type questions on generic objects, and give affirmative answers in specific cases.
KW - Generic hypersurface
KW - Rational points
KW - Rationality problems
UR - http://www.scopus.com/inward/record.url?scp=85116911953&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2021.10.011
DO - 10.1016/j.jalgebra.2021.10.011
M3 - Article
AN - SCOPUS:85116911953
VL - 590
SP - 155
EP - 167
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -