2-Nilpotent real section conjecture
Publication
, Journal Article
Wickelgren, K
Published in: Mathematische Annalen
February 1, 2014
We show a 2-nilpotent section conjecture over ℝ: for a geometrically connected curve X over ℝ such that each irreducible component of its normalization has ℝ-points, π0(X(ℝ)) is determined by the maximal 2-nilpotent quotient of the fundamental group with its Galois action, as the kernel of an obstruction of Jordan Ellenberg. This implies that for X smooth and proper, X(ℝ)± is determined by themaximal 2-nilpotent quotient of Gal(ℂ(X)) with its Gal(ℝ) action, where X(ℝ)± denotes the set of real points equipped with a real tangent direction, showing a 2-nilpotent birational real section conjecture. © 2013 Springer-Verlag Berlin Heidelberg.
Duke Scholars
Published In
Mathematische Annalen
DOI
ISSN
0025-5831
Publication Date
February 1, 2014
Volume
358
Issue
1-2
Start / End Page
361 / 387
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wickelgren, K. (2014). 2-Nilpotent real section conjecture. Mathematische Annalen, 358(1–2), 361–387. https://doi.org/10.1007/s00208-013-0967-5
Wickelgren, K. “2-Nilpotent real section conjecture.” Mathematische Annalen 358, no. 1–2 (February 1, 2014): 361–87. https://doi.org/10.1007/s00208-013-0967-5.
Wickelgren K. 2-Nilpotent real section conjecture. Mathematische Annalen. 2014 Feb 1;358(1–2):361–87.
Wickelgren, K. “2-Nilpotent real section conjecture.” Mathematische Annalen, vol. 358, no. 1–2, Feb. 2014, pp. 361–87. Scopus, doi:10.1007/s00208-013-0967-5.
Wickelgren K. 2-Nilpotent real section conjecture. Mathematische Annalen. 2014 Feb 1;358(1–2):361–387.
Published In
Mathematische Annalen
DOI
ISSN
0025-5831
Publication Date
February 1, 2014
Volume
358
Issue
1-2
Start / End Page
361 / 387
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics