PreprintCC BY 4.0arXiv
Maximality and configuration spaces on real algebraic curves
Abstract
Let C be a non-singular real algebraic curve of genus g. The real structure on C induces a real structure on the configuration space of n distinct unlabeled points on C. We prove that this configuration space is maximal (in the sense of the Smith-Thom inequality) if and only if C is maximal or the genus of C is zero and n is even.
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BibTeX
@misc{demory2026maximality,
title = {{Maximality and configuration spaces on real algebraic curves}},
author = {Aloïs Demory},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.35442},
eprint = {2609.35442},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.35442},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Maximality and configuration spaces on real algebraic curves
AU - Aloïs Demory
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.35442
UR - https://arxiv.org/abs/2609.35442
AB - Let C be a non-singular real algebraic curve of genus g. The real structure on C induces a real structure on the configuration space of n distinct unlabeled points on C. We prove that this configuration space is maximal (in the sense of the Smith-Thom inequality) if and only if C is maximal or the genus of C is zero and n is even.
ER -