• $M$-curves and symmetric products

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/127/04/0615-0624

• # Keywords

$M$-curve; symmetric product; real locus

• # Abstract

Let $(X , \sigma)$ be a geometrically irreducible smooth projective $M$-curve of genus $g$ defined over the field of real numbers.We prove that the $n$-th symmetric product of $(X , \sigma)$ is an $M$-variety for $n$ = 2 ,3 and $n \geq 2g − 1$.

• # Author Affiliations

1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India
2. Department of Mathematics, Indian Institute of Science Education and Research, Dr. Homi Bhabha Road, Pune 411 008, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019