• Ronnie Sebastian

Articles written in Proceedings – Mathematical Sciences

• On Rationality of Moduli Spaces of Vector Bundles on Real Hirzebruch Surfaces

Let 𝑋 be a real form of a Hirzebruch surface. Let $M_H(r,c_1,c_2)$ be the moduli space of vector bundles on 𝑋. Under some numerical conditions on $r,c_1$ and $c_2$, we identify those $M_H(r,c_1,c_2)$ that are rational.

• Fundamental group schemes of $n$-fold symmetric product of a smooth projective curve

Let $k$ be an algebraically closed field of characteristic $p > 0$. Let $X$ be an irreducible smooth projective curve of genus $g$ over $k$. Fix an integer $n \geq 2$, and let $S^n(X)$ be the $n$-fold symmetric product of $X$. In this article, we find the $S$-fundamental group scheme and Nori’s fundamental group scheme of $S^n(X)$.

• # Proceedings – Mathematical Sciences

Volume 132, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019