Ronnie Sebastian
Articles written in Proceedings – Mathematical Sciences
Volume 123 Issue 2 May 2013 pp 213-223
On Rationality of Moduli Spaces of Vector Bundles on Real Hirzebruch Surfaces
Indranil Biswas Ronnie Sebastian
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.
Volume 131 All articles Published: 15 November 2021 Article ID 0045 Article
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 $S^n(X)$.
Volume 132, 2022
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