Projective normality of torus quotients of flag varieties

Arpita Nayek, Santosha Kumar Pattanayak, Shivang Jindal

Let $G=S{L}_n(\mathbb{C})$ and $T$ be a maximal torus in $G$. We show that the quotient $T\backslash \backslash G/P_{{\alpha }_1}\cap P_{{\alpha }_2}$ is projectively normal with respect to the de…