Monday, October 5 2020
15:30 - 16:30

IMSc Webinar

Positive cones of cycles and Seshadri constants oncertain projective varieties

Rupam Karmakar


Let X be the products of projective bundles $X = \mathbb{P}(E_1) \times_C \mathbb{P}(E_2)$ where $C$ is a smooth curve and $E_1$, $E_2$ are vector bundles over $C$. In the first part of the talk we will talk about the nef cone of $X$ without restriction on the rank or semistability of $E_1$ and $E_2$. We also study the Seshadri constants of ample line bundles on $X$. In the 2nd part we will talk about the computation of the pseudo effective cones of higher codimension cycles on $X$.

This is a thesis Defence talk.

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