Krishna Hanumanthu

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math.AG2016

Multi-point Seshadri constants on ruled surfaces

Krishna Hanumanthu, Alapan Mukhopadhyay

Let $X$ be a surface and let $L$ be an ample line bundle on $X$ . We first obtain a lower bound for the Seshadri constant $ε (X, L, r)$ , when $r \geq 3$ . We then assume that $…

math.AG2016

Positivity of line bundles on special blow ups of $P^{2}$

Krishna Hanumanthu

Let $C \subset P^{2}$ be an irreducible and reduced curve of degree $e > 0$ . Let $X$ be the blow up of $P^{2}$ at $r$ distinct smooth points $p_{1}, \dots, p_{r} \in C$ . W…

Multi-point Seshadri constants on ruled surfaces

Positivity of line bundles on special blow ups of P2

Positivity of line bundles on special blow ups of $P^{2}$