Surfaces with close to irrational Seshadri constants – Sönke Rollenske (Universität Marburg)


Dipartimento di Matematica, Aula Seminari.


Seshadri constants measure local positivity of line bundles and it is an open question if they can be irrational on algebraic surfaces. I will recall this concept and prove that for a general point on a general hypersurface of degree $md$ in $\mathbb{P}(1,1,1,m)$ the Seshadri constant $\epsilon (\mathcal{O}_X(1), x)$ approaches the possibly irrational number $\sqrt d$ as $m$ grows ($d >1$ and $m>2$). This is joint work with A. Küronya.

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