New constructions of nef classes on self-products of curves

Mihai Fulger; Takumi Murayama

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arXiv · 2101.09827

New constructions of nef classes on self-products of curves

Mihai Fulger·Takumi Murayama

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Abstract

We study the nef cone of self-products of a curve. When the curve is very general of genus $g>2$, we construct a nontrivial class of self-intersection 0 on the boundary of the nef cone. Up to symmetry, this is the only known nontrivial boundary example that exists for all $g > 2$. When the curve is general, we identify nef classes that improve on known examples for arbitrary curves. We also consider self-products of more than two copies of the curve.

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Mihai Fulger, Takumi Murayama. 2021-01-24. New constructions of nef classes on self-products of curves. https://arxiv.org/abs/2101.09827

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