Abstract
Let be a smooth projective surface of irregularity . The Hilbert scheme of points on parametrizes zero-dimensional subschemes of of length . We discuss general methods for studying the cone of ample divisors on . We then use these techniques to compute the cone of ample divisors on for several surfaces where the cone was previously unknown. Our examples include families of surfaces of general type and del Pezzo surfaces of degree . The methods rely on Bridgeland stability and the positivity lemma of Bayer and Macrì.
Citation
Barbara Bolognese. Jack Huizenga. Yinbang Lin. Eric Riedl. Benjamin Schmidt. Matthew Woolf. Xiaolei Zhao. "Nef cones of Hilbert schemes of points on surfaces." Algebra Number Theory 10 (4) 907 - 930, 2016. https://doi.org/10.2140/ant.2016.10.907
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