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arXiv · 1802.00805

Stable pair compactifications of the moduli space of degree one del pezzo surfaces via elliptic fibrations

Kenneth Ascher·Dori Bejleri
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Abstract

A degree one del Pezzo surface is the blowup of P^2 at 8 general points. By the classical Cayley-Bacharach Theorem, there is a unique 9th point whose blowup produces a rational elliptic surface with a section. Via this relationship, we construct a stable pair compactification of the moduli space of anti-canonically polarized degree one del Pezzo surfaces.

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Kenneth Ascher, Dori Bejleri. 2018-02-02. Stable pair compactifications of the moduli space of degree one del pezzo surfaces via elliptic fibrations. https://arxiv.org/abs/1802.00805

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