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Stable pair compactifications of the moduli space of degree one del pezzo surfaces via elliptic fibrations (1802.00805v3)
Published 2 Feb 2018 in math.AG
Abstract: A degree one del Pezzo surface is the blowup of P2 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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