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arXiv:1802.00805 [math.AG]AbstractReferencesReviewsResources

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

Kenneth Ascher, Dori Bejleri

Published 2018-02-02Version 1

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.

Comments: 30 pages, 4 figures. First in a series of papers on the subject. Comments welcome!
Categories: math.AG
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