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Del Pezzo moduli via root systems

Elisabetta Colombo·Bert van Geemen·Eduard Looijenga
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Abstract

Coble defined in his 1929 treatise invariants for cubic surfaces and quartic curves. We reinterpret these in terms of the root systems of type E_6 and E_7 that are naturally associated to these varieties, thereby giving some of his results a more intrinsic treatment. Our discussion is uniform for all Del Pezzo surfaces of degree 2,3,4 and 5.

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Elisabetta Colombo, Bert van Geemen, Eduard Looijenga. 2007-02-15. Del Pezzo moduli via root systems. https://arxiv.org/abs/math/0702442

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