Del Pezzo moduli via root systems

Details Del Pezzo moduli via root systems Del Pezzo moduli via root systems

2007-02-15

arxiv.org/abs/math/0702442v1

Mathematics

Algebraic Geometry

46 pages

Scientific paper

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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