Coble defined in his 1929 treatise invariants for cubic surfaces and quartic curves. We reinterpret these in terms of the root systems of type and 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.
Del Pezzo moduli via root systems / E. Colombo, L. van Geemen, E. Looijenga (PROGRESS IN MATHEMATICS). - In: Algebra, arithmetic, and geometry. 1: In Honor of Yu. I. Manin / [a cura di] Y. Tschinkel, Y. Zarhin. - [s.l] : Birkhäuser, 2009. - ISBN 9780817647445. - pp. 291-337
Del Pezzo moduli via root systems
E. Colombo;L. van Geemen;
2009
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 and 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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