Del Pezzo Moduli via Root Systems
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Publication date
2010
Authors
Colombo, E.
van Geemen, B.
Looijenga, Eduard
Editors
Tschinkel, Yuri
Zarhin, Yuri
Advisors
Supervisors
Document Type
Part of book
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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 E6 and E7 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.
Keywords
Mathematics, Landbouwwetenschappen, Natuurwetenschappen, Wiskunde: algemeen
Citation
Colombo, E, van Geemen, B & Looijenga, E J N 2010, Del Pezzo Moduli via Root Systems. in Y Tschinkel & Y Zarhin (eds), Algebra, arithmetic, and geometry : in honor of Yu. I. Manin. Birkhäuser, Boston [etc.], pp. 291-337. https://doi.org/10.1007/978-0-8176-4745-2_7