Del Pezzo Moduli via Root Systems

E. Colombo; B. van Geemen; E.J.N. Looijenga

doi:10.1007/978-0-8176-4745-2_7

Del Pezzo Moduli via Root Systems

E. Colombo, B. van Geemen, E.J.N. Looijenga

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Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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.

Original language	English
Title of host publication	Algebra, arithmetic, and geometry : in honor of Yu. I. Manin
Editors	Yuri Tschinkel, Yuri Zarhin
Place of Publication	Boston [etc.]
Publisher	Birkhäuser
Pages	291-337
Number of pages	47
DOIs	https://doi.org/10.1007/978-0-8176-4745-2_7
Publication status	Published - 2010

Keywords

Mathematics
Landbouwwetenschappen
Natuurwetenschappen
Wiskunde: algemeen

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10.1007/978-0-8176-4745-2_7

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Looijenga-del-pezzo 2010
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title = "Del Pezzo Moduli via Root Systems",

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",

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AU - Colombo, E.

AU - van Geemen, B.

AU - Looijenga, E.J.N.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Mathematics

KW - Landbouwwetenschappen

KW - Natuurwetenschappen

KW - Wiskunde: algemeen

U2 - 10.1007/978-0-8176-4745-2_7

DO - 10.1007/978-0-8176-4745-2_7

M3 - Conference contribution

SP - 291

EP - 337

BT - Algebra, arithmetic, and geometry : in honor of Yu. I. Manin

A2 - Tschinkel, Yuri

A2 - Zarhin, Yuri

PB - Birkhäuser

CY - Boston [etc.]

ER -

Del Pezzo Moduli via Root Systems

Abstract

Keywords

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