Del pezzo moduli via root systems

Elisabetta Colombo*, Bert Van Geemen, Eduard Looijenga

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-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 languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer
Pages291-337
Number of pages47
DOIs
Publication statusPublished - 2009

Publication series

NameProgress in Mathematics
Volume269
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

Keywords

  • Del Pezzo surfaces
  • Moduli spaces
  • Root systems

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