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Del Pezzo moduli via root systems

代数几何 2007-05-23 v1

摘要

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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引用

@article{arxiv.math/0702442,
  title  = {Del Pezzo moduli via root systems},
  author = {Elisabetta Colombo and Bert van Geemen and Eduard Looijenga},
  journal= {arXiv preprint arXiv:math/0702442},
  year   = {2007}
}

备注

46 pages