Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors

Jan H. Bruinier 366浏覽 查看評論
Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
  • 書名: Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors
  • 作者: Jan H. Bruinier
  • ISBN: 9783540433200
  • 出版時間: 2002-04-10
  • 出版社: Springer
  • 入庫時間: 1518500575
  • 更新時間: 1518500575
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内容簡介

目录Introduction.-Vectorvaluedmodularformsforthemetaplecticgroup.TheWeilrepresentation.PoincaréseriesandEinsteinseries.Non-holomorphicPoincaréseriesofnegativeweight.-Theregularizedthetalift.Siegelthetafunctions.Thethetaintegral.UnfoldingagainstF.Unfoldingagainsttheta.-TheFourierthetalift.Lorentzianlattices.Latticesofsignature(2,l).Modularformsonorthogonalgroups.Borcherdsproducts.-SomeRiemanngeometryonO(2,l).TheinvariantLaplacian.ReductiontheoryandL^p-estimates.ModularformswithzerosandpolesonHeegnerdivisors.-ChernclassesofHeegnerdivisors.Aliftingintocohomology.ModularformswithzerosandpolesonHeegnerdivisorsII.Introduction.-Vectorvaluedmodularformsforthemetaplecticgroup.TheWeilrepresentation.PoincaréseriesandEinsteinseries.Non-holomorphicPoincaréseriesofnegativeweight.-Theregularizedthetalift.Siegelthetafunctions.Thethetaintegral.UnfoldingagainstF.Unfoldingagainsttheta.-TheFourierthetalift.Lorentzianlattices.Latticesofsignature(2,l).Modularformsonorthogonalgroups.Borcherdsproducts.-SomeRiemanngeometryonO(2,l).TheinvariantLaplacian.ReductiontheoryandL^p-estimates.ModularformswithzerosandpolesonHeegnerdivisors.-ChernclassesofHeegnerdivisors.Aliftingintocohomology.ModularformswithzerosandpolesonHeegnerdivisorsII.

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