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

Jan H. Bruinier 0 0 0

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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.