Author | Bruinier, Jan H. author |
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Title | Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors [electronic resource] / by Jan H. Bruinier |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2002 |
Connect to | http://dx.doi.org/10.1007/b83278 |
Descript | VIII, 156 p. online resource |
Introduction -- Vector valued modular forms for the metaplectic group. The Weil representation. Poincarรฉ series and Einstein series. Non-holomorphic Poincarรฉ series of negative weight -- The regularized theta lift. Siegel theta functions. The theta integral. Unfolding against F. Unfolding against theta -- The Fourier theta lift. Lorentzian lattices. Lattices of signature (2,l). Modular forms on orthogonal groups. Borcherds products -- Some Riemann geometry on O(2,l). The invariant Laplacian. Reduction theory and L̂p-estimates. Modular forms with zeros and poles on Heegner divisors -- Chern classes of Heegner divisors. A lifting into cohomology. Modular forms with zeros and poles on Heegner divisors II