Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (Lecture Notes in Mathematics, 1780, Band 1780) - Softcover

Bruinier, Jan H.

 
9783540433200: Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (Lecture Notes in Mathematics, 1780, Band 1780)
Softcover
ISBN 10: 3540433201 ISBN 13: 9783540433200
Verlag: Springer, 2008

Inhaltsangabe

Around 1994 R. Borcherds discovered a new type of meromorphic modular form on the orthogonal group $O(2,n)$. These "Borcherds products" have infinite product expansions analogous to the Dedekind eta-function. They arise as multiplicative liftings of elliptic modular forms on $(SL)_2(R)$. The fact that the zeros and poles of Borcherds products are explicitly given in terms of Heegner divisors makes them interesting for geometric and arithmetic applications. In the present text the Borcherds' construction is extended to Maass wave forms and is used to study the Chern classes of Heegner divisors. A converse theorem for the lifting is proved.

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Verlag
Springer
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
3540433201
ISBN 13 
9783540433200
Einband
Taschenbuch
Anzahl der Seiten
164
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