| Borcherds Products on O(2, L) and Chern Classes of Heegner Divisors 2002 Edition Contributor(s): Bruinier, Jan H. (Author) |
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ISBN: 3540433201 ISBN-13: 9783540433200 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: April 2002 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General - Mathematics | Geometry - Algebraic |
| Dewey: 512.73 |
| LCCN: 2002023605 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.35" H x 6.14" W x 9.21" (0.53 lbs) 156 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 |