Name: borcherds products on o(2,l) and chern classes of heegner divisors
SKU: 3484932
Price: 746.00 ZAR
Availability: InStock
Author: bruinier
ISBN: 9783540433200

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portada borcherds products on o(2,l) and chern classes of heegner divisors

borcherds products on o(2,l) and chern classes of heegner divisors

Type

Physical Book

Publisher

Springer

Author

bruinier

Language

English

Pages

152

ISBN

3540433201

ISBN13

9783540433200

Synopsis "borcherds products on o(2,l) and chern classes of heegner divisors"

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.