期刊全稱 | Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors | 影響因子2023 | Jan H. Bruinier | 視頻video | http://file.papertrans.cn/190/189808/189808.mp4 | 發(fā)行地址 | Includes supplementary material: | 學科分類 | Lecture Notes in Mathematics | 圖書封面 |  | 影響因子 | 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. | Pindex | Book 2002 |
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