Download E-books Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (Lecture Notes in Mathematics) PDF

By Jan H. Bruinier

Round 1994 R. Borcherds stumbled on a brand new kind of meromorphic modular shape at the orthogonal staff $O(2,n)$. those "Borcherds items" have endless product expansions analogous to the Dedekind eta-function. They come up as multiplicative liftings of elliptic modular varieties on $(SL)_2(R)$. the truth that the zeros and poles of Borcherds items are explicitly given when it comes to Heegner divisors makes them fascinating for geometric and mathematics purposes. within the current textual content the Borcherds' building is prolonged to Maass wave kinds and is used to review the Chern periods of Heegner divisors. A speak theorem for the lifting is proved.

Show description

Read Online or Download Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (Lecture Notes in Mathematics) PDF

Similar Abstract books

Basic Real and Abstract Analysis

This 1968 version covers the subsequent themes: Orientation; units and areas; sequences and sequence; degree and integration; degree thought; continuity; derivatives; and stieltjes integrals.

Braid Groups (Graduate Texts in Mathematics)

During this well-written presentation, encouraged by means of a number of examples and difficulties, the authors introduce the fundamental thought of braid teams, highlighting numerous definitions that express their equivalence; this can be via a therapy of the connection among braids, knots and hyperlinks. very important effects then deal with the linearity and orderability of the topic.

Algebra V: Homological Algebra (Encyclopaedia of Mathematical Sciences)

This quantity of the Encyclopaedia provides a latest method of homological algebra, that's in accordance with the systematic use of the terminology and concepts of derived different types and derived functors. The publication includes purposes of homological algebra to the speculation of sheaves on topological areas, to Hodge concept, and to the idea of sheaves on topological areas, to Hodge thought, and to the idea of modules over jewelry of algebraic differential operators (algebraic D-modules).

Class Field Theory (Universitext)

This publication offers an available creation to classification box idea. It takes a conventional procedure, yet in a way that's cleanser and extra streamlined than such a lot different books in this subject. The ebook has been class-tested, and the writer has integrated routines.

Extra info for Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors (Lecture Notes in Mathematics)

Show sample text content

Rated 4.98 of 5 – based on 26 votes