Borcherds products on 0(2,1) and Chern classes of Heegner divisors /
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| Author / Creator: | Bruinier, Jan H. (Jan Hendrik), 1971- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, 2002. |
| Description: | viii, 152 p. ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1780 Lecture notes in mathematics (Springer-Verlag) ; 1780. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4648679 |
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| 050 | 0 | 0 | |a QA3 |b .L28 no. 1780 |a QA243 |
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| 100 | 1 | |a Bruinier, Jan H. |q (Jan Hendrik), |d 1971- |0 http://id.loc.gov/authorities/names/n2002018072 |1 http://viaf.org/viaf/64231655 | |
| 245 | 1 | 0 | |a Borcherds products on 0(2,1) and Chern classes of Heegner divisors / |c Jan H. Bruinier. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c 2002. | ||
| 300 | |a viii, 152 p. ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1780 | |
| 505 | 0 | 0 | |g 1. |t Vector valued modular forms for the metaplectic group -- |g 1.1. |t The Weil representation -- |g 1.2. |t Poincare series and Eisenstein series -- |g 1.3. |t Non-holomorphic Poincare series of negative weight -- |g 2. |t The regularized theta lift -- |g 2.1. |t Siegel theta functions -- |g 2.2. |t The theta integral -- |g 2.3. |t Unfolding against F[subscript [beta],m] -- |g 2.4. |t Unfolding against [theta][subscript L] -- |g 3. |t The Fourier expansion of the theta lift -- |g 3.1. |t Lorentzian lattices -- |g 3.2. |t Lattices of signature (2,l) -- |g 3.3. |t Modular forms on orthogonal groups -- |g 3.4. |t Borcherds products -- |g 4. |t Some Riemann geometry on O(2,l) -- |g 4.1. |t The invariant Laplacian -- |g 4.2. |t Reduction theory and L[superscript p]-estimates -- |g 4.3. |t Modular forms with zeros and poles on Heegner divisors -- |g 5. |t Chern classes of Heegner divisors -- |g 5.1. |t A lifting into the cohomology -- |g 5.2. |t Modular forms with zeros and poles on Heegner divisors II. |
| 650 | 0 | |a Forms, Modular. |0 http://id.loc.gov/authorities/subjects/sh85050826 | |
| 650 | 0 | |a Series, Theta. |0 http://id.loc.gov/authorities/subjects/sh85120248 | |
| 650 | 0 | |a Picard groups. |0 http://id.loc.gov/authorities/subjects/sh85101918 | |
| 650 | 0 | |a Algebraic cycles. |0 http://id.loc.gov/authorities/subjects/sh85035063 | |
| 650 | 0 | |a Chern classes. |0 http://id.loc.gov/authorities/subjects/sh97008471 | |
| 650 | 7 | |a Algebraic cycles. |2 fast |0 http://id.worldcat.org/fast/fst00804930 | |
| 650 | 7 | |a Chern classes. |2 fast |0 http://id.worldcat.org/fast/fst00853646 | |
| 650 | 7 | |a Forms, Modular. |2 fast |0 http://id.worldcat.org/fast/fst00932983 | |
| 650 | 7 | |a Picard groups. |2 fast |0 http://id.worldcat.org/fast/fst01063593 | |
| 650 | 7 | |a Series, Theta. |2 fast |0 http://id.worldcat.org/fast/fst01113184 | |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1780. | |
| 901 | |a ToCBNA | ||
| 903 | |a HeVa | ||
| 929 | |a cat | ||
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| 928 | |t Library of Congress classification |a QA243.B785 2002 |l Eck |c Eck-Eck |i 4313204 | ||
| 927 | |t Library of Congress classification |a QA243.B785 2002 |l Eck |c Eck-Eck |b 60521275 |i 7256799 | ||