Coverart for item
The Resource Borcherds products on O(2, l) and Chern classes of Heegner divisors, Jan H. Bruinier

Borcherds products on O(2, l) and Chern classes of Heegner divisors, Jan H. Bruinier

Label
Borcherds products on O(2, l) and Chern classes of Heegner divisors
Title
Borcherds products on O(2, l) and Chern classes of Heegner divisors
Statement of responsibility
Jan H. Bruinier
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
EYM
http://library.link/vocab/creatorDate
1971-
http://library.link/vocab/creatorName
Bruinier, Jan H.
Dewey number
512/.73
Illustrations
illustrations
Index
index present
LC call number
QA3
LC item number
.L28 no. 1780
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1780
http://library.link/vocab/subjectName
  • Forms, Modular
  • Series, Theta
  • Picard groups
  • Algebraic cycles
  • Chern classes
  • Algebraic cycles
  • Chern classes
  • Forms, Modular
  • Picard groups
  • Series, Theta
  • Algebraische Zykel
  • Automorphe Form
  • Modulform
  • Divisor
  • Formes modulaires
  • Cycles algébriques
  • Fonctions thêta
  • Chern, Classes de
Target audience
specialized
Label
Borcherds products on O(2, l) and Chern classes of Heegner divisors, Jan H. Bruinier
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Vector valued modular forms for the metaplectic group. The Weil representation. Poincar series and Einstein series. Non-holomorphic Poincar series of negative weight -- The regularized theta lift. Siegel theta functions. The theta integral. Unfolding against F. Unfolding against theta -- The Fourier theta lift. Lorentzian lattices. Lattices of signature (2,l). Modular forms on orthogonal groups. Borcherds products -- Some Riemann geometry on O(2,l). The invariant Laplacian. Reduction theory and Lp̂-estimates. Modular forms with zeros and poles on Heegner divisors -- Chern classes of Heegner divisors. A lifting into cohomology. Modular forms with zeros and poles on Heegner divisors II
Control code
50074448
Dimensions
unknown
Extent
1 online resource (viii, 152 pages).
File format
multiple file formats
Form of item
online
Isbn
9783540458722
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
unknown
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)50074448
Label
Borcherds products on O(2, l) and Chern classes of Heegner divisors, Jan H. Bruinier
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Vector valued modular forms for the metaplectic group. The Weil representation. Poincar series and Einstein series. Non-holomorphic Poincar series of negative weight -- The regularized theta lift. Siegel theta functions. The theta integral. Unfolding against F. Unfolding against theta -- The Fourier theta lift. Lorentzian lattices. Lattices of signature (2,l). Modular forms on orthogonal groups. Borcherds products -- Some Riemann geometry on O(2,l). The invariant Laplacian. Reduction theory and Lp̂-estimates. Modular forms with zeros and poles on Heegner divisors -- Chern classes of Heegner divisors. A lifting into cohomology. Modular forms with zeros and poles on Heegner divisors II
Control code
50074448
Dimensions
unknown
Extent
1 online resource (viii, 152 pages).
File format
multiple file formats
Form of item
online
Isbn
9783540458722
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
unknown
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)50074448

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...