Journal article

On a canonical class of Green currents for the unit sections of abelian schemes

Abstract:: We show that on any abelian scheme over a complex quasi-projective smooth variety, there is a Green current for the zero-section, which is axiomatically determined up to $\partial$ and $\bar\partial$-exact differential forms. This current generalizes the Siegel functions defined on elliptic curves. We prove generalizations of classical properties of Siegel functions, like distribution relations, limit formulae and reciprocity laws.

Publication status:: Published

Peer review status:: Peer reviewed

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Cite

Cite this record

APA Style

Maillot, V., & Rössler, D. (2015). On a canonical class of Green currents for the unit sections of abelian schemes. Documenta Mathematica, 20, 631–668.

MLA Style

Maillot, V., and D. Rössler. “On a Canonical Class of Green Currents for the Unit Sections of Abelian Schemes.” Documenta Mathematica, vol. 20, Documenta Mathematica, 2015, pp. 631–68.

Chicago Style

Maillot, V, and D Rössler. 2015. “On a Canonical Class of Green Currents for the Unit Sections of Abelian Schemes.” Documenta Mathematica 20: 631–68.
Share
Print

Access Document

Files:: 17.pdf

(Preview, Version of record, pdf, 414.4KB, Terms of use)

rrm_final.pdf

(Preview, Version of record, pdf, 366.9KB, Terms of use)

Authors

+ Maillot, V More by this author

Role:: Author

+ Rössler, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Documenta Mathematica
Journal:: Documenta Mathematica More from this journal
Volume:: 20
Pages:: 631-668
Publication date:: 2015-01-01
Acceptance date:: 2014-12-12
ISSN:: 1431-0635

Keywords:: article

math.AG

math.NT
Pubs id:: pubs:745034
UUID:: uuid:231dc76f-cb35-47b4-a30b-00ab8c5c28c2
Local pid:: pubs:745034
Source identifiers:: 745034
Deposit date:: 2018-04-13

Terms of use

Copyright date:: 2015
Notes:: This is the publisher's version of the article. The final version is available online from Documenta Mathematica at: https://www.math.uni-bielefeld.de/documenta/vol-20/17.html

Licence:: Terms and Conditions of Use for Oxford University Research Archive

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP