ℒ-invariants and Shimura curves
Publication
, Journal Article
Dasgupta, S; Greenberg, M
Published in: Algebra and Number Theory
July 18, 2012
In earlier work, the second named author described how to extract Darmon-style ℒ-invariants from modular forms on Shimura curves that are special at p. In this paper, we show that these ℒ-invariants are preserved by the Jacquet-Langlands correspondence. As a consequence, we prove the second named author's period conjecture in the case where the base field is ℚ. As a further application of our methods, we use integrals of Hida families to describe Stark-Heegner points in terms of a certain Abel-Jacobi map. ©2012 by Mathematical Sciences Publishers.
Duke Scholars
Published In
Algebra and Number Theory
DOI
ISSN
1937-0652
Publication Date
July 18, 2012
Volume
6
Issue
3
Start / End Page
455 / 485
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dasgupta, S., & Greenberg, M. (2012). ℒ-invariants and Shimura curves. Algebra and Number Theory, 6(3), 455–485. https://doi.org/10.2140/ant.2012.6.455
Dasgupta, S., and M. Greenberg. “ℒ-invariants and Shimura curves.” Algebra and Number Theory 6, no. 3 (July 18, 2012): 455–85. https://doi.org/10.2140/ant.2012.6.455.
Dasgupta S, Greenberg M. ℒ-invariants and Shimura curves. Algebra and Number Theory. 2012 Jul 18;6(3):455–85.
Dasgupta, S., and M. Greenberg. “ℒ-invariants and Shimura curves.” Algebra and Number Theory, vol. 6, no. 3, July 2012, pp. 455–85. Scopus, doi:10.2140/ant.2012.6.455.
Dasgupta S, Greenberg M. ℒ-invariants and Shimura curves. Algebra and Number Theory. 2012 Jul 18;6(3):455–485.
Published In
Algebra and Number Theory
DOI
ISSN
1937-0652
Publication Date
July 18, 2012
Volume
6
Issue
3
Start / End Page
455 / 485
Related Subject Headings
- General Mathematics
- 0101 Pure Mathematics