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Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms

Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms Invent. math. 154, 333–384 (2003) DOI: 10.1007/s00222-003-0306-7 Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms 1 2 Adrian Iovita , Michael Spieß Department of Mathematics, Concordia University, 1455 de Maisonneuve West, Montreal, Quebec, H3G 1M8, Canada (e-mail: iovita@math.washington.edu) Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany (e-mail: mspiess@mathematik.uni-bielefeld.de) Oblatum 19-IX-2001 & 6-III-2003 Published online: 18 June 2003 –  Springer-Verlag 2003 Contents 1 Introduction ................... .................. 333 2 Filtered Frobenius monodromy modules .... .................. 336 3 Covergent filtered F-isocrystals and Dieudonne ´ modules ............. 340 4 Convergent filtered F-isocrystals associated to representations of GL ...... 344 5 Representations and Dieudonne ´ module attached to modular forms ........ 349 6 Comparison of L-invariants ........... .................. 358 7The p-adic Abel-Jacobi map .......... .................. 360 8 Heegner cycles ................. .................. 364 9 Derivatives of anticyclotomic p-adic L-functions ................. 369 10 Appendix .................... .................. 375 1. Introduction Let f(z) be an elliptic newform of even weight k = n + 2 ≥ 4and level N and let p be a prime number. Let us assume that f(z) corresponds to a modular form on a Shimura curve via the theory of Jacquet-Langlands and let us fix a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Inventiones mathematicae Springer Journals

Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms

Inventiones mathematicae , Volume 154 (2) – Jun 18, 2003

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References (44)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag
Subject
Mathematics
ISSN
0020-9910
eISSN
1432-1297
DOI
10.1007/s00222-003-0306-7
Publisher site
See Article on Publisher Site

Abstract

Invent. math. 154, 333–384 (2003) DOI: 10.1007/s00222-003-0306-7 Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms 1 2 Adrian Iovita , Michael Spieß Department of Mathematics, Concordia University, 1455 de Maisonneuve West, Montreal, Quebec, H3G 1M8, Canada (e-mail: iovita@math.washington.edu) Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany (e-mail: mspiess@mathematik.uni-bielefeld.de) Oblatum 19-IX-2001 & 6-III-2003 Published online: 18 June 2003 –  Springer-Verlag 2003 Contents 1 Introduction ................... .................. 333 2 Filtered Frobenius monodromy modules .... .................. 336 3 Covergent filtered F-isocrystals and Dieudonne ´ modules ............. 340 4 Convergent filtered F-isocrystals associated to representations of GL ...... 344 5 Representations and Dieudonne ´ module attached to modular forms ........ 349 6 Comparison of L-invariants ........... .................. 358 7The p-adic Abel-Jacobi map .......... .................. 360 8 Heegner cycles ................. .................. 364 9 Derivatives of anticyclotomic p-adic L-functions ................. 369 10 Appendix .................... .................. 375 1. Introduction Let f(z) be an elliptic newform of even weight k = n + 2 ≥ 4and level N and let p be a prime number. Let us assume that f(z) corresponds to a modular form on a Shimura curve via the theory of Jacquet-Langlands and let us fix a

Journal

Inventiones mathematicaeSpringer Journals

Published: Jun 18, 2003

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