References
Berthelot, P.: Cohomologie rigide et cohomologie rigid à supports propre. Preprint
Besser, A.: CM cycles over Shimura curves. J. Algebr. Geom. 4, 659–691 (1995)
Bertolini, M., Darmon, H.: Heegner points on Mumford-Tate curves. Invent. Math. 126, 413–456 (1996)
Bertolini, M., Darmon, H.: Heegner points, p-adic L-functions and the Cerednik-Drinfeld uniformisation. Invent. Math. 131, 453–491 (1998)
Bertolini, M., Darmon, H., Iovita, A., Spiess, M.: Teitelbaum’s exceptional zero conjecture in the anticyclotomic setting. Am. J. Math. 124, 411–449 (2002)
Bloch, S., Kato, K.: L-functions and Tamagawa numbers of motives. In: The Grothendieck Festschrift I, 333–400, Progr. Math. 108. Boston: Birkhäuser 1993
Boutot, J.F., Carayol, H.: Uniformisation p-adique des courbes de Shimura: les théorèmes de Čerednik et de Drinfeld. Courbes modulaires et courbes de Shimura (Orsay, 1987/1988). Astérisque 196–197 (1991), 7, 45–158 (1992)
Čerednik, I.V.: Uniformisation of algebraic curves by discrete arithmetic subgroups of PGL2(kw) with compact quotient spaces. (Russian) Math. Sb. 100, 59–88 (1976)
Coleman, R.: A p-adic Shimura Isomorphism and p-adic Periods of Modular forms. In: p-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture (Boston, 1991). Contemp. Math. 165, 21–51 (1994)
Coleman, R., Iovita, A.: Hidden structures on Semistable curves. Submitted for publication
Deligne, P.: Travaux de Shimura. Séminaire Bourbaki (1970/71), Exp. No. 389. Lect. Notes Math. 244, 123–165. Springer 1971
Deligne, P.: Hodge cycles on abelian varieties. In: Hodge Cycles, Motives and Shimura Varieties (P. Deligne, J. Milne, A. Ogus, K. Shih). Lect. Notes Math. 900, 9–100. Springer 1982
Deninger, C., Murre, J.: Motivic decomposition of abelian schemes and the Fourier transform. J. Reine Angew. Math. 422, 201–219 (1991)
Drinfeld, V.G.: Coverings of p-adic symmetric domains. (Russian) Funkts. Anal. Prilozh. 10, 29–40 (1976)
Faltings, G.: Crystalline cohomology and p-adic Galois-representations. In: Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988). Johns Hopkins Univ. Press 1989, 25–80
Faltings, G.: Cristalline cohomology of semistable curve—the ℚp-theory. J. Algebr. Geom. 6, 1–18 (1997)
Fontaine, J.M.: Les corps des périodes p-adiques. Périodes p-adiques. Séminaire de Bures (1988). Astérisque 223, 59–101 (1994)
Fontaine, J.M.: Représentations p-adiques semi-stables. Périodes p-adiques. Séminaire de Bures (1988). Astérisque 223, 113–184 (1994)
Hyodo, O.: H1 g(K,V)=H1 st(K,V). Unpublished manuscript
Jannsen, U.: Continuous Étale Cohomology. Math. Ann. 280, 207–245 (1988)
Kato, K.: Logarithmic structures of Fontaine-Illusie. In: Algebraic analysis, geometry, and number theory (Baltimore, MD, 1988). Johns Hopkins Univ. Press 1989, 191–224
Kisin, M.: Potential semi-stability of p-adic étale cohomology. Isr. J. Math. 129, 157–173 (2002)
Künnemann, K.: On the Chow Motive of an Abelian Scheme. In: Motives (Seattle, WA, 1991). Proc. Symp. Pure Math. 55.1, 189–205 (1994)
Langer, A.: Local points of motives in semistable reduction. Compos. Math. 116, 189–217 (1999)
Mazur, B.: On monodromy invariants occurring in global arithmetic and Fontaine’s theory. In: p-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture (Boston, 1991). Contemp. Math. 165, 1–20 (1994)
Mazur, B., Tate, J., Teitelbaum, J.: On p-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Invent. Math. 84, 1–48 (1986)
Nekovar, J.: Kolyvagin’s method for Chow groups of Kuga-Sato varieties. Invent. Math. 107, 99–125 (1992)
Nekovar, J.: On p-adic height pairings. Séminaire de Théorie des Nombres, Paris, 1990–91, 127–202, Progr. Math. 108. Boston: Birkhäuser 1993
Nekovar, J.: On the p-adic height of Heegner cycles. Math. Ann. 302, 609–686 (1995)
Nekovar, J.: p-adic Abel-Jacobi maps and p-adic heights. In: The arithmetic and geometry of algebraic cycles (Banff, AB, 1998). CRM Proc. Lect. Notes, 24, 367–379. Providence, RI: Am. Math. Soc. 2000
Nekovar, J.: Syntomic cohomology and p-adic regulators. Preprint 1998
Ogus, A.: F-Isocrystals and de Rham Cohomology II – Convergent Isocrystals. Duke Math. J. 51, 765–850 (1984)
Ribet, K.: Sur les variétés abéliennes à multiplications réelles. C. R. Acad. Sci., Paris, Sér. I, Math. 291, 121–123 (1980)
Ribet, K.: On l-adic representations attached to modular forms. II. Glasgow Math. J. 27, 185–194 (1985)
Rapoport, M., Zink, T.: Period spaces for p-divisible groups. Annals of Mathematics Studies 141. Princeton: Princeton University Press 1996
Scholl, A.J.: Motives for modular forms. Invent. Math. 100, 419–430 (1990)
Scholl, A.J.: Classical motives. In: Motives (Seattle, WA, 1991). Proc. Symp. Pure Math. 55.1, 163–187 (1994)
de Shalit, E.: Eichler cohomology and periods of modular forms on p-adic Schottky groups. J. Reine Angew. Math. 400, 3–31 (1989)
de Shalit, E.: A formula for the cup product on Mumford curves. Séminaire de Théorie des Nombres, 1987–1988 (Talence, 1987–1988), Exp. No. 47, 10 pp. Univ. Bordeaux I
de Shalit, E.: Differentials of the second kind on Mumford curves. Isr. J. Math. 71, 1–16 (1990)
Tsuji, T.: p-adic étale cohomology and crystalline in the semi-stable reduction case. Invent. Math. 137, 233–411 (1999)
Teitelbaum, J.: Values of p-adic L-functions and a p-adic Poisson kernel. Invent. Math. 101, 395–410 (1990)
Wortmann, S.: Motives attached to quaternionic automorphic forms. Preprint 2003
Yasuda, S.: Euler systems on Shimura curves and finiteness of Ш associated to modular forms. Preprint
Zink, T.: Catiertheorie commutativer formaler Gruppen. Teubner Texte zur Mathematik 68. Leipzig: Teubner 1984
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Iovita, A., Spiess, M. Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms. Invent. math. 154, 333–384 (2003). https://doi.org/10.1007/s00222-003-0306-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00222-003-0306-7