Research articles
- M. Bertolini, F. Castella, H. Darmon, S. Dasgupta, K. Prasanna, V. Rotger, p-adic L-functions and Euler systems: a tale in two trilogies, to appear in the Proceedings of the EPSRC Durham Symposium on Automorphic forms and Galois representations, 2012.
- M. Bertolini, H. Darmon, V. Rotger, Beilinson-Flach elements and Euler systems II: p-adic families and the Birch and Swinnerton-Dyer conjecture, in progress.
- M. Bertolini, H. Darmon, V. Rotger, Beilinson-Flach elements and Euler systems I: syntomic regulators and p-adic Rankin L-series, submitted for publication.
- H. Darmon, V. Rotger, Diagonal cycles and Euler systems II: p-adic families, in progress.
- H. Darmon, V. Rotger, Diagonal cycles and Euler systems I: A p-adic Gross-Zagier formula, accepted to Annales Sc. École Normal Supérieure.
- C. de Vera, V. Rotger, Galois representations over fields of moduli and rational points on Shimura curves, submitted.
- F. Fite, K. Kedlaya, V. Rotger, A. Sutherland, Sato-Tate distributions and Galois endomorphism modules in genus 2, Compositio Mathematica 148, n. 5, (2012) 1390-1442.
- H. Darmon, M. Daub, S. Lichtenstein, V. Rotger, with an appendix by W. A. Stein, Algorithms for Chow-Heegner points via iterated integrals, submitted. Here is the code we implemented in SAGE for our calculations.
- H. Darmon, V. Rotger, I. Sols, Iterated integrals, diagonal cycles and rational points on elliptic curves, Publ. Math. Besancon 2 (2012) 19-46.
- X. Guitart, V. Rotger, Y. Zhao, Almost totally complex points on elliptic curves,
accepted to Transactions Amer. Math. Soc. in October 2012.
- H. Darmon, V. Rotger, Y. Zhao, The Birch and Swinnerton-Dyer conjecture for Q-curves and Oda's period relations, Geometry and Analysis of Automorphic forms of several variables, Proceedings of the International Symposium in Honor of Takayuki Oda on the Occasion of his 60th birthday, Series on Number Theory and its applications 7 World Scientific (2012) 1-40.
- M. Longo, V. Rotger, S. Vigni, Special values of L-functions and the arithmetic of Darmon points, to appear in Crelle's J. reine angew. Math.
- V. Rotger, M. A. Seveso, L-invariants and Darmon cycles attached to higher weight modular forms, J. European Math. Soc. 14 n. 6 (2012), 1955-1999.
- M. Longo, V. Rotger, S. Vigni, On rigid analytic uniformizations of Jacobians of Shimura curves, American J. Math. 134 n. 5 (2012), 1197--1246
- S. Molina, V. Rotger, Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes, to appear in the Proc. American Math. Soc.
- A. Kontogeorgis, V. Rotger, On the non-existence of exceptional
automorphisms on Shimura curves, Bull. London Math. Soc.40 (2008) 363-374.
- V. Rotger, Which quaternion algebras act on a modular abelian variety?, Mathematical Research Letters 15 (2008), 251-263.
- A. Kontogeorgis, V. Rotger, On abelian automorphism groups of Mumford curves, Bull. London Math. Soc.40 (2008) 353-362.
- J. González, V. Rotger, Non elliptic Shimura curves of genus one, J. Math. Soc. Japan 58:4 (2006), 927-948.
- N. Bruin, E. V. Flynn, J. González, V. Rotger, On finiteness conjectures for endomorphism algebras of abelian surfaces, Math. Proc. Camb. Phil. Soc. 141:3 (2006), 383-408.
- V. Rotger, A. Skorobogatov, A. Yafaev, Failure of the Hasse principle on Atkin-Lehner
quotients of Shimura curves over
 , Moscow Math. J. 5:2, (2005), 463-476.
- L. V. Dieulefait, V. Rotger, On abelian surfaces with potential quaternionic multiplication over , Bull. Belg. Math. Soc. 12:4, (2005) 617-624.
- J. González, J. Guàrdia, V. Rotger, Abelian surfaces of GL2-type as Jacobians, Acta Arithmetica 116 (2005), 263-287.
- S. Galbraith, V. Rotger, Easy Decision Diffie-Hellman groups, London Mathematical Society J. Comput. Math. 7 (2004), 201-218.
- V. Rotger, The field of moduli of the quaternionic multiplication on abelian varieties, International J. Math. M. Sc. 52 (2004), 2795-2808.
- L. V. Dieulefait, V. Rotger, The arithmetic of QM-abelian surfaces through their Galois representations, J. Algebra 281 (2004), 124-143.
- J. González, V. Rotger, Equations of Shimura curves of genus two, Intern. Res. Math. Not. 14 (2004), 661-674.
- V. Rotger, Modular Shimura varieties and forgetful maps, Trans. Amer. Math. Soc. 356 (2004), 1535-1550.
- V. Rotger, Shimura curves embedded in Igusa’s threefold, Modular curves and Abelian varieties, Progress in Mathematics, Birkhäuser, 224 (2003), 263-273.
- V. Rotger, Quaternions, polarizations and class numbers, Crelle's J. reine angew. Math., 561 (2003),
177-197.
- V. Rotger, On the group of automorphisms of Shimura curves and applications, Compositio Mathematica, 132 (2002), 229-241.
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