Research articles
- V. Rotger, Rational points on Atkin-Lehner quotients of Shimura varieties, in progress.
- A. Kontogeorgis, V. Rotger, On the non-existence of exceptional
automorphisms on Shimura curves, Bull. London Math. Soc.40 (2008).
- 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).
- 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, 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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Survey articles
- V. Rotger, Uniformització rígida analítica de mòduls de Drinfeld, Notes del 17è Seminari de Teoria de Nombres UB-UAB-UPC: Mòduls de Drinfeld, Eds. P. Bayer, E. Nart, J. Quer, Barcelona 2003.
- V. Rotger, Introduction to Shimura varieties, International course within the special year in Shimura varieties and Arakelov Geometry, Centre de Recerca Matemàtica, Bellaterra, 20-23 de setembre de 2005.
- V. Rotger, Les conjectures de Serre, Seminari de Teoria de Nombres de Barcelona UB-UAB-UPC, Facultat de Nàutica de la Universitat Politècnica de Catalunya, Barcelona, 19 de gener de 2004.
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