Publications

Francesc Bars: Bielliptic modular curves.
J. Number Theory 76 (1999), no. 1, 154—165 11G18 (11G30) .

  -briefly version (abstract in French) 5 pages.(pdf file comrencomren-UAB)
  -extended version (in catalan language) 86 pages, Prize Evariste Galois 1998 -( pdf  file TesinaTesina-UAB)

Francesc Bars: On the Tamagawa number conjecture. 

           Thesis UAB, may 2001. Publicacions de la Universitat Autònoma de Barcelona,

             2002. Published also on line under  http://www.tdcat.cesca.es/TDCat-1211101-102742 

 

 

 Francesc Bars: On the Tamagawa number conjecture for CM elliptic curves defined over Q. 

           J. Number Theory 95 (2002), no. 2, 190--208. 11G15 (11G05).   

Francesc Bars: A relation between p-adic L-functions and the Tamagawa number conjecture for Hecke characters.
Archiv der Mathematik (Basel) 83,(2004), 317-327. 11G40 (11G55, 11R23,19F27)

Francesc Bars and Luis Dieulefait: Galois actions on Q-curves and Winding Quotients. Math.Zeit. (2006), published the 25 May on line (old pdf file)

Francesc Bars: On Jannsen's conjecture for Hecke character of imaginary quadratic fields. Proceedings of the Primeras Jornadas de Teoria de Números, Vilanova i la Geltrú. Publ.Mat. 2007, volum extra, 29-42, (2007):(pdf file).

Francesc Bars: The group structure of the normalizer of $\Gamma_0(N)$ after Atkin-Lehner. Communications in Algebra 36, No. 6, 2160-2170 (2008).(old pdf file)

Francesc Bars: Weak Leopoldt's conjecture for Hecke character of imaginary quadratic fields. Preprint number 23 UAB Math Department, July 2005. Reviewed version November 2005 :(old pdf file). Journal of Algebra 319, No.5, 1954-1970 (2008).

Francesc Bars and Ignazio Longhi: Reciprocity laws à la Iwasawa-Wiles. Survey paper, October 2007. Revised, August 2008(pdf file). Library of the Rev. Mat. Iberomericana. Proceedings of the Segundas Jornadas de Teoría de Números, Madrid, 2008.

Francesc Bars and Ignazio Longhi: Coleman's power series and Wiles' reciprocity for Drinfeld modules. Preprint, April 2007. Revised, August 2008. J.Number Theory 129, No.4, 789-805 (2009) (old pdf file).

                                 

 Pre-publications

Francesc Bars: The Tamagawa number conjecture for Hecke characters.
Pre-print February 2001. Find an concrete version in chapter 3 of my PhD: http://www.tdcat.cesca.es/TDCat-1211101-102742 .  You can find a more general result in Preprint number 5, February 2002 in http://www.mat.uab.es/dpt/Publ/prepub.html Reviewed version(2007) (pdf file 1)

Francesc Bars: The Tamagawa number conjecture for Hecke characters, II. Preprint, November 2006.(pdf file 2)

Francesc Bars: On the Tamagawa number conjecture for Hecke characters. Article joining the above preprints: The Tamagawa number conjecture for Hecke characters I and II. Accepted to publication in Mathematische Nachrichten.(pdf file)

Andrea Bandini, Francesc Bars, Ignazio Longhi: Aspects of Iwasawa theory over function fields. Preprint, January 2010.(pdf file)

Francesc Bars, Ignazio Longhi: Coleman power series for elliptic units in global function fields. Manuscript, May 2010.

  

                                                                                        
Seminar Notes 

Francesc Bars:  Automorphic L functions (I).  Notes del Seminari de Teoria de Nombres (STNB) UB-UAB-UPC: Automorphic representations of  GL(2). Barcelona 1997, ISBN 84-923250-2-X. Fitxer dvi (in catalan language).

Francesc Bars: Birch-Swinnerton-Dyer conjecture for function fields. Notes del Seminari de Teoria Nombres UB-UAB-UPC 2001/02: Drinfeld modules. Barcelona, Febrer 2002. Fitxer pdf (in catalan language).

Francesc Bars: Fontaine-Mazur conjecture. Notes del Seminari de Teoria Nombres UB-UAB-UPC 2003/04: Galois representations of dimension 2. Barcelona, Gener 2004. Fitxer pdf (in catalan language).

Francesc Bars: On the automorphisms groups of genus 3 curves. Notes del Seminari de Teoria Nombres UB-UAB-UPC 2004/05: Genus 3 curves. Barcelona, Gener 2005. Pdf file Pdf file-UAB (in english).

                                  

 

Mathematical Reviews 

J.Coates, P.Schneider and R. Sujatha:  Modules over Iwasawa algebras.  Journal of the Inst. of Math. Jussieu 2(1) 73-108 (2003).  Reviewer by the MathSciNet MR1955208 I, the reviewer of this paper, thanks Otmar Venjakob for interesting conversations on the contents of this paper and very useful comments. I thank also Xavier Xarles for his suggestions.