Full List of Papers


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  1. Plaza Martín, F. J. , Algebro-geometric solutions of the Virasoro constraints, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 11, no. 52, 2015, pp. 34 PDF
  2. Plaza Martín, F. J. , Representations of the Witt Algebra and Gl(n)-Opers, Lett. Math. Phys., , vol. 103, no. 10, 2013, pp. 1079–1101 PDF
  3. Plaza Martín, F. J. ; Iglesias Curto, J. I.; Serrano Sotelo, G. , On the construction of 1-dimensional MDS convolutional Goppa codes, IEEE Transactions on Information Theory, , vol. 59, Issue 7, 2013, pp. 4615 - 4625 PDF
  4. Iglesias Curto, J. I.; Muñoz Porras, J. M. Plaza Martín, F. J. ; Serrano Sotelo, G. , Convolutional Goppa codes defined on fibrations, Appl. Algebra Engrg. Comm. Comput. , vol. 23, no. 3-4, 2012 , pp. 165–178 PDF
  5. Gómez González, E.; Hernández-Serrano, D.; Muñoz Porras, J. M. Plaza Martín, F. J. , Geometric approach to Kac-Moody and Virasoro algebras, J. Geom. Phys., vol. 62, no. 9, 2012 , pp. 1984–1997 PDF
  6. Plaza Martín, F. J. , Arithmetic infinite Grassmannians and the induced central extensions, Collectanea Mathematica, vol. 61, Fasc. 1, 2010 , pp. 107-129 PDF
  7. Muñoz Porras, J. M.; Plaza Martín, F. J.  Coverings with prescribed ramification and Virasoro groups, Kyoto Journal of Mathematics, Volume 50, Number 1 (2010), 51-73.  PDF
  8. Gómez González, E.; Muñoz Porras, J. M.; Plaza Martín, F. J., Rodríguez, R.E., Characterizations of jacobians of curves with automorphisms,  Trans. Amer. Math. Soc. 362 (2010), 5373-5394.  PDF
  9. MR2554732 Hernández-Serrano, D.; Muñoz Porras, J. M.; Plaza Martín, F. J. Equations of the moduli of Higgs pairs and infinite Grassmannian. Internat. J. Math. 20 (2009), no. 8, 1029--1055. 37Kxx (14H10 14H70) PDF
  10. MR2452178 (2009h:14080) Casimiro, A. C.; Muñoz Porras, J. M.; Plaza Martín, F. J. Quotients on the Sato Grassmannian and the moduli of vector bundles. J. Phys. A 41 (2008), no. 19, 194004, 10 pp.  14L24 (14D20 14H60 14M15 58B25)  PDF 
  11. MR2431573 (2009g:14036) Muñoz Porras, José M.; Plaza Martín, Francisco J. Equations of Hurwitz schemes in the infinite Grassmannian. Math. Nachr. 281 (2008), no. 7, 989--1012.  14H70 (14H30 35Q53 37K10 37K20)  PDF
  12. MR2394045 (2009b:14094) Casimiro, A. C.; Muñoz Porras, J. M.; Plaza Martín, F. J. Stability on the Sato Grassmannian. Applications to the moduli of vector bundles. J. Geom. Phys. 58 (2008), no. 3, 402--421.  14M15 (14H60 14L24 58B25)   PDF 
  13. MR2218001 (2007b:14060) Gómez González, E.; Plaza Martín, F. J. Curves with a group action and Galois covers via infinite Grassmannians. The geometry of Riemann surfaces and abelian varieties, 105--117, Contemp. Math., 397, Amer. Math. Soc., Providence, RI, 2006. 14H37 (14H10 14H30 58B25)   PDF  
  14. MR2194785 (2006k:14088) Plaza Martín, Francisco J. Vector fields on the Sato Grassmannian. Collect. Math. 56 (2005), no. 3, 265--274. 14M15 (58B99)   PDF
  15. MR2023311 (2004m:14053) Gómez González, E.; Muñoz Porras, J. M.; Plaza Martín, F. J. Prym varieties, curves with automorphisms and the Sato Grassmannian. Math. Ann. 327 (2003), no. 4, 609--639.  14H40 (14H37 14H70 37K20 58B25)   PDF
  16. MR2007605 (2004m:14015) Gómez González, E.; Plaza Martín, F. J. Addition formulae for non-abelian theta functions and applications. J. Geom. Phys. 48 (2003), no. 2-3, 480--502. 14D20 (14H60 14H70 14K25)   PDF
  17. MR1815719 (2002b:14041) Muñoz Porras, J. M.; Plaza Martín, F. J. Automorphism group of $k(\!(t)\!)$: applications to the bosonic string. Comm. Math. Phys. 216 (2001), no. 3, 609--634.  14H81 (14H70 14L05 81T30)   PDF
  18. MR1794521 (2001j:58009) Plaza-Martín, Francisco J. The Grassmannian of $k((z))$: Picard group, equations and automorphisms. J. Math. Kyoto Univ. 40 (2000), no. 3, 567--580.  58B25  DVI
  19. MR1783692 (2001g:14058) Plaza Martín, F. J. Algebraic solutions of the multicomponent KP hierarchy. J. Geom. Phys. 36 (2000), no. 1-2, 1--21. 14H70 (14H42 37K20) PDF
  20. MR1726736 (2001a:14032) Muñoz Porras, J. M.; Plaza Martín, F. J. Equations of the moduli of pointed curves in the infinite Grassmannian. J. Differential Geom. 51 (1999), no. 3, 431--469. 14H70 (14F05 14H42 14L15 22E65 37K20)   DVI
  21. MR1781698 (2002d:14051) Álvarez Vázquez, A.; Muñoz Porras, J. M.; Plaza Martín, F. J. The algebraic formalism of soliton equations over arbitrary base fields. Workshop on Abelian Varieties and Theta Functions (Spanish) (Morelia, 1996), 3--40, Aportaciones Mat. Investig., 13, Soc. Mat. Mexicana, México, 1998.  14H70 (37K20)   PDF
  22. MR1612314 (99a:14037) Plaza Martín, Francisco J. Prym varieties and the infinite Grassmannian. Internat. J. Math. 9 (1998), no. 1, 75--93. 14H40 (58B25 58F07)   PDF

Preprints

  1. Plaza Martín, F. J. Tejero Prieto, C. Virasoro and KdV.  PDF
  2. Plaza Martín, F. J. Tejero Prieto, C. Construction of simple non-weight $\sl(2)$-modules of arbitrary rank.  PDF
  3. Plaza Martín, F. J. Tejero Prieto, C. Extending Representations of $\sl(2)$ to Witt and Virasoro algebras.  PDF

Talks (selected)

  1. Non-abelian theta functions: addition formulae and multicomponent KP hierarchy, VBAC 2000, Bad Honnef, Germany, September, 2000 PDF 
  2. Extensions of the Witt group and the moduli space of curves, Russian-Spanish meeting on Arithmetic and Geometry, Salamanca, May 8th-9th, 2003 PDF 
  3. Addition Formulae for Non-Abelian Theta Functions, First Joint Meeting RSME–AMS, Seville, June 18th-21st, 2003.; PDF 
  4. A solution of the Schottky-Type problem for curves with automorphisms, III Iberoamerican Congress on Geometry, Salamanca, June 8th-12th, 2004 
  5. Grupos de Virasoro y Esquemas de Hurwitz, Primer Congreso Conjunto de Matemáticas RSME-SCM-SEIO-SEMA, MAT.ES 2005, Valencia, 31 enero - 4 febrero 2005,  PDF 
  6. Covers of curves and the Schottky problem for curves with automorphisms, Workshop “Local fields, algebraic geometry, generalized KP-hierarchy”, Berlin, June, 2-7th, 2005  PDF 
  7. Equations of the moduli of Higgs pairs and infinite Grassmannian, Congreso Real Sociedad Matemática Española, Oviedo, 4 a 7 de Febrero de 2009, PDF 
  8. Uniformization of the Moduli Space of Pairs, V Iberoamerican Congress on Geometry, Pucón, December 10th-13th, 2010 PDF 
  9. Virasoro Algebras and Riemann Surfaces, VI Iberoamerican Congress on Geometry, CUNY, New York, May 20th-22nd, 2014 PDF 
  10. Solitons, Algebraic Geometry and Representation Theory, III Encuentro Conjunto SMM - RSME, Zacatecas, September 1st-4th, 2014 PDF 
  11. Infinite Grassmannians and Applications to Arithmetic, Primer Encuentro de la Red de Geometría Algebraica y Singularidades, Barcelona, 27-29 de enero de 2016 PDF