My google scholar profile


Research area: algebraic geometry (algebraic surfaces and their moduli, irregular varieties,  coverings).
Talks: MSRI 2009, Levico 2010,  UGA 2010, Kias 2012.
Publications (in reverse chronological order): 
  1. V. Alexeev, R. Pardini, On the existence of ramified abelian covers, to appear in Rendiconti del Seminario Matematico Universita' e Politecnico di Torino. arXiv:1210.6174
  2. M. Mendes Lopes, R. Pardini and G.P. Pirola,  Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal Albanese dimension, to appear in Geometry & Topology. arXiv:1207.4516
  3. M. Mendes Lopes, R. Pardini and G.P. Pirola,  Brill-Noether loci for divisors on irregular varieties, to appear in Journal of the European Mathematical Society. arXiv:1112.6357
  4. M. Mendes Lopes, R. Pardini, A uniform bound on the canonical degree of Albanese defective curves on surfaces, Bulletin of the  LMS, first published on line April 17, 2012. doi:10.1112/blms/bds043. arXiv:1103.4292
  5. V. Alexeev, R. Pardini, Non-normal abelian covers, Compositio Mathematica 148 no. 4  (2012),  1051-1084. arXiv:1102.4184
  6. M. Mendes Lopes, R. Pardini and G.P. Pirola,  On the canonical map of surfaces with $q\ge 6$, dedicated to Fabrizio Catanese on the occasion of his 60th birthday, Science China Mathematics, 54 (8) (2011), 1725-1739. arXiv:1102.0787 
  7. M. Mendes Lopes, R. Pardini and G.P. Pirola, A characterization of the symmetric square of a curve, International Mathematics Research Notices (2011).  doi: 10.1093/imrn/rnr025   arXiv:1008.1790
  8. M. Mendes Lopes, R. Pardini and G.P. Pirola, On surfaces of general type with $q=5$, to appear in Annali Scientifici della Scuola Normale Superiore di Pisa. arXiv:1003.5991
  9. M. Mendes Lopes, R. Pardini, The geography of irregular surfaces, Current developments in algebraic geometry,  Math. Sci. Res. Inst. Publ. 59, Cambridge Univ. Press (2012), 349–378.  arXiv:0909.5195
  10.  V. Alexeev, R. Pardini, Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces. arXiv:0901.4431
  11. M. Mendes Lopes, R. Pardini, Severi type inequalities for irregular surfaces with ample canonical class, Comm. Math. Helv.  86, no. 2 (2011), 401-414. arXiv:0904.1004
  12. M. Mendes Lopes, R. Pardini, On surfaces with $p_g=2q-3$, Adv. in Geom.  10 (3) (2010)  549–555. arXiv:0811.0390
  13. M. Mendes Lopes, R. Pardini, M. Reid,  Campedelli surfaces with fundamental group of order 8, Geom. Ded. 139 (1) (2009), 49-55.  arXiv:0805.0006
  14. A. Calabri, M. Mendes Lopes, R. Pardini, Involutions on numerical Campedelli surfaces, Tohoku Math. J. 60, no.1 (2008), 1-22. math.AG/0511391
  15. C. Ciliberto, M. Mendes Lopes, R. Pardini, Surfaces with $K^2<3\chi$ and finite fundamental group, Math. Res. Lett. 14, no. 6 (2007), 1081-1098.  arXiv:0706.1784
  16. M. Mendes Lopes, R. Pardini, On the algebraic fundamental group of surfaces with $K^2\le 3\chi$, J.D.G. 12, no. 2 (2007), 177-188. math.AG/0512483
  17. M. Mendes Lopes, R. Pardini, Numerical Campedelli surfaces with fundamental group of order 9, J.E.M.S. 10 (2) (2008), 457-476. math.AG/0602633
  18. M. Mendes Lopes, R.Pardini, The degree of the bicanonical map of a surface with $p_g=0$, Proc. A.M.S. 135 (2007), 1279-1282. math.AG/0505231
  19. M. Mendes Lopes, R. Pardini, The order of finite algebraic fundamental groups of surfaces with $K^2\le 3\chi-2$, ''Algebraic geometry and Topology" Suurikaiseki kenkyusho Koukyuuroku, No. 1490 (2006), pp. 69-75.
    math.AG/0605733
  20. C.D. Hacon, R.Pardini, Birational characterization of products of curves of genus 2, Math. Res. Lett. 12 1 (2005), 129-140.
    math.AG/0402296
  21. R.Pardini, The Severi inequality $K^2\ge 4\chi$ for surfaces of maximal Albanese dimension,  Invent. math. 159  3 (2005), 669 - 672.  math.AG/0403170.
  22. M. Mendes Lopes, R.Pardini, A new family of surfaces with $p_g=0$ and $K^2=3$, Ann. Scient. Ec. Norm. Sup. 4^e se'rie,  37 (2004), 507-531. math.AG/0304181.
  23. M. Mendes Lopes, R.Pardini, Surfaces with $p_g=0$, $K^2=6$ and non birational  bicanonical  map, Math. Ann. 329 (2004), 535-552. math.AG/0301138.
  24. M. Mendes Lopes, R. Pardini,  The bicanonical map of surfaces with $p_g=0$ and $K^2\ge 7$, II, Bull. London Math. Soc.  35  3  (2003),  337-343. math.AG/0111160
  25. C. Ciliberto, R. Pardini, F. Tovena, Regular canonical covers, Math. Nachrichten 251 (2003), 19-27. math.AG/0110080  
  26. M. Mendes Lopes, R. Pardini, Enriques surfaces with eight nodes, Math. Zeit.  241 4 (2002), 673-683. math.AG/0110122
  27. R. Pardini, The classification of double planes of general type with $p_g=0$ and $K^2=8$, J. of Algebra 259 (2003), 95-118. math.AG/0107100
  28. C.D. Hacon, R. Pardini, Surfaces with $p_g=q=3$, Trans. Amer. Math. Soc. 354 (7) (2002), 2631-2638.
    math.AG/0104048
  29. C.D. Hacon, R. Pardini, On the birational geometry of varieties of maximal Albanese dimension,  J. reine angew. Math. 546 (2002), 177-199. math.AG/0105070
  30. I. Dolgachev, M. Mendes Lopes, R. Pardini, Rational surfaces with many nodes,  Compositio Mathematica,  132 (2002), 349-363. math.AG/0011087
  31. M. Mendes Lopes, R. Pardini, A survey on the bicanonical map of surfaces  with $p_g=0$ and $K^2\ge 2$, Proc. of the Conference  in memory  of Paolo Francia, Genova, settembre 2001, Kluwer  (2002), 277-287.
    math.AG/020218
  32. M. Mendes Lopes, R. Pardini,  A connected component of the moduli space of surfaces  with $p_g=0$, Topology  40 (5)  (2001), 977-991. math.AG/9910012
  33. M. Mendes Lopes, R. Pardini,  The bicanonical map of surfaces with $p_g=0$ and $K^2\ge 7$, Bull. London Math. Soc.  33  (3) (2001),  265-274. math.AG/9910074
  34. C. Ciliberto, R. Pardini, F. Tovena,  Prym varieties and the canonical map of surfaces of general type,  Ann.  Scuola Norm.  Sup.  Pisa Cl. Sci. (4) XXIX 29 (4)(2000), 905-938. math.AG/0005257
  35. M. Mendes Lopes, R. Pardini, Triple canonical surfaces of minimal degree, International J. Math. 11 no. 4 (2000), 553-578. math.AG/9807006
  36. M. Mendes Lopes, R. Pardini, Irregular canonical double surfaces, Nagoya Math. J.  152  (1998), 203-230. math.AG/96110030
  37. R. Pardini,  On the period map of abelian covers of projective varieties, Ann.  Scuola Norm. Sup.  Pisa Cl. Sci. (4)  XXVI (1998), 719-735. math.AG/9606002
  38. B. Fantechi, R. Pardini,  On the Hilbert scheme of curves in higher-dimensional projective space, Manuscripta Math. 90 (1996), 1-15. math.AG/9501009
  39. B. Fantechi, R. Pardini, Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers, Comm.  Algebra  25 (1997), 1413-1441. math.AG/9410006
  40. R. Pardini, F. Tovena, A note on the topology of a completely ramified abelian cover, Seminari di Geometria 1991-1992, Universita' di Bologna, Dipartimento di matematica (1994), 151-168.
  41. R. Pardini, F. Tovena, On the fundamental group of an abelian cover,   International  J.  Math.  6 no. 5 (1995), 767-789. math.AG/9305011
  42. R. Pardini, Some remarks on varieties with projectively isomorphic hyperplane sections, Geom.  Dedicata  52  (1994),  15-32. 
  43. R. Pardini,  Canonical images of surfaces, J. reine angew. Math.   417 (1991), 215-219.
  44. R. Pardini,  Abelian covers of algebraic varieties,   J. reine angew. Math.  417 (1991), 191-213.
  45. R. Pardini,  Triple covers in positive characteristic,  Ark. Mat.  27 (1989), 319-341.
  46. R. Pardini, Infinitesimal Torelli and abelian covers of algebraic surfaces, Symposia Mathematica I.N.D.A.M., vol.  XXXII, Academic Press (1991), 247-257.
  47. R. Pardini,  Some remarks on plane curves over fields of positive characteristic, Comp. Math.  60 (1986), 3-17.