Research area: algebraic geometry (algebraic surfaces and their moduli, irregular varieties,  coverings). My google scholar profile



Orcid: 0000-0002-8011-925X                                            
Books edited:
Textbooks:

E.Fortuna, R. Frigerio, R. Pardini, Projective Geometry, Springer Unitext (2016).
E.Fortuna, R. Frigerio, R. Pardini, Geometria Proiettiva, Springer Unitext (2011).
Publications (in reverse chronological order): 
  1. C. Ciliberto, R. Pardini, On some boundary divisors in the moduli spaces of stable Horikawa surfaces with K^2=2p_g-3. arXiv:2502.16322
  2. R. Pardini, Piotr Pokora, Bounds for characteristic numbers of conic-line arrangements in the plane, to appear in "Collectanea Mathematica". arXiv:2312.12950
  3. L.F. Di Cerbo, R. Pardini,  On the Hopf Problem and a Conjecture of Liu-Maxim-Wang, Expositiones Mathematicae 42 (2024), https://doi.org/10.1016/j.exmath.2024.125543. arXiv:2310.03129
  4. S.Coughlan, M. Franciosi, R. Pardini, S. Rollenske, Half canonical rings of Gorenstein spin curves of genus two. arXiv:2312.09671
  5. S.Coughlan, M. Franciosi, R. Pardini, S. Rollenske, 2-Gorenstein stable surfaces with K^2_X=1 and \chi(X)=3. arXiv:2409.07854
  6. S.Coughlan, M. Franciosi, R. Pardini, S. Rollenske, Degeneration of Hodge structures on I-surfaces, to appear in "Current developments in Hodge theory.  Proceedings of Hodge theory at IMSA", Simons Symposia series, Springer. arXiv:2209.07150
  7. M. Mendes Lopes, R. Pardini, S.Tirabassi, Effective characterization of quasi-abelian surfaces, Forum of Mathematics, Sigma Vol. 11 (2023) DOI: https://doi.org/10.1017/fms.2023.2 arXiv: 2206.05464
  8. M. Mendes Lopes, R. Pardini, S.Tirabassi, A footnote to a theorem of Kawamata, (Mathematische Nachrichten, to appear). arXiv: 2210.11776
  9. Vicente Lorenzo, M. Mendes Lopes, R. Pardini, Numerical properties of exceptional divisors of birational morphisms of smooth surfaces, Rendiconti del Circolo Matematico di Palermo Series 2 https://rdcu.be/cUrje  https://doi.org/10.1007/s12215-022-00803-1 arXiv: 2204.10797
  10. M. Mendes Lopes, R. Pardini, On the degree of the canonical map of a surface of general type, The Art of Doing Algebraic Geometry, Trends in Mathematics (2023). arXiv: 2103.01912
  11. M. Franciosi, B. Fantechi, R. Pardini, Smoothing semi-smooth stable Godeaux surfaces. Algebraic Geometry 9 (4) (2022) 502-512, doi: 10.14231/AG-2022-015
    arXiv: 2105.00786
  12. M. Franciosi, R. Pardini, Julie Rana,  S. Rollenske, I-surfaces with one T-singularity. Bollettino dell'Unione Matematica Italiana 15 (1-2) (2022), 173-190. https://rdcu.be/cilPN  arXiv: 2012.05838
  13. S.Coughlan, M. Franciosi, R. Pardini, Julie Rana,  S. Rollenske, On T-divisors and intersections in \bar{M}_{1,3}, Journal of the London Mathematical Society, Vol.107 (2) (2022). https://doi.org/10.1112/jlms.12696  arXiv: 2111.12425
  14. M. Franciosi,  B. Fantechi, R. Pardini,  Deformations of semi-smooth varieties. International Mathematics Research Notices.  https://dx.doi.org/10.1093/imrn/rnac261  arXiv: 2010.02296
  15. M.A. Barja, R. Pardini, L. Stoppino, Higher dimensional Clifford-Severi equalities,  Communications in Contemporary Mathematics, Volume No.22, Issue No. 08.  173-190. https://dx.doi.org/10.1142/S0219199719500792  arXiv: 1806.03005
  16. M. Franciosi, R. Pardini, S. Rollenske, Gorenstein stable Godeaux  surfaces, Selecta Mathematica 24 (4) (2018) 3349-3379, DOI:10.1007/s00029-017-0342-6. arXiv:1806.03005
  17. M. Franciosi, R. Pardini, S. Rollenske,  (d,d')-elliptic curves of genus two, Arkiv för Matematik 56 (2018), 299-317.  arXiv:1611.06756
  18. M.A. Barja, R. Pardini, L. Stoppino, The eventual paracanonical map of a variety of maximal Albanese dimension, Algebraic Geometry 6 (3) (2019) 302-311. doi:10.14231/AG-2019-014. arXiv: 1606.03301
  19. M.A. Barja, R. Pardini, L. Stoppino, Linear systems on irregular varieties, Journal of the Institute of Mathematics of Jussieu, 1-39. doi:10.1017/S1474748019000069  arXiv: 1606.03290
  20. M. Franciosi, R. Pardini, S. Rollenske, Gorenstein stable surfaces with K_X^2 =1 and p_g>0, Math. Nachr. 290 (5-6) (2017), 794-814. arXiv:1511.03238
  21. M.A. Barja, R. Pardini, L. Stoppino, Surfaces on the Severi line,  J.M.P.A, 105  no. 5 (2016),  734–743. http://dx.doi.org/10.1016/j.matpur.2015.11.012 arXiv:1504.06590
  22. M. Mendes Lopes, R. Pardini, Godeaux surfaces with an Enriques involution and some stable degenerations, in "From Classical to ModernAlgebraic Geometry - Corrado Segre's Mastership and Legacy", Casnati et al. editors, Trends in the History of Science, Birkhäuser (2016). arXiv:1502.04621
  23. M. Franciosi, R. Pardini, S. Rollenske, Computing invariants of semi-log-canonical surfaces,  Math. Z.  vol. 280,  1107-1123 (2015). arXiv:1404.3548
  24. M. Franciosi, R. Pardini, S. Rollenske, Log-canonical pairs and Gorenstein stable surfaces  with K^2_X=1, Comp. Math, vol. 151, p. 1529-1542 (2015). arXiv:1403.2159
  25. C. Ciliberto,  M. Mendes Lopes, R. Pardini, The classification of minimal irregular surfaces of general type with K^2= 2p_g, Algebraic Geometry 1 (2014) no. 4, 479-488. arXiv:1307.6228
  26. C. Ciliberto,  M. Mendes Lopes, R. Pardini, Abelian varieties in Brill-Noether loci,  Advances in Mathematics  257C  (2014),  349-364.  doi: 10.1016/j.aim.2014.02.024. arXiv:1307.4771
  27. M. Mendes Lopes, R. Pardini and G.P. Pirola,  Brill-Noether loci for divisors on irregular varieties, Journal of the European Mathematical Society 16 (2014) no. 10, 2033–2057. arXiv:1112.6357
  28. V. Alexeev, R. Pardini, On the existence of ramified abelian covers,  Rend. Sem. Mat.  Univ. Politec. Torino vol. 71 3-4 (2013), 307-315. arXiv:1210.6174
  29. 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,  Geometry & Topology, vol. 17 (2013), 1205-1223. doi: 10.2140/gt.2013.17.1205. arXiv:1207.4516
  30. M. Mendes Lopes, R. Pardini, A uniform bound on the canonical degree of Albanese defective curves on surfaces,  Bull. Lond. Math. Soc. 44, no. 6 (2012), 1182–1188.  doi:10.1112/blms/bds043. arXiv:1103.4292
  31. V. Alexeev, R. Pardini, Non-normal abelian covers, Compositio Mathematica 148 no. 4  (2012),  1051-1084. arXiv:1102.4184
  32. 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 
  33. 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
  34. M. Mendes Lopes, R. Pardini and G.P. Pirola, On surfaces of general type with $q=5$, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 11  no. 4 (2012), 999–1007. arXiv:1003.5991
  35. 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
  36.  V. Alexeev, R. Pardini, Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces. arXiv:0901.4431
  37. 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
  38. M. Mendes Lopes, R. Pardini, On surfaces with $p_g=2q-3$, Adv. in Geom.  10 (3) (2010)  549–555. arXiv:0811.0390
  39. 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
  40. A. Calabri, M. Mendes Lopes, R. Pardini, Involutions on numerical Campedelli surfaces, Tohoku Math. J. 60, no.1 (2008), 1-22. arXiv:math/0511391
  41. 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
  42. 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. arXiv:math/0512483 
  43. M. Mendes Lopes, R. Pardini, Numerical Campedelli surfaces with fundamental group of order 9, J.E.M.S. 10 (2) (2008), 457-476. arXiv:math/0602633 
  44. 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. arXiv:math/0505231  
  45. 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. arXiv:math/0605733 
  46. C.D. Hacon, R.Pardini, Birational characterization of products of curves of genus 2, Math. Res. Lett. 12 1 (2005), 129-140. arXiv:math/0402296
  47. R.Pardini, The Severi inequality $K^2\ge 4\chi$ for surfaces of maximal Albanese dimension,  Invent. math. 159  3 (2005), 669 - 672. arXiv:math/0403170 
  48. 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. arXiv:math/0304181 
  49. M. Mendes Lopes, R.Pardini, Surfaces with $p_g=0$, $K^2=6$ and non birational  bicanonical  map, Math. Ann. 329 (2004), 535-552. arXiv:math/0301138 
  50. 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. arXiv:math/0111160 
  51. C. Ciliberto, R. Pardini, F. Tovena, Regular canonical covers, Math. Nachrichten 251 (2003), 19-27. arXiv:math/0110080 
  52. M. Mendes Lopes, R. Pardini, Enriques surfaces with eight nodes, Math. Zeit.  241 4 (2002), 673-683. arXiv:math/0110122 
  53. 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.  arXiv:math/0107100 
  54. C.D. Hacon, R. Pardini, Surfaces with $p_g=q=3$, Trans. Amer. Math. Soc. 354 (7) (2002), 2631-2638. arXiv:math/0104048 
  55. C.D. Hacon, R. Pardini, On the birational geometry of varieties of maximal Albanese dimension,  J. reine angew. Math. 546 (2002), 177-199. arXiv:math/0105070
  56. I. Dolgachev, M. Mendes Lopes, R. Pardini, Rational surfaces with many nodes,  Compositio Mathematica,  132 (2002), 349-363. arXiv:math/0011087
  57. 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. arXiv:math/0202187 
  58. M. Mendes Lopes, R. Pardini,  A connected component of the moduli space of surfaces  with $p_g=0$, Topology  40 (5)  (2001), 977-991. arXiv:math/9910012  
  59. 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. arXiv:math/9910074 
  60. 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.   arXiv:math/0005257   
  61. M. Mendes Lopes, R. Pardini, Triple canonical surfaces of minimal degree, International J. Math. 11 no. 4 (2000), 553-578. arXiv:math/9807006
  62. M. Mendes Lopes, R. Pardini, Irregular canonical double surfaces, Nagoya Math. J.  152  (1998), 203-230. arXiv:alg-geom/9611030
  63. R. Pardini,  On the period map of abelian covers of projective varieties, Ann.  Scuola Norm. Sup.  Pisa Cl. Sci. (4)  XXVI (1998), 719-735. arXiv:alg-geom/9606002  
  64. B. Fantechi, R. Pardini,  On the Hilbert scheme of curves in higher-dimensional projective space, Manuscripta Math. 90 (1996), 1-15.  arXiv:alg-geom/9501009
  65. 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. arXiv:alg-geom/9410006
  66. 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.
  67. R. Pardini, F. Tovena, On the fundamental group of an abelian cover,   International  J.  Math.  6 no. 5 (1995), 767-789. arXiv:alg-geom/9305011 
  68. R. Pardini, Some remarks on varieties with projectively isomorphic hyperplane sections, Geom.  Dedicata  52  (1994),  15-32. 
  69. R. Pardini,  Canonical images of surfaces, J. reine angew. Math.   417 (1991), 215-219.
  70. R. Pardini,  Abelian covers of algebraic varieties,   J. reine angew. Math.  417 (1991), 191-213.
  71. R. Pardini,  Triple covers in positive characteristic,  Ark. Mat.  27 (1989), 319-341.
  72. R. Pardini, Infinitesimal Torelli and abelian covers of algebraic surfaces, Symposia Mathematica I.N.D.A.M., vol.  XXXII, Academic Press (1991), 247-257. 
  73. R. Pardini,  Some remarks on plane curves over fields of positive characteristic, Comp. Math.  60 (1986), 3-17.