List of publications

Ilia Itenberg

  1. Rigid isotopy classification of the simplest degenerations of M-curves of degree 6,
    Vestnik Len. Univ. Ser.1, v.3 (1991), no. 15, 32 - 37. (in Russian)

  2. Curves of degree 6 with one non-degenerate double point and groups of monodromy of non-singular curves,
    Lecture Notes in Mathematics, 1524, Real Algebraic Geometry, Proceedings, Rennes 1991 (1992), 267 - 288.

  3. Contre-exemples à la conjecture de Ragsdale,
    C. R. Acad. Sci. Paris, 317, Sér. I (1993), 277 - 282.

  4. Rigid isotopy classification of curves of degree 6 with one nondegenerate double point,
    Adv. in Sov. Math. 18 (1994), 193 - 208.

  5. (joint with E. Shustin) Newton polygons and singular points of real polynomial vector fields,
    C. R. Acad. Sci. Paris, 319, Sér. I (1994), 963 - 968.

  6. Groups of monodromy of non-singular curves of degree 6,
    W. de Gruyter. Real Analytic and Algebraic Geometry, Proceedings, Trento 1992 (1995), 161 - 168.

  7. Counter-examples to Ragsdale conjecture and T-curves,
    Cont. Math. 182. Proceedings, Michigan 1993 (1995), 55 - 72.

  8. Viro's method and T-curves,
    Progress in Math. 143. Proceedings, MEGA 94 (1996), 177 - 192.

  9. (joint with D. Fomin and S. Genkin) Mathematical circles.
    Mathematical World 7. AMS. 1996.

  10. (joint with V. Kharlamov) Towards the maximal number of components of a non-singular surface of degree 5 in RP3,
    Amer. Math. Soc. Transl. (2) 173 (1996), 111 - 118.

  11. (joint with E. Shustin) Real algebraic curves with real cusps,
    Amer. Math. Soc. Transl. (2) 173 (1996), 97 - 109.

  12. (joint with O. Viro) Patchworking algebraic curves disproves the Ragsdale conjecture,
    Math. Intelligencer 18 (1996), no. 4, 19 - 28.

  13. (joint with M.-F. Roy) Multivariate Descartes' rule,
    Beiträge zur Algebra und Geometrie 37 (1996), no. 2, 337 - 346.

  14. Topology of real algebraic T-surfaces,
    Revista Mat. de la Univ. Compl. de Madrid 10 (1997), 131 - 152.

  15. (joint with M.-F. Roy) Interactions between real algebraic geometry and discrete and computational geometry,
    Advances in Discrete and Computational Geometry (B. Chazelle, J.E. Goodman and R. Pollack, eds.), Contemporary Mathematics, AMS, Providence (1999), 217-236.

  16. (joint with E. Shustin) Singular points and limit cycles of planar polynomial vector fields,
    Duke Math. Journal 102 (2000), no. 1, 1 - 37.

  17. (joint with A. Degtyarev and V. Kharlamov) Real Enriques surfaces.
    Lecture Notes in Math. vol. 1746, Springer-Verlag, Berlin Heidelberg, 2000.

  18. On the number of even ovals of a nonsingular curve of an even degree in RP2,
    Amer. Math. Soc. Transl. ser. 2, vol. 202 (2001), 121 - 129.

  19. (joint with V. Itenberg) Symmetric sextics in the real projective plane and auxiliary conics,
    Zapiski Nauch. Sem. POMI 279 (2001), Geometry and Topology 6, 154 - 167. (in Russian)

  20. (joint with E. Shustin) Combinatorial patchworking of real pseudo-holomorphic curves,
    Turkish J. Math. 26 (2002), no. 1, 27 - 51.

  21. (joint with E. Shustin) Viro theorem and topology of real and complex combinatorial hypersurfaces,
    Israel Math. J. 133 (2003), 189 - 238.

  22. (joint with V. Kharlamov and E. Shustin) Welschinger invariant and enumeration of real rational curves,
    Intern. Math. Research Notices 49 (2003), 2639 - 2653.

  23. (joint with E. Shustin) Critical points of real polynomials and topology of real algebraic T-surfaces
    Geom. Dedicata. 101 (2003), no. 1, 61 - 91.

  24. (joint with V. Kharlamov and E. Shustin) Appendix to "Welschinger invariant and enumeration of real rational curves",
    Preprint arXiv: math.AG/ 0312142, 2003, 1 - 12. (pdf, ps)

  25. Amibes de variétés algébriques et dénombrement de courbes [d'après G. Mikhalkin],
    Séminaire Bourbaki, 2002 - 2003, exp. n° 921, Astérisque 294 (2004), 335 - 361.

  26. (joint with A. Degtyarev and V. Kharlamov) Finiteness and quasi-simplicity for symmetric K3-surfaces
    Duke Math. J. 122 (2004), no. 1, 1 - 49.

  27. (joint with V. Kharlamov and E. Shustin) Logarithmic equivalence of Welschinger and Gromov-Witten invariants,
    Uspehi Mat. Nauk 59 (2004), no. 6, 85 - 110. (in Russian).
    English version: Russian Math. Surveys 59 (2004), no. 6, 1093 - 1116.

  28. (joint with V. Kharlamov and E. Shustin) Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane,
    Geometry and Topology 9 (2005), 483 - 491.

  29. Construction of real algebraic varieties,
    Géométrie au XX-ème siècle, Histoire et horizons (Ed.: J. Kouneiher, D. Flament, P. Nabonnand, J.-J. Szczeciniarz). Hermann Editeurs, 2005, pp. 362 - 376.

  30. (joint with G. Mikhalkin and E. Shustin) "Tropical Algebraic Geometry",
    Birkhäuser, Oberwolfach Seminars Series, Vol. 35, 2007.

  31. (joint with O. Viro) Asymptotically maximal real algebraic hypersurfaces of projective space,
    Proceedings of Gökova Geometry/Topology conference 2006, International Press (2007), 91 - 105.

  32. (joint with A. Degtyarev, T. Ekedahl, B. Shapiro, and M. Shapiro), On total reality of meromorphic functions,
    Annales de l'institut Fourier, 57 no. 6 (2007), 2015 - 2030.

  33. (joint with A. Degtyarev and V. Kharlamov) Deformation finiteness for real hyperkähler manifolds,
    Moscow Mathematical Journal 7 (2007), no. 2.

  34. (joint with V. Kharlamov and E. Shustin) New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants,
    Proc. Steklov Inst. Math. 258 (2007), 65 - 73.

  35. (joint with A. Degtyarev and V. Kharlamov) On deformation types of real elliptic surfaces,
    American Journal of Mathematics 130 (2008), no. 6, 1561 - 1627.

  36. Introduction à la géométrie tropicale, In: "Géométrie tropicale" (ed.: P. Harinck, A. Plagne, and C. Sabbah), Journées mathématiques X-UPS 2008, Editions de l'Ecole Polytechnique, 2008, pp. 1 - 25.

  37. (joint with V. Kharlamov and E. Shustin) A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces,
    Commentarii Math. Helvetici 84 (2009), no. 1, 87 - 126.

  38. (joint with A. Degtyarev and V. Kharlamov) On the number of components of a complete intersection of real quadrics,
    Preprint arXiv:0806.4077, 2008, 1 - 21 (pdf, ps).

  39. (joint with O. Viro) Maximal real algebraic hypersurfaces of projective space,
    (in preparation).