List of publications
Ilia Itenberg
-
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)
-
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.
-
Contre-exemples à la conjecture de Ragsdale,
C. R. Acad. Sci. Paris, 317, Sér. I (1993), 277 - 282.
- Rigid isotopy classification of curves of degree 6 with one
nondegenerate
double point,
Adv. in Sov. Math. 18 (1994), 193 - 208.
- (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.
-
Groups of monodromy of non-singular curves of degree 6,
W. de Gruyter. Real Analytic and Algebraic Geometry, Proceedings,
Trento
1992 (1995), 161 - 168.
- Counter-examples to Ragsdale conjecture and T-curves,
Cont. Math. 182. Proceedings, Michigan 1993 (1995), 55 - 72.
- Viro's method and T-curves,
Progress in Math. 143. Proceedings, MEGA 94 (1996), 177 - 192.
-
(joint with D. Fomin and S. Genkin) Mathematical circles.
Mathematical World 7. AMS. 1996.
- (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.
- (joint with E. Shustin) Real algebraic curves with real cusps,
Amer. Math. Soc. Transl. (2) 173 (1996), 97 - 109.
- (joint with O. Viro) Patchworking algebraic curves disproves
the Ragsdale
conjecture,
Math. Intelligencer 18 (1996), no. 4, 19 - 28.
- (joint with M.-F. Roy) Multivariate Descartes' rule,
Beiträge zur Algebra und Geometrie 37 (1996), no. 2, 337 - 346.
- Topology of real algebraic T-surfaces,
Revista Mat. de la Univ. Compl. de Madrid 10 (1997), 131 - 152.
- (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.
- (joint with E. Shustin) Singular points and limit cycles of
planar polynomial
vector fields,
Duke Math. Journal 102 (2000), no. 1, 1 - 37.
- (joint with A. Degtyarev and V. Kharlamov) Real Enriques
surfaces.
Lecture Notes in Math. vol. 1746, Springer-Verlag, Berlin Heidelberg,
2000.
- 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.
- (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)
- (joint with E. Shustin) Combinatorial patchworking of real
pseudo-holomorphic
curves,
Turkish J. Math. 26 (2002), no. 1, 27 - 51.
- (joint with E. Shustin) Viro theorem and topology of real and
complex
combinatorial hypersurfaces,
Israel Math. J. 133 (2003), 189 - 238.
- (joint with V. Kharlamov and E. Shustin) Welschinger
invariant and enumeration
of real rational curves,
Intern. Math. Research Notices 49 (2003), 2639 - 2653.
- (joint with E. Shustin) Critical points of real polynomials
and topology
of real algebraic T-surfaces
Geom. Dedicata. 101
(2003), no. 1, 61 - 91.
- Amibes de variétés algébriques et
dénombrement
de courbes [d'après G. Mikhalkin],
Séminaire Bourbaki, 2002 - 2003, exp. n° 921,
Astérisque 294 (2004), 335 - 361.
- (joint with A. Degtyarev and V. Kharlamov) Finiteness and
quasi-simplicity
for symmetric K3-surfaces
Duke Math. J. 122 (2004), no. 1, 1 - 49.
- (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.
-
(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.
-
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.
-
(joint with G. Mikhalkin and E. Shustin)
"Tropical Algebraic Geometry",
Birkhäuser,
Oberwolfach Seminars Series, Vol. 35, 2007.
-
(joint with O. Viro) Asymptotically maximal real algebraic
hypersurfaces
of projective space,
Proceedings of Gökova Geometry/Topology conference 2006,
International Press (2007), 91 - 105.
-
(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.
-
(joint with A. Degtyarev and V. Kharlamov) Deformation finiteness
for real hyperkähler manifolds,
Moscow Mathematical Journal 7 (2007), no. 2.
-
(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.
-
(joint with A. Degtyarev and V. Kharlamov) On deformation types of
real elliptic surfaces,
American Journal of Mathematics
130 (2008), no. 6, 1561 - 1627.
-
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.
-
(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.
- Géométrie tropicale et
dénombrement de courbes,
Leçons de mathématiques d'aujourd'hui, vol. 4
(Ed.: F. Bayart and E. Charpentier), Cassini, Paris, 2010,
pp. 107 - 125.
-
(joint with A. Degtyarev)
On real determinantal quartics,
arXiv:1007.3028
Proceedings of 17th Gökova Geometry/Topology conference
2010, International Press (2011), 110 - 128.
-
(joint with A. Degtyarev and V. Kharlamov)
On the number of components of a complete intersection of real quadrics,
Proceedings of
the Markus Wallenberg Symposium "Perspectives in Analysis,
Geometry and Topology",
arXiv:0806.4077
Progress in Mathematics 296 (2012), 81 - 108.
-
(joint with G. Mikhalkin)
Geometry in the tropical limit,
MPI-jahrbuch (2011). Extended version:
arXiv:1108.3111
Mathematisches Semesterberichte 59 (2012),
no. 1, 57 - 73 (DOI: 10.1007/s00591-011-0097-7).
-
(joint with G. Mikhalkin)
On Block-Goettsche multiplicities for planar tropical curves,
arXiv:1201.0451
Intern. Math. Research Notices 2013 (2013) 5289 - 5320
(DOI: 10.1093/imrn/rns207).
-
(joint with V. Kharlamov and E. Shustin)
Welschinger invariants of small non-toric Del Pezzo surfaces,
arXiv:1002.1399
Journal of EMS 15 (2013), no. 2, 539 - 594 (DOI: 10.4171/JEMS/367).
-
(joint with V. Kharlamov and E. Shustin)
Welschinger invariants of real Del Pezzo surfaces of degree >=3 ,
arXiv:1108.3369
Math. Annalen 355 (2013), no. 3, 849 - 878 (DOI: 10.1007/s00208-012-0801-5).
-
(joint with A. Degtyarev and V. Zvonilov)
Real trigonal curves and real elliptic surfaces of type I,
arXiv:1102.3414
J. Reine Angew. Math. 686 (2014), 221 - 246.
-
(joint with E. Brugallé, G. Mikhalkin, and K. Shaw)
Brief introduction to tropical geometry,
arXiv:1502.05950
Proceedings of Gökova Geometry/Topology conference 2014,
International Press (2015), 1 - 75.
-
(joint with V. Kharlamov and E. Shustin)
Welschinger invariants of real Del Pezzo surfaces of degree >=2 ,
arXiv:1312.2921
Int. J. Math. 26 (2015), no. 8
(DOI: 10.1142/S0129167X15500603).
-
(joint with A. Degtyarev and A. S. Sertöz)
Lines on quartic surfaces,
arXiv:1601.04238
Math. Annalen 368 (2017), no. 1-2, 753 - 809 (DOI: 10.1007/s00208-016-1484-0).
-
(joint with V. Kharlamov and E. Shustin)
Welschinger invariants revisited,
arXiv:1409.3966,
Analysis Meets Geometry: A Tribute to Mikael Passare,
Trends in Mathematics (2017), 239?260.
-
(joint with G. Mikhalkin and J. Rau)
Rational quintics in the real plane,
arXiv:1509.05228
Trans. Amer. Math. Soc. 370 (2018), 131-196
(DOI: https://doi.org/10.1090/ tran/6938).
-
(joint with L. Katzarkov, G. Mikhalkin and I. Zharkov)
Tropical homology,
arXiv:1604.01838
Math. Ann. (2018),
(DOI
10.1007/s00208-018-1685-9).
-
(joint with V. Kharlamov and E. Shustin)
Relative enumerative invariants of real nodal del Pezzo surfaces,
arXiv:1611.02938
Selecta. Mathematica, New Series 24 (2018), no. 4, 2927 - 2990
(DOI 10.1007/s00029-018-0418-y).
-
(joint with D. Zvonkine)
Hurwitz numbers for real polynomials,
arXiv:1609.05219,
Comm. Math. Helv. 93 (2018), no. 3, 441 - 474.
-
(joint with E. Brugallé, A. Degtyarev, and F. Mangolte)
Real algebraic curves with large finite number of real points,
arXiv:1807.03992,
European J. of Math. (2019), no. 5, 686 - 711.
-
Topology of real algebraic varieties and tropical homology,
Notes
of the lectures at the 5th Franco-Japanese-Vietnamese Symposium on Singularities in Kagoshima,
Singularities - Kagoshima 2017 (2020), 23 - 40.
-
(joint with G. Mikhalkin)
Area in real K3-surfaces,
arXiv:2001.06871,
EMS Surv. Math. Sci. 8 (2021), no. 1/2, 217 - 235.
-
(joint with A. Degtyarev and J. Ch. Ottem)
Planes in cubic fourfolds,
arXiv:2105.13951
(to appear in Algebraic Geometry).