Geodesic
A Chisini Theorem for almost generic covers of the projective plane
Sbornik. Mathematics, Tome 213 (2022) no. 3, pp. 341-356 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Results related to Chisini's Conjecture and contained in (Izv. Math. 63:6 (1999), 1139–1170) and (Izv. Math. 65:1 (2001), 71–74) are extended to the case of almost generic covers of the projective plane. Bibliography: 11 titles.
Keywords: finite covers of the projective plane
Mots-clés : Chisini's conjecture. 
@article{SM_2022_213_3_a3,
     author = {Vik. S. Kulikov},
     title = {A~Chisini {Theorem} for almost generic covers of the projective plane},
     journal = {Sbornik. Mathematics},
     pages = {341--356},
     year = {2022},
     volume = {213},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2022_213_3_a3/}
}
TY  - JOUR
AU  - Vik. S. Kulikov
TI  - A Chisini Theorem for almost generic covers of the projective plane
JO  - Sbornik. Mathematics
PY  - 2022
SP  - 341
EP  - 356
VL  - 213
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_2022_213_3_a3/
LA  - en
ID  - SM_2022_213_3_a3
ER  - 
%0 Journal Article
%A Vik. S. Kulikov
%T A Chisini Theorem for almost generic covers of the projective plane
%J Sbornik. Mathematics
%D 2022
%P 341-356
%V 213
%N 3
%U http://geodesic.mathdoc.fr/item/SM_2022_213_3_a3/
%G en
%F SM_2022_213_3_a3
Vik. S. Kulikov. A Chisini Theorem for almost generic covers of the projective plane. Sbornik. Mathematics, Tome 213 (2022) no. 3, pp. 341-356. http://geodesic.mathdoc.fr/item/SM_2022_213_3_a3/

[1] W. Barth, C. Peters, A. Van de Ven, Compact complex surfaces, Ergeb. Math. Grenzgeb. (3), 4, Springer-Verlag, Berlin, 1984, x+304 pp. | DOI | MR | Zbl

[2] O. Chisini, “Sulla identita birazionale delle funzioni algebriche di due variabili dotate di una medesima curva di diramazione”, Ist. Lombardo Sci. Lett. Cl. Sci. Mat. Nat. Rend. (3), 8(77) (1944), 339–356 | MR | Zbl

[3] C. Ciliberto, F. Flamini, “On the branch curve of a generic projection of a surface to a plane”, Trans. Amer. Math. Soc., 363:7 (2011), 3457–3471 | DOI | MR | Zbl

[4] Vik. S. Kulikov, “A remark on classical Pluecker's formulae”, Ann. Fac. Sci. Toulouse Math. (6), 25:5 (2016), 959–967 | DOI | MR | Zbl

[5] Vik. S. Kulikov, “On Chisini's conjecture”, Izv. Math., 63:6 (1999), 1139–1170 | DOI | DOI | MR | Zbl

[6] Vik. S. Kulikov, “On Chisini's conjecture. II”, Izv. Math., 72:5 (2008), 901–913 | DOI | DOI | MR | Zbl

[7] Vik. S. Kulikov, “Generalized Chisini's Conjecture”, Proc. Steklov Inst. Math., 241 (2003), 110–119 | MR | Zbl

[8] V. S. Kulikov, “On the almost generic covers of the projective plane”, Pure Appl. Math. Q., 16:4 (2020), 1067–1082 | DOI | MR | Zbl

[9] Vik. S. Kulikov, “On rigid germs of finite morphisms of smooth surfaces”, Sb. Math., 211:10 (2020), 1354–1381 | DOI | DOI | MR | Zbl

[10] Vik. S. Kulikov, “Rigid germs of finite morphisms of smooth surfaces and rational Belyi pairs”, Sb. Math., 212:9 (2021), 1304–1328 | DOI | DOI | MR

[11] S. Yu. Nemirovski, “Kulikov's theorem on the Chisini conjecture”, Izv. Math., 65:1 (2001), 71–74 | DOI | DOI | MR | Zbl