no. 4
Riemann existence theorem and construction of real algebraic curves
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 12 (2003) no. 4, pp. 517-531. 
@article{AFST_2003_6_12_4_517_0,
     author = {Orevkov, Stepan Yu.},
     title = {Riemann existence theorem and construction of real algebraic curves},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {517--531},
     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
     address = {Toulouse},
     volume = {Ser. 6, 12},
     number = {4},
     year = {2003},
     zbl = {1078.14083},
     mrnumber = {2060598},
     language = {en},
     url = {http://archive.numdam.org/item/AFST_2003_6_12_4_517_0/}
}
TY  - JOUR
AU  - Orevkov, Stepan Yu.
TI  - Riemann existence theorem and construction of real algebraic curves
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 2003
SP  - 517
EP  - 531
VL  - 12
IS  - 4
PB  - Université Paul Sabatier, Institut de mathématiques
PP  - Toulouse
UR  - http://archive.numdam.org/item/AFST_2003_6_12_4_517_0/
UR  - https://zbmath.org/?q=an%3A1078.14083
UR  - https://www.ams.org/mathscinet-getitem?mr=2060598
LA  - en
ID  - AFST_2003_6_12_4_517_0
ER  - 
%0 Journal Article
%A Orevkov, Stepan Yu.
%T Riemann existence theorem and construction of real algebraic curves
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 2003
%P 517-531
%V 12
%N 4
%I Université Paul Sabatier, Institut de mathématiques
%C Toulouse
%G en
%F AFST_2003_6_12_4_517_0
Orevkov, Stepan Yu. Riemann existence theorem and construction of real algebraic curves. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 12 (2003) no. 4, pp. 517-531. http://archive.numdam.org/item/AFST_2003_6_12_4_517_0/

[1] Birch (B.J. ), Chowla (S.), Hall (M.), JR., Schinzel (A.), On the difference x3 - y2, Norske Vid. Selsk. Forh. (Trondheim ) 38, p. 65-69 (1965). | MR | Zbl

[2] Davenport ( H.), On f3(t) - g2(t), Norske Vid. Selsk. Forh. (Trondheim)38, p. 86-87 (1965). | MR | Zbl

[3] Fied;Er-Le Touzé ( S.), Orientations complexes des courbes algébriques reelles, Thèse doctorale, Univ. Rennes -1 (2000).

[4] Florens (V. ), Estimation du genre slice d'un entrelacs, applications aux courbes algébriques réelles, Thèse doctorale, Univ. Paul Sabatier, Toulouse ( 2001 ).

[5] Korchagin ( A.B. ), Construction of new M-curves of 9th degree , Lect. Notes. Math 1524, p. 296-306 (1991). | MR | Zbl

[6] Korchagin ( A.B. ), Smoothing of 6-fold singular points and constructions of 9th degree M-curves, Amer. Math. Soc. Transl. (2) 173, p. 141-155 (1996). | MR | Zbl

[7] Orevkov (S.Yu. ), Link theory and oval arrangements of real algebraic curves, Topology 38, p. 779-810 (1999). | MR | Zbl

[8] Orevkov (S.Yu. ), A new affine M-sextic, Funct. Anal. and Appl. 32, (1998 ) p. 141-143; II. Russ. Math. Surv. 53, p. 1099-1101 (1999 ). | MR | Zbl

[9] Orevkov (S.Yu. ), Complex orientations of M-curves of degree 7, in Topology, Ergodic Theory, Real Algebraic Geometry . Rokhlin's Memorial, Amer. Math. Soc. Transl. ser 2 202, p. 215-227. | MR | Zbl

[10] Orevkov (S.Yu. ), Quasipositivity test via unitary representations of braid groups and its applications to real algebraic curves, J. Knot Theory and Ramifications 10, p. 1005-1023 (2001 ). | MR | Zbl

[11] Stothers ( W.W.), Polynomial identities and Hauptmoduln , Quart. J. Math (2)32, p. 349-370 (1981). | MR | Zbl

[12] Viro (O. Ya. ), Progress in the topology of real algebraic varieties over the last six years, Russian Math. Surveys 41, p. 55-82 (1986). | MR | Zbl

[13] Viro (O. Ya. ), Real algebraic plane curves: constructions with controlled topology, Leningrad J. Math. 1, p. 1059-1134 (1990). | MR | Zbl

[14] Zannier ( U.), On Davenport's bound for the degree of f3 - g2 and Riemann's existence theorem, Acta Arithm. 71, p. 107-137 (1995); Addenda, ibid. 74 p. 387 (1996). | MR | Zbl