@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}, mrnumber = {2060598}, zbl = {1078.14083}, language = {en}, url = {http://www.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://www.numdam.org/item/AFST_2003_6_12_4_517_0/ 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 %U http://www.numdam.org/item/AFST_2003_6_12_4_517_0/ %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, Série 6, Tome 12 (2003) no. 4, pp. 517-531. http://www.numdam.org/item/AFST_2003_6_12_4_517_0/
[1] On the difference x3 - y2, Norske Vid. Selsk. Forh. (Trondheim ) 38, p. 65-69 (1965). | MR | Zbl
, , , JR., ,[2] On f3(t) - g2(t), Norske Vid. Selsk. Forh. (Trondheim)38, p. 86-87 (1965). | MR | Zbl
,[3] Orientations complexes des courbes algébriques reelles, Thèse doctorale, Univ. Rennes -1 (2000).
,[4] Estimation du genre slice d'un entrelacs, applications aux courbes algébriques réelles, Thèse doctorale, Univ. Paul Sabatier, Toulouse ( 2001 ).
,[5] Construction of new M-curves of 9th degree , Lect. Notes. Math 1524, p. 296-306 (1991). | MR | Zbl
,[6] 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] Link theory and oval arrangements of real algebraic curves, Topology 38, p. 779-810 (1999). | MR | Zbl
,[8] 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] 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] 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] Polynomial identities and Hauptmoduln , Quart. J. Math (2)32, p. 349-370 (1981). | MR | Zbl
,[12] Progress in the topology of real algebraic varieties over the last six years, Russian Math. Surveys 41, p. 55-82 (1986). | MR | Zbl
,[13] Real algebraic plane curves: constructions with controlled topology, Leningrad J. Math. 1, p. 1059-1134 (1990). | MR | Zbl
,[14] 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
,