Riemann existence theorem and construction of real algebraic curves

Stepan Yu. Orevkov

Annales de la Faculté des sciences de Toulouse : Mathématiques (2003)

  • Volume: 12, Issue: 4, page 517-531
  • ISSN: 0240-2963

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Orevkov, Stepan Yu.. "Riemann existence theorem and construction of real algebraic curves." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.4 (2003): 517-531. <http://eudml.org/doc/73615>.

@article{Orevkov2003,
author = {Orevkov, Stepan Yu.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
language = {eng},
number = {4},
pages = {517-531},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Riemann existence theorem and construction of real algebraic curves},
url = {http://eudml.org/doc/73615},
volume = {12},
year = {2003},
}

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
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 12
IS - 4
SP - 517
EP - 531
LA - eng
UR - http://eudml.org/doc/73615
ER -

References

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  2. [2] Davenport ( H.), On f3(t) - g2(t), Norske Vid. Selsk. Forh. (Trondheim)38, p. 86-87 (1965). Zbl0136.25204MR186621
  3. [3] Fied;er-Le Touzé ( S.), Orientations complexes des courbes algébriques reelles, Thèse doctorale, Univ. Rennes -1 (2000). 
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  5. [5] Korchagin ( A.B. ), Construction of new M-curves of 9th degree , Lect. Notes. Math1524, p. 296-306 (1991). Zbl0785.14033MR1226261
  6. [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). Zbl0858.14029MR1384314
  7. [7] Orevkov ( S.Yu. ), Link theory and oval arrangements of real algebraic curves, Topology38, p. 779-810 (1999). Zbl0923.14032MR1679799
  8. [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 ). Zbl0932.14035MR1647852
  9. [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 2202, p. 215-227. Zbl0993.14021MR1819190
  10. [10] Orevkov ( S.Yu. ), Quasipositivity test via unitary representations of braid groups and its applications to real algebraic curves, J. Knot Theory and Ramifications10, p. 1005-1023 (2001 ). Zbl1030.20026MR1867106
  11. [11] Stothers ( W.W.), Polynomial identities and Hauptmoduln , Quart. J. Math (2)32, p. 349-370 (1981). Zbl0466.12011MR625647
  12. [12] Viro ( O. Ya. ), Progress in the topology of real algebraic varieties over the last six years, Russian Math. Surveys41, p. 55-82 (1986). Zbl0619.14015MR854239
  13. [13] Viro ( O. Ya. ), Real algebraic plane curves: constructions with controlled topology, Leningrad J. Math.1, p. 1059-1134 (1990). Zbl0732.14026MR1036837
  14. [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). Zbl0840.11015MR1339121

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