Geodesic
Examples of Families of Strebel Differentials on Hyperelliptic Curves
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 2, pp. 73-75 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper contains an explicit construction of Strebel differentials on one-parameter families of hyperelliptic curves of even genus. Descriptions of the corresponding separatrices are presented.
Keywords: Riemann surface, Strebel differential, Abelian integral. 
@article{FAA_2009_43_2_a5,
     author = {I. V. Artamkin and Yu. A. Levitskaya and G. B. Shabat},
     title = {Examples of {Families} of {Strebel} {Differentials} on {Hyperelliptic} {Curves}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {73--75},
     year = {2009},
     volume = {43},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a5/}
}
TY  - JOUR
AU  - I. V. Artamkin
AU  - Yu. A. Levitskaya
AU  - G. B. Shabat
TI  - Examples of Families of Strebel Differentials on Hyperelliptic Curves
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2009
SP  - 73
EP  - 75
VL  - 43
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a5/
LA  - ru
ID  - FAA_2009_43_2_a5
ER  - 
%0 Journal Article
%A I. V. Artamkin
%A Yu. A. Levitskaya
%A G. B. Shabat
%T Examples of Families of Strebel Differentials on Hyperelliptic Curves
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2009
%P 73-75
%V 43
%N 2
%U http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a5/
%G ru
%F FAA_2009_43_2_a5
I. V. Artamkin; Yu. A. Levitskaya; G. B. Shabat. Examples of Families of Strebel Differentials on Hyperelliptic Curves. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 2, pp. 73-75. http://geodesic.mathdoc.fr/item/FAA_2009_43_2_a5/

[1] J. A. Jenkins, Ann. of Math., 66 (1957), 440–453 | DOI | MR | Zbl

[2] K. Strebel, Quadratic Differentials, Springer-Verlag, Berlin, 1984 | MR | Zbl

[3] A. Douady, J. Hubbard, Invent. Math., 30:2 (1975), 175–179, Springer-Verlag | DOI | MR

[4] N. Ya. Amburg, UMN, 57:5 (2002), 145–146 | DOI | MR | Zbl

[5] F. Griffits, Dzh. Kharris, Printsipy algebraicheskoi geometrii, Mir, M., 1982 | MR