Strebel differentials on families of hyperelliptic curves
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 121-130.

Voir la notice de l'article provenant de la source Math-Net.Ru

Our paper is devoted to Strebel pairs on families of hyperelliptic curves. We provide a complete proof of the fact that constructed differentials are Strebel and point out the connections between the introduced constructions and classical objects of complex algebraic geometry.
@article{FPM_2007_13_6_a5,
     author = {I. V. Artamkin and Yu. A. Levitskaya and G. B. Shabat},
     title = {Strebel differentials on families of hyperelliptic curves},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {121--130},
     publisher = {mathdoc},
     volume = {13},
     number = {6},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a5/}
}
TY  - JOUR
AU  - I. V. Artamkin
AU  - Yu. A. Levitskaya
AU  - G. B. Shabat
TI  - Strebel differentials on families of hyperelliptic curves
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2007
SP  - 121
EP  - 130
VL  - 13
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a5/
LA  - ru
ID  - FPM_2007_13_6_a5
ER  - 
%0 Journal Article
%A I. V. Artamkin
%A Yu. A. Levitskaya
%A G. B. Shabat
%T Strebel differentials on families of hyperelliptic curves
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2007
%P 121-130
%V 13
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a5/
%G ru
%F FPM_2007_13_6_a5
I. V. Artamkin; Yu. A. Levitskaya; G. B. Shabat. Strebel differentials on families of hyperelliptic curves. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 121-130. http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a5/

[1] Amburg N. Ya., “Primer regulyarnogo shtrebeleva differentsiala”, Uspekhi mat. nauk, 57:5 (2002), 149 | MR

[2] Artamkin I. V., Levitskaya Yu. A., Shabat G. B., “Primery semeistv shtrebelevykh differentsialov na giperellipticheskikh krivykh” (to appear)

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

[4] Shabat G. B., “Kompleksnyi analiz i detskie risunki”, Kompleksnyi analiz v sovremennoi matematike, Mir, M., 2001, 253–264 | MR

[5] Shafarevich I. R., Osnovy algebraicheskoi geometrii, Nauka, M., 1972 | MR | Zbl

[6] Douady A., Hubbard J., “On the density of Strebel differentials”, Invent. Math., 30 (1975), 175–179 | DOI | MR | Zbl

[7] Strebel K., Quadratic Differentials, Springer, Berlin, 1984 | MR