On the question of extremal properties of quadratic differentials with end domains in the structure of trajectories
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 9, Tome 168 (1988), pp. 98-113 Cet article a éte moissonné depuis la source Math-Net.Ru

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One considers the possible definitions of the reduced modules of domains of a special form with respect to corresponding families of curves in these domains. One investigates the role of quadratic differentials, having poles of order $\geq3$, in the problems of the extremal partition of the $z$-sphere, formulated in terms of the introduced definitions.
@article{ZNSL_1988_168_a8,
     author = {G. V. Kuz'mina},
     title = {On the question of extremal properties of quadratic differentials with end domains in the structure of trajectories},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {98--113},
     year = {1988},
     volume = {168},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_168_a8/}
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G. V. Kuz'mina. On the question of extremal properties of quadratic differentials with end domains in the structure of trajectories. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 9, Tome 168 (1988), pp. 98-113. http://geodesic.mathdoc.fr/item/ZNSL_1988_168_a8/