DIMENSIONS OF PRYM DIFFERENTIALS SPACES WITH VARIABLE DIVISORS
Abstract
Spaces of meromorphic abelian differentials on a compact Riemann surface with punctures find application in
theoretical physics and in the equations of mathematical physics.
In V. V. Chuyeshev's work , ( ) k ir D dimensions of Wkr(D) spaces, consisting of Prym meromorphic k -
differentials for the character r , multiple to a divisor D on F, when degD = (2g - 2)k, k ³ 0,k Î N , have beenfound.
In this article dimensions , ( ) k ir D for any divisors D for the character r , both of positive, and negative variable
degrees, have been found.
theoretical physics and in the equations of mathematical physics.
In V. V. Chuyeshev's work , ( ) k ir D dimensions of Wkr(D) spaces, consisting of Prym meromorphic k -
differentials for the character r , multiple to a divisor D on F, when degD = (2g - 2)k, k ³ 0,k Î N , have beenfound.
In this article dimensions , ( ) k ir D for any divisors D for the character r , both of positive, and negative variable
degrees, have been found.
References
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2. Dick, R. Krichever - Novikov - like Bases on Punctured Riemann Surfaces / R. Dick // Notkestrasse 85, 2 Hamburg 52. Deutsches Elektronen - synchrotron (DESY) 89-059, May 1989.
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4. Чуешев, В. В. Мультипликативные функции и дифференциалы Прима на переменной компактной ри мановой поверхности. - Ч. 2. / В. В. Чуешев. - Кемерово: КемГУ, 2003.
5. Чуешев, В. В. Геометрическая теория функций на компактной римановой поверхности / В. В. Чуешев. - Кемерово: КемГУ, 2005.
Review
For citations:
Komarova M.V. DIMENSIONS OF PRYM DIFFERENTIALS SPACES WITH VARIABLE DIVISORS. The Bulletin of Kemerovo State University. 2012;(4-2):83-88. (In Russ.)
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