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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 030, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.030 (Mi sigma487) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Baker–Akhiezer Modules on Rational Varieties

Irina A. Melnika, Andrey E. Mironovb

a Novosibirsk State University, 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia
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DOI: https://doi.org/10.3842/SIGMA.2010.030
Abstract: The free Baker–Akhiezer modules on rational varieties obtained from $\mathbb CP^1\times\mathbb CP^{n-1}$ by identification of two hypersurfaces are constructed. The corollary of this construction is the existence of embedding of meromorphic function ring with some fixed pole into the ring of matrix differential operators in $n$ variables.
Keywords: commuting differential operators; Baker–Akhiezer modules.
Received: January 5, 2010; in final form April 3, 2010; Published online April 7, 2010
Bibliographic databases:
Document Type: Article
MSC: 14H70; 35P30
Language: English
Citation: Irina A. Melnik, Andrey E. Mironov, “Baker–Akhiezer Modules on Rational Varieties”, SIGMA, 6 (2010), 030, 15 pp.
Citation in format AMSBIB
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