This article is cited in 2 papers

Baker–Akhiezer Modules on Rational Varieties

Irina A. Melnik^a, Andrey E. Mironov<sup>b

a</sup> Novosibirsk State University, 630090 Novosibirsk, Russia
^b Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia

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.

MSC: 14H70; 35P30

Received: January 5, 2010; in final form April 3, 2010; Published online April 7, 2010

Language: English

DOI: 10.3842/SIGMA.2010.030

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ArXiv: 1004.1009