
SIGMA 6 (2010), 030, 15 pages
arXiv:1004.1009
https://doi.org/10.3842/SIGMA.2010.030
BakerAkhiezer Modules on Rational Varieties
Irina A. Melnik ^{a} and Andrey E. Mironov ^{b}
^{a)} Novosibirsk State University, 630090 Novosibirsk, Russia
^{b)} Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia
Received January 05, 2010, in final form April 03, 2010; Published online April 07, 2010
Abstract
The free BakerAkhiezer modules on rational varieties obtained from
CP^{1}×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.
Key words:
commuting differential operators; BakerAkhiezer modules.
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