Degenerations of generalized KNN algebras on tori

Details Degenerations of generalized KNN algebras on tori Degenerations of generalized KNN algebras on tori

1992-02-17

arxiv.org/abs/alg-geom/9202014v1

Mathematics

Algebraic Geometry

21 pages, amstex

Scientific paper

Degenerations of Lie algebras of meromorphic vector fields on elliptic curves (i.e. complex tori) which are holomorphic outside a certain set of points (markings) are studied. By an algebraic geometric degeneration process certain subalgebras of Lie algebras of meromorphic vector fields on P^1 the Riemann sphere are obtained. In case of some natural choices of the markings these subalgebras are explicitly determined. It is shown that the number of markings can change. AMS subject classification (1991): 17B66, 17B90, 14F10, 14H52, 30F30, 81T40

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