- 92-12 Martin Schlichenmaier
- Degenerations of generalized Krichever Novikov algebras on tori
(55K, amstex)
Feb 17, 92
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Abstract. 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.
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