Degenerations of generalized KNN algebras on tori
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. AMS subject classification (1991): 17B66, 17B90, 14F10, 14H52, 30F30, 81T40
 Publication:

arXiv eprints
 Pub Date:
 February 1992
 arXiv:
 arXiv:alggeom/9202014
 Bibcode:
 1992alg.geom..2014S
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 21 pages, amstex