Title: An algebraic characterization of the affine plane
Abstract:M a r c h 16, 1 9 7 4 ; R e v is e d M a y 7, 1974) . Statements o f resultsC. P. Ramanujam [9] characterized th e a ffin e p la n e o v er the complex field as follows : Let X be a non-singular algeb...M a r c h 16, 1 9 7 4 ; R e v is e d M a y 7, 1974) . Statements o f resultsC. P. Ramanujam [9] characterized th e a ffin e p la n e o v er the complex field as follows : Let X be a non-singular algebraic surface w hich is contractible an d sim p ly c o n n e c te d a t in fin ity .T h e n X is isomorphic to th e affin e tw o space a s a n a lg e b ra ic v a rie ty .The p urp o se o f th e p re se n t article is to prove t h e following algebraic characterizations of the affine plane.Read More