A(1)-fibrations on affine threefolds

作者:Gurjar R V*; Masuda K; Miyanishi M
来源:Journal of Pure and Applied Algebra, 2012, 216(2): 296-313.
DOI:10.1016/j.jpaa.2011.06.013

摘要

An A(1)-fibration on an algebraic surface is well understood and plays an important role in the classification of open algebraic surfaces. We consider A(1)-fibrations on higher-dimensional affine algebraic varieties, mostly in the case of affine threefolds and extend the results known in the case of surfaces. Special attention is paid to degenerate fibers of A(1)-fibrations and singularities of the quotient surface by a G(a)-action. We distinguish the quotient morphism by a G(a)-action from an A(1)-fibration. G(a)-actions will give more information on the A(1)-fibration induced by the actions.

  • 出版日期2012-2