A note on finite abelian covers

作者：Gao Yun^*

来源：Science China Mathematics, 2011, 54(7): 1333-1342.

DOI：10.1007/s11425-011-4201-1

• abelian cover
• normalization
• irregularity
• the quotient of ball

We prove that any abelian cover over a smooth variety is defined by some cyclic equations. From the defining equations, we compute explicitly the normalization, branch locus, ramification indices, global invariants, and the resolution of singularities. As an application, we construct a new algebraic surface which is the quotient of ball.

• 出版日期2011-7
• 单位上海交通大学