Departmental Bulletin Paper GALOIS CLOSURE COVERS FOR 5-FOLD COVERS BETWEEN SMOOTH SURFACES AND ITS APPLICATION

Shirane, Taketo

69 ( 2 )  , pp.229 - 257 , 2015-10-13 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
In this paper, we introduce a method for resolving singularities of Galois closure covers for 5-fold covers between smooth surfaces. Applying this method, we determine types of singular fibers of a family of Galois closure curves for plane sextic curves. Consequently,we obtain an explicit construction of smooth projective minimal surfaces of general type with positive indices obtained as families of Galois closure curves of smooth plane sextic curves.

Number of accesses :  

Other information