A class of rational surfaces with a non-rational singularity explicitly given by a single equation

The family of algebraic surfaces X dened by the single equation zn = (y a1x) (y anx)(x 1) over an algebraically closed eld k of characteristic zero, where a1; : : : ; an 2 k are distinct, is studied. It is shown that this is a rational surface with a non-rational singularity at the origin. The ideal...

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Bibliographic Details
Other Authors: Harmon, Drake.
Format: Others
Language:English
Published: Florida Atlantic University
Subjects:
Online Access:http://purl.flvc.org/fcla/dt/3360782