International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 2, Pages 231-240
doi:10.1155/S0161171285000254

Seminormal graded rings and weakly normal projective varieties

John V. Leahy1 and Marie A. Vitulli2

1Institute of Theoretical Sciences, Department of Mathematics, University of Oregon, Eugene 97403, Oregon, USA
2Department of Mathematics, University of Oregon, Eugene 97403, Oregon, USA

Received 4 March 1983

Copyright © 1985 John V. Leahy and Marie A. Vitulli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is concerned with the seminormality of reduced graded rings and the weak normality of projective varieties. One motivation for this investigation is the study of the procedure of blowing up a non-weakly normal variety along its conductor ideal.