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
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.