Veronese subrings and tight closure

2002/10/07 by Anurag K. Singh
Mathematics · #math.AC #msc:13A35 #msc:13H10

paper · pdf

published as Pacific Journal of Mathematics, 192 (2000) 399-413

arxiv created 2002/10/07 · arxiv updated 2009/11/30

Abstract

We determine when graded rings have F-rational or F-regular Veronese subrings, and develop techniques of constructing F-rational rings which are not F-regular.

Related

• Initial ideals, Veronese subrings, and rates of algebras
• Tight closure in non-equidimensional rings
• The Dual F-Signature of Veronese Rings
• Dual F-signatures of Veronese subrings and Segre products of polynomial rings
• Flat morphisms with regular fibers do not preserve F-rationality