$F$-rationality of Rees algebras

Mitra Koley; Manoj Kummini

$F$-rationality of Rees algebras

Commutative Algebra 2018-10-03 v2

Authors: Mitra Koley , Manoj Kummini

Abstract

In this paper, we study the $F$ -rationality of the Rees algebra and the extended Rees algebra of $\mathfrak{m}$ -primary ideals in excellent local rings $(R, \mathfrak{m})$ of prime characteristic. We partially answer some conjectures and questions raised by N. Hara, K.-i. Watanabe and K.-i. Yoshida (J. Algebra, pp.153--190, vol 247, 2002).

Keywords

rees algebra f-rationality excellent local rings prime characteristic m-primary ideals

Cite

@article{arxiv.1803.05382,
  title  = {$F$-rationality of Rees algebras},
  author = {Mitra Koley and Manoj Kummini},
  journal= {arXiv preprint arXiv:1803.05382},
  year   = {2018}
}

Comments

13 pages; comments welcome

Related papers

View all related →