English

Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings

Commutative Algebra 2007-05-23 v1 Algebraic Geometry

Abstract

In this article we investigate when a complete ideal in a two-dimensional regular local ring is a multiplier ideal of some ideal with an integral multiplying parameter. In particular, we show that this question is closely connected to the Gorenstein property of the blowup along the ideal.

Keywords

Cite

@article{arxiv.math/0601327,
  title  = {Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings},
  author = {Eero Hyry and Yukio Nakamura and Lauri Ojala},
  journal= {arXiv preprint arXiv:math/0601327},
  year   = {2007}
}

Comments

To appear in Math.Z

R2 v1 2026-07-22T17:29:58.821Z