✦ LIBER ✦

Tight closure and strong test ideals

✍ Scribed by Craig Huneke

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 556 KB
Volume: 122
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(97)00053-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Tight closure of parameter ideals

✍ K. E. Smith 📂 Article 📅 1994 🏛 Springer-Verlag 🌐 English ⚖ 1009 KB

Strong test ideals

✍ Adela Vraciu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 127 KB

We prove that the test ideal is a strong test ideal whenever it commutes with completion. Additional constructions of strong test ideals are considered.

The Tight Integral Closure of a Set of I

The Tight Integral Closure of a Set of Ideals

✍ Melvin Hochster 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 172 KB

This paper celebrates the enormous contributions of David Buchsbaum to commutative algebra, homological algebra, and representation theory, with grateful appreciation for the inspiration he has provided for myself and so many others. © 2000 Academic Press \* or \* . We shall write J for the integral

*-Independence and Special Tight Closure

✍ Adela Vraciu 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 180 KB

Tight Closure and Differential Simplicit

Tight Closure and Differential Simplicity

✍ William N. Traves 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 143 KB

The behavior of the Hasse-Schmidt algebra under étale extension is used to show that the Hasse-Schmidt algebra of a smooth algebra of finite type over a field equals the ring of differential operators. These techniques show that the formation of Hasse-Schmidt derivations does not commute with locali

Tight closure and projective bundles

✍ Holger Brenner 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 315 KB

We formulate problems of tight closure theory in terms of projective bundles and subbundles. This provides a geometric interpretation of such problems and allows us to apply intersection theory to them. This yields new results concerning the tight closure of a primary ideal in a two-dimensional grad