· 2012· Preprint
Uniform bounds and symbolic powers on smooth varieties
- 219citations
- 2012year
Short summary
Multiplier ideals establish effective uniform bounds on the multiplicative behavior of ideal sheaves on smooth algebraic varieties, leading to a surprising result on symbolic powers of radical ideals.
AI-generated from the title and abstract; the full text is not read.
Key points
- Multiplier ideals are employed to establish uniform bounds on ideal sheaves.
- These bounds apply to the multiplicative behavior of ideal sheaves.
- A significant result is obtained regarding the symbolic powers of radical ideals.
- The findings are specifically for smooth algebraic varieties.
AI-generated from the title and abstract; the full text is not read.
Abstract
The purpose of this note is to show how one can use multiplier ideals to establish effective uniform bounds on the multiplicative behavior of certain families of ideal sheaves on a smooth algebraic variety. In particular, we prove a quick but rather surprising result concerning the symbolic powers of radical ideals on such a variety.
The authors' abstract, as published at the source., 2012 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics