Bounding symbolic powers via asymptotic multiplier ideals

Details Bounding symbolic powers via asymptotic multiplier ideals Bounding symbolic powers via asymptotic multiplier ideals

2009-07-23

arxiv.org/abs/0907.4045v3

Ann. Univ. Pedagog. Crac. Stud. Math. 8 (2009), 67--77

Mathematics

Algebraic Geometry

10 pages. Primarily exposition. Originally written as appendix to lecture notes by Brian Harbourne. v2: Minor changes. v3: Fin

Scientific paper

We revisit a bound on symbolic powers found by Ein-Lazarsfeld-Smith and subsequently improved by Takagi-Yoshida. We show that the original argument of Ein-Lazarsfeld-Smith actually gives the same improvement. On the other hand, we show by examples that any further improvement based on the same technique appears unlikely. This is primarily an exposition; only some examples and remarks might be new.

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