A finiteness property of graded sequences of ideals
Abstract
Given a graded sequence of ideals (a_m) on a smooth variety $X$ having finite log canonical threshold, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepancies of the divisors E_m are bounded. We show that in this case the set of divisors E_m is finite.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2010
- DOI:
- arXiv:
- arXiv:1011.3967
- Bibcode:
- 2010arXiv1011.3967J
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Commutative Algebra;
- 14F18 (Primary);
- 14B05 (Secondary)
- E-Print:
- 9 pages