journal article
Aug 23, 2016
-PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS
Abstract
In this article, we consider the conjectured relationship between$F$-purity and log canonicity for polynomials over$\mathbb{C}$. In particular, we show that log canonicity corresponds to dense$F$-pure type for all polynomials whose supporting monomials satisfy a certain nondegeneracy condition. We also show that log canonicity corresponds to dense$F$-pure type for very general polynomials over$\mathbb{C}$. Our methods rely on showing that the$F$-pure and log canonical thresholds agree for infinitely many primes, and we accomplish this by comparing these thresholds with the thresholds associated to their monomial term ideals.
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Metrics
8
Citations
28
References
Details
- Published
- Aug 23, 2016
- Vol/Issue
- 224(1)
- Pages
- 10-36
- License
- View
Authors
Cite This Article
DANIEL J. HERNÁNDEZ (2016). -PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS. Nagoya Mathematical Journal, 224(1), 10-36. https://doi.org/10.1017/nmj.2016.14
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