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Mathematics > Algebraic Geometry

arXiv:1807.01935 (math)
[Submitted on 5 Jul 2018 (v1), last revised 29 Mar 2020 (this version, v5)]

Title:Hodge ideals for Q-divisors, V-filtration, and minimal exponent

Authors:Mircea Mustata, Mihnea Popa
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Abstract:We explicitly compute the Hodge ideals of Q-divisors in terms of the V-filtration induced by a local defining equation, inspired by a result of Saito in the reduced case. We deduce basic properties of Hodge ideals in this generality, and relate them to Bernstein-Sato polynomials. As a consequence of our study we establish general properties of the minimal exponent, a refined version of the log canonical threshold, and bound it in terms of discrepancies on log resolutions, addressing a question of Lichtin and Kollár.
Comments: Final version (35 pages), to appear in Forum Math. Sigma
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14F10, 14J17, 32S25, 14D07
Cite as: arXiv:1807.01935 [math.AG]
  (or arXiv:1807.01935v5 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.01935

Submission history

From: Mircea Mustata [view email]
[v1] Thu, 5 Jul 2018 10:32:05 UTC (26 KB)
[v2] Wed, 10 Oct 2018 22:41:53 UTC (30 KB)
[v3] Wed, 7 Nov 2018 16:29:33 UTC (33 KB)
[v4] Tue, 18 Jun 2019 14:01:51 UTC (33 KB)
[v5] Sun, 29 Mar 2020 19:38:57 UTC (34 KB)
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