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Hodge filtrations for twisted parametrically prime divisors

2024/12/02 by Henry Dakin, Dakin, Henry
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Combinatorics #FOS: Mathematics #Mathematics #Prime (order theory) #Pure mathematics

paper · pdf · doi:10.48550/arxiv.2412.01738

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2024/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend previous work to the case of ℚ-divisors. Namely, for certain parametrically prime holomorphic functions f and α≥ 0, we obtain an explicit expression for the Hodge filtration on \mathscrM(f):=\mathscrOX(*f)f.

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