Monodromy of triple point line arrangements

2011/07/12 by Alexandru Dimca, Dimca, Alexandru
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1107.2214

openalex publication_date 2011/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the monodromy operator action on the first cohomology group of the Milnor fiber is combinatorially determined for line arrangements with at most triple points and containing at most 18 lines, with one possible exception.

Citations

• Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves

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