Intersection Cohomology and Perverse Eigenspaces of the Monodromy

2018/01/07 by David B. Massey, Massey, David B.
Computer Science · Mathematics · #32B10 #32B15 #32C18 #32S15 #32S25 #32S55 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Polynomial and algebraic computation #math.AG #msc:32B10 #msc:32B15 #msc:32C18 #msc:32S15 #msc:32S25 #msc:32S55

paper · pdf · doi:10.48550/arxiv.1801.02113

16 pages

openalex publication_date 2018/01/07 · arxiv created 2019/02/01 · arxiv updated 2019/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the relationship between intersection cohomology with twisted coefficients and the perverse sheaves which play the role of the eigenspaces for the Milnor monodromy of an affine hypersurface.

Related

• Intersection Cohomology, Monodromy, and the Milnor Fiber
• An introduction to perverse sheaves
• Computing Milnor fiber monodromy for some projective hypersurfaces
• Invariant Subspaces of the Monodromy
• The Monodromy Conjecture for hyperplane arrangements