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ABSTRACT On the complement to a central plane line arrangement , a locally constant sheaf of complex vector spaces ℒa is associated to any multi-index a∈ℂn. Using the description of… Click to show full abstract
ABSTRACT On the complement to a central plane line arrangement , a locally constant sheaf of complex vector spaces ℒa is associated to any multi-index a∈ℂn. Using the description of MacPherson and Vilonen of the category of perverse sheaves [7, 8], we obtain a criterion for the irreducibility and number of decomposition factors of the direct image as a perverse sheaf, where j:X→ℂ2 is the canonical inclusion.
Keywords:
plane line;
perverse sheaves;
perverse;
decomposition
Journal Title: Communications in Algebra
Year Published: 2017
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Journal Title: Communications in Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!