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On the reducibility of characteristic varieties
Author(s):
Tom
Braden
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2037-2043.
MSC (2000):
Primary 32S60;
Secondary 32S30
Posted:
February 12, 2002
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Abstract:
We show that some monodromies in the Morse local systems of a conically stratified perverse sheaf imply that other Morse local systems for smaller strata do not vanish. This result is then used to explain the examples of reducible characteristic varieties of Schubert varieties given by Kashiwara and Saito in type  and by Boe and Fu for the Lagrangian Grassmannian.
References:
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Additional Information:
Tom
Braden
Affiliation:
Department of Mathematics and Statistics, University of Massachusetts--Amherst, Amherst, Massachusetts 01003
Email:
braden@math.umass.edu
DOI:
10.1090/S0002-9939-02-06469-9
PII:
S 0002-9939(02)06469-9
Keywords:
Perverse sheaves,
vanishing cycles,
Morse group,
characteristic variety
Received by editor(s):
February 27, 2000
Received by editor(s) in revised form:
January 29, 2001
Posted:
February 12, 2002
Communicated by:
Michael Stillman
Copyright of article:
Copyright
2002,
American Mathematical Society
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