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ON THE INTERSECTION OF RATIONAL TRANSVERSAL SUBTORI

Part of: (Co)homology theory Singularities Cycles and subschemes Curves

Published online by Cambridge University Press:  01 April 2009

SHAHEEN NAZIR
SHAHEEN NAZIR*
Affiliation:
Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan (email: [email protected])
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Abstract

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We show that under a suitable transversality condition, the intersection of two rational subtori in an algebraic torus (ℂ*)n is a finite group which can be determined using the torsion part of some associated lattice. We also give applications to the study of characteristic varieties of smooth complex algebraic varieties. As an example we discuss A. Suciu’s line arrangement, the so-called deleted B3-arrangement.

Keywords

local systemconstructible sheaftwisted cohomologycharacteristic varietypencil of plane curves

MSC classification

Secondary: 14C21: Pencils, nets, webs 14F99: None of the above, but in this section 32S22: Relations with arrangements of hyperplanes 14H50: Plane and space curves
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 86 , Issue 2 , April 2009 , pp. 221 - 231
Copyright
Copyright © Australian Mathematical Society 2009

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