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Poincaré duality and resonance varieties

Published online by Cambridge University Press:  13 September 2019

Alexander I. Suciu
Affiliation:
Department of Mathematics, Northeastern University, Boston, Massachusetts 02115, USA (a.suciu@northeastern.edu) web.northeastern.edu/suciu/
Corresponding
E-mail address:

Abstract

We explore the constraints imposed by Poincaré duality on the resonance varieties of a graded algebra. For a three-dimensional Poincaré duality algebra A, we obtain a fairly precise geometric description of the resonance varieties ${\cal R}^i_k(A)$.

Type
Research Article
Copyright
Copyright © 2019 The Royal Society of Edinburgh

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