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Decomposition of residue currents
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Mats Andersson
Published/Copyright:
November 23, 2009
Abstract
Given a submodule 
and a free resolution of J one can define a certain vector-valued residue current whose annihilator is J. We make a decomposition of the current with respect to Ass J that corresponds to a primary decomposition of J. As a tool we introduce a class of currents that includes usual residue and principal value currents; in particular these currents admit a certain type of restriction to analytic varieties and more generally to constructible sets.
Received: 2007-10-22
Revised: 2008-07-05
Published Online: 2009-11-23
Published in Print: 2010-January
© Walter de Gruyter Berlin · New York 2010
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- Free evolution on algebras with two states
- Decomposition of residue currents
- Free holomorphic automorphisms of the unit ball of B(ℋ)n
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Articles in the same Issue
- Waring's problem in function fields
- On Katz's bound for the number of elements with given trace and norm
- Free evolution on algebras with two states
- Decomposition of residue currents
- Free holomorphic automorphisms of the unit ball of B(ℋ)n
- Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
- Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds
- Mld's vs thresholds and flips
