Vector bundles on the projective line and finite domination of chain complexes

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Abstract

We present an algebro-geometric approach to a theorem on finite domination of chain complexes over a Laurent polynomial ring. The approach uses extension of chain complexes to sheaves on the projective line, which is governed by a K-theoretical obstruction.
Original languageEnglish
Number of pages12
JournalMathematical Proceedings of the Royal Irish Academy
Volume115A
Issue number1
DOIs
Publication statusPublished - 2015

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