Acyclic complexes and 1-affineness
Dennis Gaitsgory, Sam Raskin
TL;DR
This paper corrects a previous proof related to acyclic complexes and 1-affineness, providing counterexamples involving infinite-dimensional unipotent groups and affine spaces that challenge prior assumptions.
Contribution
It offers a corrected proof of a key result and introduces counterexamples that impact the understanding of 1-affineness in algebraic geometry.
Findings
Counterexamples involving infinite-dimensional unipotent groups
Counterexamples involving affine spaces
Correction of the previous proof
Abstract
This short note is an erratum to arXiv:1306.4304, correcting the proof of one of its main results. It includes some counterexamples regarding infinite-dimensional unipotent groups and affine spaces that may be of independent interest.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Advanced Operator Algebra Research