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arXiv · 1601.04054

The No Gap Conjecture for tame hereditary algebras

Stephen Hermes·Kiyoshi Igusa
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Abstract

The "No Gap Conjecture" of Br\"ustle-Dupont-P\'erotin states that the set of lengths of maximal green sequences for hereditary algebras over an algebraically closed field has no gaps. This follows from a stronger conjecture that any two maximal green sequences can be "polygonally deformed" into each other. We prove this stronger conjecture for all tame hereditary algebras over any field.

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Stephen Hermes, Kiyoshi Igusa. 2016-01-15. The No Gap Conjecture for tame hereditary algebras. https://arxiv.org/abs/1601.04054

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