Toric quiver cells

M. Domokos; Dániel Joó

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arXiv · 1609.03618

Toric quiver cells

M. Domokos·Dániel Joó

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Abstract

It is shown that up to dimension four, the toric ideal of a quiver polytope is generated in degree two, with the only exception of the four-dimensional Birkhoff polytope. As a consequence, B{\o}gvad's conjecture holds for quiver polytopes of dimension at most four. In arbitrary dimension, the toric ideal of a compressed polytope is generated in degree two if the polytope has no neighbouring singular vertices. Furthermore, the toric ideal of a compressed polytope with at most one singular vertex has a quadratic Gr\"obner basis.

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BibTeX RIS

M. Domokos, Dániel Joó. 2016-09-12. Toric quiver cells. https://arxiv.org/abs/1609.03618

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