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arXiv · 1806.06817

Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications

Christopher Manon·Jihyeon Jessie Yang
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Abstract

We construct a family of compactifications of the affine cone of the Grassmannian variety of 2-planes. We show that both the tropical variety of the Pl\"ucker ideal and familiar valuations associated to the construction of Newton-Okounkov bodies for the Grassmannian variety can be recovered from these compactifications. In this way, we unite various perspectives for constructing toric degenerations of flag varieties.

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Christopher Manon, Jihyeon Jessie Yang. 2018-06-18. Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications. https://arxiv.org/abs/1806.06817

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