Tropicalizing Spherical Embeddings

Abstract

Recently, a theory for the tropicalization of a spherical homogeneous space $G/H$ was developed by Tassos Vogiannou. We extend his ideas to define the tropicalization of a spherical $G/H$-embedding. This generalizes the construction of tropicalization of toric varieties. We also extend an alternate definition of spherical tropicalization via Gröbner theory developed by Kiumars Kaveh and Christopher Manon and show that the two notions of extended tropicalization coincide.

Sections 5, 6, and 7 added. Other minor edits and corrections made

References in corpus (1)

• The Cox ring of a spherical embedding

Cited by in corpus (1)

• Invariant factors as limit of singular values of a matrix