Skip to Main content Skip to Navigation
Conference papers

Isotropical Linear Spaces and Valuated Delta-Matroids

Abstract : The spinor variety is cut out by the quadratic Wick relations among the principal Pfaffians of an $n \times n$ skew-symmetric matrix. Its points correspond to $n$-dimensional isotropic subspaces of a $2n$-dimensional vector space. In this paper we tropicalize this picture, and we develop a combinatorial theory of tropical Wick vectors and tropical linear spaces that are tropically isotropic. We characterize tropical Wick vectors in terms of subdivisions of Delta-matroid polytopes, and we examine to what extent the Wick relations form a tropical basis. Our theory generalizes several results for tropical linear spaces and valuated matroids to the class of Coxeter matroids of type $D$.
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam <>
Submitted on : Tuesday, October 13, 2015 - 3:06:14 PM
Last modification on : Friday, June 28, 2019 - 3:01:15 PM
Long-term archiving on: : Thursday, April 27, 2017 - 12:26:24 AM


Publisher files allowed on an open archive


  • HAL Id : hal-01215074, version 1



Felipe Rincón. Isotropical Linear Spaces and Valuated Delta-Matroids. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.801-812. ⟨hal-01215074⟩



Record views


Files downloads