Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424443 | Journal of Combinatorial Theory, Series A | 2017 | 5 Pages |
Abstract
To each prime ideal in a polynomial ring over a field we associate an algebraic matroid and show that it is preserved under tropicalization. This gives a necessary condition for a tropical variety to be set-theoretically realizable from a prime ideal. We also show that there are infinitely many Bergman fans that are not set-theoretically realizable as the tropicalization of any ideal.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Josephine Yu,