
The Library
Tropical schemes, tropical cycles, and valuated matroids
Tools
Maclagan, Diane and Rincón, Felipe (2019) Tropical schemes, tropical cycles, and valuated matroids. Journal of the European Mathematical Society, 22 (3). pp. 777-796. doi:10.4171/JEMS/932 ISSN 1435-9855.
|
PDF
WRAP-Tropical-schemes-tropical-cycles-Maclagan-2017.pdf - Accepted Version - Requires a PDF viewer. Download (706Kb) | Preview |
Official URL: https://doi.org/10.4171/JEMS/932
Abstract
The tropicalization of a subvariety Y in the n-dimensional algebraic torus T is a polyhedral complex trop(Y ) that is a \combinatorial shadow" of the original variety. Some invariants of Y , such as the dimension, are encoded in trop(Y ). The complex trop(Y ) comes equipped with positive integer weights on its top-dimensional cells, called multiplicities, that make it into a tropical cycle. This extra information encodes information about the intersection theory of compacti cations of the original variety Y ; see for example [KP11].
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Tropical geometry, Matroids, Vector spaces | ||||||
Journal or Publication Title: | Journal of the European Mathematical Society | ||||||
Publisher: | European Mathematical Society Publishing House | ||||||
ISSN: | 1435-9855 | ||||||
Official Date: | 19 November 2019 | ||||||
Dates: |
|
||||||
Volume: | 22 | ||||||
Number: | 3 | ||||||
Page Range: | pp. 777-796 | ||||||
DOI: | 10.4171/JEMS/932 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | To appear in Journal of the European Mathematical Society: http://www.ems-ph.org/journals/journal.php?jrn=jems © 2018 EMS Publishing House. | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 11 December 2017 | ||||||
Date of first compliant Open Access: | 26 September 2018 | ||||||
RIOXX Funder/Project Grant: |
|
||||||
Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
![]() |
View Item |
Downloads
Downloads per month over past year