Outputs (5)

Detecting tropical defects of polynomial equations (2019)
Journal Article
Görlach, P., Ren, Y., & Sommars, J. (2021). Detecting tropical defects of polynomial equations. Journal of Algebraic Combinatorics, 53(1), 31-47. https://doi.org/10.1007/s10801-019-00916-4

We introduce the notion of tropical defects, certificates that a system of polynomial equations is not a tropical basis, and provide two algorithms for finding them in affine spaces of complementary dimension to the zero set. We use these techniques... Read More about Detecting tropical defects of polynomial equations.

The gfanlib interface in Singular and its applications (2019)
Journal Article
Jensen, A., Ren, Y., & Schönemann, H. (2019). The gfanlib interface in Singular and its applications. The journal of software for algebra and geometry, 9(1), https://doi.org/10.2140/jsag.2019.9.81

Tritangents and their space sextics (2019)
Journal Article
Celik, T. O., Kulkarni, A., Ren, Y., & Sayyary Namin, M. (2019). Tritangents and their space sextics. Journal of Algebra, 538, https://doi.org/10.1016/j.jalgebra.2019.07.037

Computing Tropical Varieties Over Fields with Valuation (2019)
Journal Article
Markwig, T., & Ren, Y. (2019). Computing Tropical Varieties Over Fields with Valuation. Foundations of Computational Mathematics, 20(4), https://doi.org/10.1007/s10208-019-09430-2

Tropicalized Quartics and Canonical Embeddings for Tropical Curves of Genus 3 (2019)
Journal Article
Hahn, M. A., Markwig, H., Ren, Y., & Tyomkin, I. (2019). Tropicalized Quartics and Canonical Embeddings for Tropical Curves of Genus 3. International Mathematics Research Notices, 2021(12), https://doi.org/10.1093/imrn/rnz084