3 papers
math.NT2025
Notes on the LVP and CVP in -adic Fields
Chi Zhang, Mingqian Yao
This paper explores computational methods for solving the Longest Vector Problem (LVP) and Closest Vector Problem (CVP) in -adic fields. Leveraging the non-Archimedean property…
math.CO2025
Bumpless Pipe Dream Fragments -- Equivariant Geometry of Clans
Yiming Chen, Neil J. Y. Fan, Rui Xiong +1
In this paper, we establish a new geometric setting for bumpless pipe dreams and double Schubert polynomials. Building on the notion of bumpless pipe dream fragments, we define cla…
math.CO2025
Valuative Invariants of Catalan Matroids
Yiming Chen, Yao Li, Ming Yao
We decompose the indicator function of each -Catalan matroid polytope as a weighted sum of indicator function of matroid polytopes that correspond to direct sums of uniform…