2 papers
math.GR2024
Rationality of the multivariate growth series for algebraic sets of virtually abelian groups
Yusuke Nakamura
We prove the rationality of the multivariate relative growth series for algebraic sets of virtually abelian groups, which had been conjectured by Evetts and Levine.
math.CO2023
Ehrhart theory on periodic graphs II: Stratified Ehrhart ring theory
Takuya Inoue, Yusuke Nakamura
We investigate the "stratified Ehrhart ring theory" for periodic graphs, which gives an algorithm for determining the growth sequences of periodic graphs. The growth sequence $(s_{…