Rigidity and triangularity of an exponential map

2023/12/04 by P. M. S. Sai Krishna, Krishna, P. M. S. Sai
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2312.01750

openalex publication_date 2023/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be a field of arbitrary characteristic, A be a domain and K=frac(A). Then (1) All exponential maps of k^[3] are rigid, and we give a necessary and sufficient condition for the triangularity of δ∈ EXP(k^[3]). (2) If δ∈ EXP(A^[3]) such that rank(δ)=rank(δ_K), then δ is rigid and we give a necessary and sufficient condition for the triangularity of δ. When k is of zero characteristic, (1) is due to \citeDD and (2) is due to \citeKL.

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