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math.AC2025
A note on -actions in positive characteristic
P M S Sai Krishna
Miyanishi proved that the ring of invariants of any action on is , when the field has zero characteristic. However, it is not known…
math.AC2024
Rigidity and triangularity of an exponential map
P. M. S. Sai Krishna
Let be a field of arbitrary characteristic, be a domain and . Then (1) All exponential maps of are rigid, and we give a necessary and sufficie…
math.AC2024
An Algebraic characterization of the affine three space in arbitrary characteristic
P. M. S. Sai Krishna
We give an algebraic characterization of the affine -space over an algebraically closed field of arbitrary characteristic. We use this characterization to reformulate the follow…