Note extends findings on Liouville tuples in geometric context with algebraic constraints.
In 2014, Kumar et al. (Arch Math (Basel) 102:59–70, 2014) proved the existence of uncountably many Liouville tuples whose exponentials are again Liouville and whose generated exponential fields have large transcendence degree. In this note, we extend their result to a geometric setting by requiring the Liouville tuples to satisfy algebraic constraints, namely to lie on prescribed rational affine varieties.
No takes yet. Share an insight, caveat, or question.
Diego Marques (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: