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math.AG2014
Effective uniform bounding in partial differential fields
James Freitag, Omar Leon Sanchez
Motivated by the effective bounds of ordinary differential equations, we prove an effective version of uniform bounding for partial differential fields with commuting derivations.…
math.AG2014
On linear dependence over complete differential algebraic varieties
James Freitag, Omar Leon Sanchez, William Simmons
We extend Kolchin's results on linear dependence over projective varieties in the constants, to linear dependence over arbitrary complete differential varieties. We show that in th…