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math.LO2005
Prolongations in differential algebra
Eric Rosen
We develop the theory of higher prolongations of algebraic varieties over fields in arbitrary characteristic with commuting Hasse-Schmidt derivations. Prolongations were introduced…
math.LO2005
Order 1 strongly minimal sets in differentially closed fields
Eric Rosen
We give a classification of non-orthogonality classes of trivial order 1 strongly minimal sets in differentially closed fields. A central idea is the introduction of -forms, fun…