Unipotent differential algebraic groups as parameterized differential Galois groups
Unipotent differential algebraic groups as parameterized differential Galois groups
We deal with aspects of the direct and inverse problems in parameterized Picard-Vessiot (PPV) theory. It is known that, for certain fields, a linear differential algebraic group (LDAG) G is a PPV Galois group over these fields if and only if G contains a Kolchin-dense finitely generated group. We show …