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Preprint Number 1689
1689. Omar León Sánchez and Anand Pillay Differential Galois cohomology and parameterized Picard-Vessiot extensions E-mail: , Submission date: Abstract: Assuming that the differential field (K,δ) is differentially large, in the sense of Leon Sanchez and Tressl, and “bounded” as a field, we prove that for any linear differential algebraic group G over K, the differential Galois (or constrained) cohomology set H^1_δ(K,G) is finite. This applies, among other things, to Mathematics Subject Classification: 03C60, 12H05 Keywords and phrases: differential Galois cohomology, D-varieties, PPV extensions |

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