119 citations · 638 across the 44 of their papers we have counts for
3 papers · 1 filter
Effective difference elimination and Nullstellensatz
Alexey Ovchinnikov, Gleb Pogudin, Thomas Scanlon
We prove effective Nullstellensatz and elimination theorems for difference equations in sequence rings. More precisely, we compute an explicit function of geometric quantities asso…
Corrigendum: 'On bounds for the effective differential Nullstellensatz, arXiv:1508.07508'
Omar Leon Sanchez, Alexey Ovchinnikov
We correct a small gap found in the authors' paper 'On bounds for the effective differential Nullstellensatz' (J Algebra 449:1-21, 2016). This gap is due to an inequality that does…
Triviality of differential Galois cohomologies of linear differential algebraic groups
Andrei Minchenko, Alexey Ovchinnikov
We show that the triviality of the differential Galois cohomologies over a partial differential field K of a linear differential algebraic group is equivalent to K being algebraica…