54 citations · 234 across the 25 of their papers we have counts for
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Parameterized Picard-Vessiot extensions and Atiyah extensions
Henri Gillet, Sergey Gorchinskiy, Alexey Ovchinnikov
Generalizing Atiyah extensions, we introduce and study differential abelian tensor categories over differential rings. By a differential ring, we mean a commutative ring with an ac…
Positive model structures for abstract symmetric spectra
Sergey Gorchinskiy, Vladimir Guletskii
We give a general method of constructing positive stable model structures for symmetric spectra over an abstract simplicial symmetric monoidal model category. The method is based o…
A polar complex for locally free sheaves
Sergey Gorchinskiy, Alexei Rosly
We construct the so-called polar complex for an arbitrary locally free sheaf on a smooth variety over a field of characteristic zero. This complex is built from logarithmic forms o…