11 citations · 25 across the 5 of their papers we have counts for
5 papers
Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators
Gennaro Di Brino, Damjan Pistalo, Norbert Poncin
Homotopical geometry over differential operators is a convenient setting for a coordinate-free investigation of nonlinear partial differential equations modulo symmetries. One of t…
On Koszul-Tate resolutions and Sullivan models
Damjan Pistalo, Norbert Poncin
We report on Koszul-Tate resolutions in Algebra, in Mathematical Physics, in Cohomological Analysis of PDE-s, and in Homotopy Theory. Further, we define an abstract Koszul-Tate res…
Homotopical Algebraic Context over Differential Operators
Gennaro Di Brino, Damjan Pistalo, Norbert Poncin
Building on previous works, we show that the category of non-negatively graded chain complexes of -modules -- where is a smooth affine algebraic variety over an algebraica…
Model categorical Koszul-Tate resolution for algebras over differential operators
Gennaro di Brino, Damjan Pistalo, Norbert Poncin
Derived D-Geometry is considered as a convenient language for a coordinate-free investigation of nonlinear partial differential equations up to symmetries. One of the first issues…
Model structure on differential graded commutative algebras over the ring of differential operators
Gennaro di Brino, Damjan Pistalo, Norbert Poncin
We construct a cofibrantly generated model structure on the category of differential non-negatively graded quasi-coherent commutative -algebras, where is the sheaf of di…