3 papers
math.AG2026
Derived representation schemes with arbitrary coefficients and associative smoothness
Guanyu Li
We study associative smoothness through representation homology with coefficients in arbitrary finite-dimensional algebras. We prove that the higher representation homology of a fi…
math.AC2026
Orlov's functors in Macaulay2
Michael K. Brown, Souvik Dey, Geoffrey Fatin +3
Given a commutative and graded Gorenstein ring with associated projective variety , a theorem of Orlov gives fully faithful embeddings from the graded singularity category o…
math.AG2024
A Step towards Computational Derived Algebraic Geometry: The RepHomology Package For Macaulay2
Guanyu Li
We introduce the \verb|Macaulay2| package \verb|RepHomology| for the computations of representation homology of certain spaces. The main methods implement computing the representat…