Orlov's Theorem for dg-algebras

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Brown, Michael K., Sridhar, Prashanth
Formato: Preprint
Publicado: 2023
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866913677196656640
author Brown, Michael K.
Sridhar, Prashanth
author_facet Brown, Michael K.
Sridhar, Prashanth
contents A landmark theorem of Orlov relates the singularity category of a graded Gorenstein algebra to the derived category of the associated noncommutative projective scheme. We generalize this theorem to the setting of differential graded algebras. As an application, we obtain new cases of the Lattice Conjecture in noncommutative Hodge theory.
format Preprint
id arxiv_https___arxiv_org_abs_2312_17422
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Orlov's Theorem for dg-algebras
Brown, Michael K.
Sridhar, Prashanth
Algebraic Geometry
Commutative Algebra
14F08
A landmark theorem of Orlov relates the singularity category of a graded Gorenstein algebra to the derived category of the associated noncommutative projective scheme. We generalize this theorem to the setting of differential graded algebras. As an application, we obtain new cases of the Lattice Conjecture in noncommutative Hodge theory.
title Orlov's Theorem for dg-algebras
topic Algebraic Geometry
Commutative Algebra
14F08
url https://arxiv.org/abs/2312.17422