Duality for cochain DG algebras

作者：Jorgensen Peter^*

来源：Science China Mathematics, 2013, 56(1): 79-89.

DOI：10.1007/s11425-012-4470-3

• balanced dualizing complex
• Castelnuovo-Mumford regularity
• Cech DG module
• derived completion
• derived torsion
• DG left-module
• DG right-module
• dualizing DG module
• endomorphism DG algebra
• Ext regularity
• non-commutative DG algebra

This paper develops a duality theory for connected cochain DG algebras, with particular emphasis on the non-commutative aspects. One of the main items is a dualizing DG module which induces a duality between the derived categories of DG left-modules and DG right-modules with finitely generated cohomology. As an application, it is proved that if the canonica

• 出版日期2013-1