Kontsevich's proper DG algebra degeneration conjecture
Kontsevich's proper DG algebra degeneration conjecture
Let be a proper DG algebra over a field . The Hochschild homology pairing is a map , and let be the connecting map. Kontsevich's proper degeneration conjecture. The composition map
is zero. This is a proposed extension of Hodge-to-de Rham degeneration from smooth and proper DG algebras to proper DG algebras; the paper disproves it by constructing a counterexample.
Sources & referencesView supporting material
Primary source
Alexander I. Efimov, “Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration”, arXiv:1805.09283 (2018).
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