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Valery A. Lunts

  1. Formality of DG algebras (after Kaledin).

    Fri, 09/18/2009 - 11:36 — SomNambul
    Authors: Valery A. Lunts
    Subjects: Algebraic Geometry
    Abstract

    We provide proper foundations and proofs for the main results of [Ka]. The
    results include a flat base change for formality and behavior of formality in
    flat families of $A(\infty)$ and DG algebras.

  2. Uniqueness of enhancement for triangulated categories.

    Mon, 08/31/2009 - 17:16 — SomNambul
    Authors: Valery A. Lunts, Dmitri O. Orlov
    Subjects: Algebraic Geometry
    Abstract

    The paper contains general results on the uniqueness of a DG enhancement for
    triangulated categories. As a consequence we obtain such uniqueness for the
    unbounded categories of quasi-coherent sheaves, for the triangulated categories
    of perfect complexes, and for the bounded derived categories of coherent
    sheaves on quasi-projective schemes. If a scheme is projective then we also
    prove a strong uniqueness for the triangulated category of perfect complexes
    and for the bounded derived categories of coherent sheaves.

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