nLab deformation theory of sheaves

This article collects some references about the deformation theory of sheaves on schemes and derived schemes.

Related

• deformation theory

• perfect complexes, triangulated categories of sheaves

• derived moduli stack of objects in a dg-category

References

• Max Lieblich, Moduli of complexes on a proper morphism, arXiv:math/0502198.

• Wendy T. Lowen?, Obstruction theory for objects in abelian and derived categories, arXiv:math/0407019.

• D. Huybrechts?, R. P. Thomas, Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes, arXiv:0805.3527.

• Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov?, Deformation theory of objects in homotopy and derived categories I: general theory, arXiv:math/0702838.

• Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov?, Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor, arXiv:math/0702839.

• Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov?, Deformation theory of objects in homotopy and derived categories III: abelian categories, arXiv:math/0702840.

• B. Toen, M. Vaquie, Moduli of objects in dg-categories, arXiv:math/0503269.

• J. P. Pridham, Derived moduli of schemes and sheaves, arXiv:1011.2742.