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Lie Methods in Deformation Theory

Lie Methods in Deformation Theory

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeometry

ISBN10: 9811911843
ISBN13: 9789811911842
Publisher: Springer Nature
Published: Aug 2 2022
Pages: 574
Weight: 2.19
Height: 1.25 Width: 6.14 Depth: 9.21
Language: English
1. An Overview of Deformation Theory of Complex Manifolds.- 2. Lie Algebras.- 3. Functors of Artin Rings.- 4. Infinitesimal Deformations of Complex Manifolds and Vector Bundles.- 5. Differential Graded Lie Algebras.- 6. Maurer-Cartan Equation and Deligne Groupoids.- 7. Totalization and Descent of Deligne Groupoids.- 8. Deformations of Complex Manifolds and Holomorphic Maps.- 9. Poisson, Gerstenhaber and Batalin-Vilkovisky Algebras.- 10. L1-algebras.- 11. Coalgebras and Coderivations.- 12. L1-morphisms.- 13. Formal Kuranishi Families and Period Maps.- References.

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Manetti, Marco

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Algebra