Description

Book Synopsis

Chapter 1. Introduction.- Chapter 2. Related Works.- Part I. Abstract Unobstructedness Theorems.- Chapter 3. Algebraic Structures.- Chapter 4. Gauge Transforms.- Chapter 5. The Extended Maurer–Cartan Equations.- Chapter 6. The Two Abstract Unobstructedness Theorems.- Part II. Logarithmic Geometry.- Chapter 7. Logarithmic Geometry.- Chapter 8. Families of Singular Log Schemes.- Chapter 9. Toroidal Crossing Spaces.- Part III. Global Deformation Theory.- Chapter 10. Generically Log Smooth Deformations.- Chapter 11. Deformations with a Vector Bundle.- Chapter 12. Geometric Families of P-Algebras.- Chapter 13. The Characteristic Algebra.- Part IV. Applications.- Chapter 14. Log Toroidal Families of Gross–Siebert Type.- Chapter 15. The Gerstenhaber Calculus of Log Toroidal Families.- Chapter 16. Deformations of Line Bundles.- Chapter 17. Algebraic Deformations.- Chapter 18. Modifications of the Log Structure.

Global Logarithmic Deformation Theory

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    A Paperback by Simon Felten

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      View other formats and editions of Global Logarithmic Deformation Theory by Simon Felten

      Publisher: Springer
      Publication Date: 09/09/2025
      ISBN13: 9783031987502, 978-3031987502
      ISBN10:

      Description

      Book Synopsis

      Chapter 1. Introduction.- Chapter 2. Related Works.- Part I. Abstract Unobstructedness Theorems.- Chapter 3. Algebraic Structures.- Chapter 4. Gauge Transforms.- Chapter 5. The Extended Maurer–Cartan Equations.- Chapter 6. The Two Abstract Unobstructedness Theorems.- Part II. Logarithmic Geometry.- Chapter 7. Logarithmic Geometry.- Chapter 8. Families of Singular Log Schemes.- Chapter 9. Toroidal Crossing Spaces.- Part III. Global Deformation Theory.- Chapter 10. Generically Log Smooth Deformations.- Chapter 11. Deformations with a Vector Bundle.- Chapter 12. Geometric Families of P-Algebras.- Chapter 13. The Characteristic Algebra.- Part IV. Applications.- Chapter 14. Log Toroidal Families of Gross–Siebert Type.- Chapter 15. The Gerstenhaber Calculus of Log Toroidal Families.- Chapter 16. Deformations of Line Bundles.- Chapter 17. Algebraic Deformations.- Chapter 18. Modifications of the Log Structure.

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