Global Logarithmic Deformation Theory
This monograph provides the first systematic treatment of the logarithmic Bogomolov-Tian-Todorov theorem. Providing a new perspective on classical results, this theorem guarantees that logarithmic Calabi-Yau spaces have unobstructed deformations. Part I develops the deformation theory of curved Bata...
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| Главный автор: | |
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| Соавтор: | |
| Формат: | Электронный ресурс eКнига |
| Язык: | английский |
| Опубликовано: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Редактирование: | 1st ed. 2025. |
| Серии: | Lecture Notes in Mathematics,
2373 |
| Предметы: | |
| Online-ссылка: | https://doi.org/10.1007/978-3-031-98751-9 |
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Оглавление:
- 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.