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Ueda theory: theorems and problems
About this Title
Amnon Neeman
Publication: Memoirs of the American Mathematical Society
Publication Year:
1989; Volume 81, Number 415
ISBNs: 978-0-8218-2478-8 (print); 978-1-4704-0838-1 (online)
DOI: https://doi.org/10.1090/memo/0415
MathSciNet review: 990364
MSC: Primary 32E10; Secondary 14J15, 32J15
Table of Contents
Chapters
- Article 1. Geometric consequences of Ueda’s results
- 0. Introduction
- 1. The Ueda class
- 2. Variation of the Ueda class
- 3. The Ueda class and plurisubharmonic functions
- 4. The proofs of Lemma 3.2 and Lemma 3.4
- 5. The Ueda class of curves on projective surfaces
- 6. The case of elliptic curves
- 7. Sections of $\mathbb {P}^1$-bundles
- 8. The functoriality of the Ueda class
- 9. Ueda classes of high type
- 10. A different example
- Article 2. Problems in Ueda theory
- 0. Introduction
- 1. Infinitesimal connections
- 2. Lifting infinitesimal connections
- 3. The Ueda class
- 4. Variation of the Ueda class
- 5. The Ueda class of $M \subset X$ with a torsion normal bundle
- 6. Classification
- 7. Higher dimensions
- 8. Computations of some Ueda classes
- 9. Elliptic curves $M \subset X$ with $u(M,X)\neq 0$