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Complex Manifolds (AMS Chelsea Publishing),New
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This volume serves as an introduction to the KodairaSpencer theory of deformations of complex structures. Based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 19651966, the book gives the original proof of the Kodaira embedding theorem, showing that the restricted class of Khler manifolds called Hodge manifolds is algebraic. Included are the semicontinuity theorems and the local completeness theorem of Kuranishi. Readers are assumed to know some algebraic topology. Complete references are given for the results that are used from elliptic partial differential equations. The book is suitable for graduate students and researchers interested in abstract complex manifolds.
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- Q: How many pages does the book have? A: The book has one hundred ninety-four pages. It provides a comprehensive introduction to the Kodaira-Spencer theory of deformations of complex structures.
- Q: What is the binding type of the book? A: The book is hardcover. This durable binding ensures that it can withstand frequent use, making it suitable for academic environments.
- Q: What are the dimensions of the book? A: The book measures seven point twenty-five inches in length, zero point seventy-five inches in width, and ten point twenty-five inches in height. These dimensions make it a manageable size for reading and reference.
- Q: Who are the authors of this book? A: The authors are James Morrow and Kunihiko Kodaira. Their expertise in mathematics contributes significantly to the content and insights provided in this volume.
- Q: Is this book suitable for beginners? A: No, this book is not suitable for beginners. Readers are assumed to possess some knowledge of algebraic topology to fully engage with the material.
- Q: What is the main focus of the book? A: The main focus of the book is the Kodaira-Spencer theory of deformations of complex structures. It delves deeply into the original proof of the Kodaira embedding theorem.
- Q: How should I store this book? A: Store this book in a cool, dry place to prevent damage. Keep it upright on a shelf or in a bookcase to maintain its shape and integrity.
- Q: Can this book be cleaned? A: Yes, the book can be cleaned. Use a soft, dry cloth to gently wipe the cover and pages, avoiding any moisture that could cause damage.
- Q: How do I care for the hardcover binding? A: To care for the hardcover binding, avoid exposing it to moisture and excessive heat. Handle it with clean hands to prevent dirt and oils from transferring.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or exchange. Most sellers provide a clear return policy for damaged items.
- Q: Is there a warranty on this book? A: No, there is typically no warranty on books. However, many retailers offer return policies for defective or damaged products.
- Q: What if I want to return the book? A: You can return the book if it is in its original condition. Check the seller's return policy for specific instructions and time frames.
- Q: How do I find more books like this one? A: To find more books like this one, search within the mathematics category or look for titles by the same authors. You can also explore related topics in complex structures.
- Q: Is this book appropriate for research purposes? A: Yes, this book is appropriate for research purposes. It includes complete references for the results utilized from elliptic partial differential equations.
- Q: What topics are covered in the book? A: The book covers topics such as the Kodaira embedding theorem, semicontinuity theorems, and the local completeness theorem of Kuranishi, making it rich in advanced mathematical concepts.