Hyperresolutions Cubiques Et Descente Cohomologique (Lecture Notes In Mathematics, 1335) (French Edition)

Hyperresolutions Cubiques Et Descente Cohomologique (Lecture Notes In Mathematics, 1335) (French Edition)

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This Monograph Establishes A General Context For The Cohomological Use Of Hironaka'S Theorem On The Resolution Of Singularities. It Presents The Theory Of Cubical Hyperresolutions, And This Yields The Cohomological Properties Of General Algebraic Varieties, Following Grothendieck'S General Ideas On Descent As Formulated By Deligne In His Method For Simplicial Cohomological Descent. These Hyperrsolutions Are Applied In Problems Concerning Possibly Singular Varieties: The Monodromy Of A Holomorphic Function Defined On A Complex Analytic Space, The De Rham Cohmomology Of Varieties Over A Field Of Zero Characteristic, Hodgedeligne Theory And The Generalization Of Kodairaakizukinakano'S Vanishing Theorem To Singular Algebraic Varieties. As A Variation Of The Same Ideas, An Application Of Cubical Quasiprojective Hyperresolutions To Algebraic Ktheory Is Given.

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  • Q: What is the page count of this book? A: This book contains two hundred four pages. It's a comprehensive resource on algebraic geometry and cohomological methods.
  • Q: What are the dimensions of the book? A: The book measures six point one inches in length, zero point forty-eight inches in width, and nine point twenty-five inches in height.
  • Q: What type of binding does this book have? A: This book is published in paperback binding. This makes it lightweight and easy to handle.
  • Q: Who is the author of this book? A: The author of this book is Francisco Guillén. He is known for his contributions to algebraic geometry.
  • Q: What is the main topic covered in this book? A: This book focuses on cubical hyperresolutions and their applications in algebraic geometry. It also discusses Hironaka's theorem and cohomological descent.
  • Q: How do I apply the theories in this book? A: To apply the theories, read through the monograph to understand the concepts. The book provides examples on resolving singularities and using hyperresolutions.
  • Q: Is this book suitable for beginners in algebraic geometry? A: This book is more suitable for advanced readers familiar with algebraic geometry. It assumes prior knowledge of complex theories.
  • Q: Can I use this book for academic research? A: Yes, this book is an excellent resource for academic research in algebraic geometry. It includes theoretical foundations and applications.
  • Q: What are the practical applications discussed in the book? A: The book discusses applications in singular varieties, monodromy, and cohomology. It also covers Hodge-Deligne theory.
  • Q: How should I store this book to keep it in good condition? A: Store this book upright on a shelf, away from direct sunlight and humidity. This helps preserve the binding and pages.
  • Q: Is there a warranty for this book? A: Books typically do not come with a warranty. However, you can return it if it arrives damaged.
  • Q: What should I do if the book arrives damaged? A: If the book arrives damaged, contact the seller for return options. Most sellers provide a return policy for such cases.
  • Q: Are there any specific care instructions for this book? A: There are no special care instructions, but keep it away from moisture and extreme temperatures to maintain its condition.
  • Q: Can this book be used for self-study? A: Yes, this book can be used for self-study if you have a solid background in algebraic geometry. It’s rich in theory and applications.
  • Q: How does this book compare to similar titles in algebraic geometry? A: This book offers a unique perspective on cohomological methods compared to other titles. It emphasizes cubical hyperresolutions.
  • Q: What is the best way to read this book for maximum understanding? A: To maximize understanding, take notes and work through examples provided in the book. Engage with the theories presented.

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