Title
Algebraic Geometry 1: From Algebraic Varieties To Schemes (Translations Of Mathematical Monographs) (Vol 1) (Iwanami Series In M-new,New
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This Is The First Of Three Volumes On Algebraic Geometry. The Second Volume, Algebraic Geometry 2: Sheaves And Cohomology, Is Available From The Ams As Volume 197 In The Translations Of Mathematical Monographs Series.Early In The 20Th Century, Algebraic Geometry Underwent A Significant Overhaul, As Mathematicians, Notably Zariski, Introduced A Much Stronger Emphasis On Algebra And Rigor Into The Subject. This Was Followed By Another Fundamental Change In The 1960S With Grothendiecks Introduction Of Schemes. Today, Most Algebraic Geometers Are Wellversed In The Language Of Schemes, But Many Newcomers Are Still Initially Hesitant About Them. Uenos Book Provides An Inviting Introduction To The Theory, Which Should Overcome Any Such Impediment To Learning This Rich Subject.The Book Begins With A Description Of The Standard Theory Of Algebraic Varieties. Then, Sheaves Are Introduced And Studied, Using As Few Prerequisites As Possible. Once Sheaf Theory Has Been Well Understood, The Next Step Is To See That An Affine Scheme Can Be Defined In Terms Of A Sheaf Over The Prime Spectrum Of A Ring. By Studying Algebraic Varieties Over A Field, Ueno Demonstrates How The Notion Of Schemes Is Necessary In Algebraic Geometry.This First Volume Gives A Definition Of Schemes And Describes Some Of Their Elementary Properties. It Is Then Possible, With Only A Little Additional Work, To Discover Their Usefulness. Further Properties Of Schemes Will Be Discussed In The Second Volume.
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- Q: What is the physical size of 'Algebraic Geometry 1'? A: The book measures five point seventy-five inches in length, zero point fifty-one inches in width, and eight point seventy-five inches in height.
- Q: How many pages does 'Algebraic Geometry 1' have? A: The book contains one hundred sixty-eight pages, providing a comprehensive introduction to algebraic geometry.
- Q: What binding type is used for this book? A: The book is available in paperback binding, making it lightweight and easy to handle.
- Q: Who is the author of 'Algebraic Geometry 1'? A: The author of this book is Kenji Ueno, a respected figure in the field of algebraic geometry.
- Q: What is the main focus of 'Algebraic Geometry 1'? A: The book primarily focuses on algebraic varieties and schemes, providing foundational knowledge in algebraic geometry.
- Q: What reading level is suitable for this book? A: This book is suitable for graduate students and advanced undergraduates interested in algebraic geometry.
- Q: How do I approach reading 'Algebraic Geometry 1'? A: Start by familiarizing yourself with the standard theory of algebraic varieties before progressing to schemes and sheaf theory.
- Q: Is prior knowledge required to understand this book? A: Yes, basic knowledge of algebra and geometry is recommended to fully grasp the concepts presented.
- Q: Is 'Algebraic Geometry 1' appropriate for beginners? A: While it is comprehensive, it may be challenging for absolute beginners without prior mathematical background.
- Q: How should I store 'Algebraic Geometry 1' to keep it in good condition? A: Store the book in a cool, dry place and keep it upright on a shelf to prevent any damage.
- Q: Can I clean the pages of 'Algebraic Geometry 1'? A: It is not advisable to clean the pages; instead, handle the book with care to avoid dirt and stains.
- Q: What if 'Algebraic Geometry 1' arrives damaged? A: If the book arrives damaged, you should contact the seller to arrange a return or replacement.
- Q: What is the return policy for 'Algebraic Geometry 1'? A: The return policy may vary by seller, so check the specific terms provided at the time of purchase.
- Q: Is there a warranty for 'Algebraic Geometry 1'? A: Typically, books do not come with a warranty; however, check with the seller for any specific guarantees.
- Q: How does 'Algebraic Geometry 1' compare to other volumes in the series? A: This volume focuses on foundational concepts, while subsequent volumes delve deeper into sheaves and cohomology.
- Q: Is 'Algebraic Geometry 1' suitable for self-study? A: Yes, it can be used for self-study, especially if you have a strong foundation in algebra.