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Definitive Collection: Classical Algebraic Geometry

Javier Álvarez "Empiricist"
 
An Invitation to Algebraic Geometry (Universitext)
An Invitation to Algebraic Geometry (Universitext)
Algebraic Geometry for Scientists and Engineers (Mathematical Surveys and Monographs)
Algebraic Geometry for Scientists and Engineers (Mathematical Surveys and Monographs)
Complex Algebraic Curves (London Mathematical Society Student Texts)
Complex Algebraic Curves (London Mathematical Society Student Texts)
Introduction to Algebraic Curves (Translations of Mathematical Monographs Reprint)
Introduction to Algebraic Curves (Translations of Mathematical Monographs Reprint)
Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics, Vol 5)
Algebraic Curves and Riemann Surfaces (Graduate Studies in Mathematics, Vol 5)
"Well-written and comprehensive introduction to Riemann surfaces and complex algebraic curves. Introduces sheaves and cohomology and proves Riemann-Roch."
An Introduction to Algebraic Geometry (Translations of Mathematical Monographs)
An Introduction to Algebraic Geometry (Translations of Mathematical Monographs)
Undergraduate Algebraic Geometry (London Mathematical Society Student Texts)
Undergraduate Algebraic Geometry (London Mathematical Society Student Texts)
Introduction to Algebraic Geometry
Introduction to Algebraic Geometry
Algebraic Geometry: An Introduction (Universitext)
Algebraic Geometry: An Introduction (Universitext)
"Really nice small book. This is a first abstract attempt to general algebraic geometry as introduces Sheaf theory and cohomology on varieties (not schemes yet!) and proves Riemann-Roch on an algebraic setting. Has lots of real exercises and problems (done in French universities) to work on."
Lectures on Curves, Surfaces and Projective Varieties (Ems Textbooks in Mathematics)
Lectures on Curves, Surfaces and Projective Varieties (Ems Textbooks in Mathematics)
"THE BOOK ON CLASSICAL ALGEBRAIC GEOMETRY. IF YOU REALLY WANT TO KNOW AND UNDERSTAND WHAT  YOU ARE REALLY DOING IN ABSTRACT ALGEBRAIC GEOMETRY (i.e. Hartshorne and beyond) YOU SHOULD MASTER THIS TEXT FOR THE CLASSICAL APPROACH TO GEOMETRY BEFORE GETTING SUNK IN PURELY ALGEBRAIC ABSTRACTIONS WITHOUT MOTIVATION. Besides, it includes solutions to most problems along with many examples."
Algebraic Geometry over the Complex Numbers (Universitext)
Algebraic Geometry over the Complex Numbers (Universitext)
"Great new introductory book for complex geometry! It mixes differential and algebraic complex geometry with a focus on the latter. Very useful as an introduction to Hodge theory and more advanced texts like Voisin and Griffiths-Harris."
Algebraic Geometry I: Complex Projective Varieties (Classics in Mathematics)
Algebraic Geometry I: Complex Projective Varieties (Classics in Mathematics)
"THE introductory book on complex algebraic geometry. Indispensable to connect every approach together and as background reading for more advanced treatments like Griffiths/Harris."
Algebraic Geometry: A First Course (Graduate Texts in Mathematics) (v. 133)
Algebraic Geometry: A First Course (Graduate Texts in Mathematics) (v. 133)
"This book intends to introduce algebraic geometry through lots of (mostly classical) examples so in this sense is a good companion to more formal treatments. Nevertheless many results are not proved and it doesn't fit together as nicely as other titles. Fundamental to look up some nice examples or exercises though!"
Basic Algebraic Geometry 1: Varieties in Projective Space
Basic Algebraic Geometry 1: Varieties in Projective Space
"Wonderful book! very clear and complete. Instead on relying so much on commutative algebra as the previous one, Shafarevich develops a bit more classic approach. Very complete but (Russian!) exercises are kind of hard. Excellent as a companion to Hulek's. It's a pity it almost doesn't deal with Riemann-Roch."
Basic Algebraic Geometry 2: Schemes and Complex Manifolds
Basic Algebraic Geometry 2: Schemes and Complex Manifolds
"Vol. 2 of the previous title. This should be your first encounter with Schemes because Shafarevich guides you from the motivations and insights to really understand why things are done the way they are in more advanced texts. The other half of the book deals with an introduction to complex geometry (but still no Riemann-Roch)."
Principles of Algebraic Geometry
Principles of Algebraic Geometry
"THE book on complex algebraic geometry. Hard sometimes but it's a wonderful gem to refer to."
Algebraic Varieties (London Mathematical Society Lecture Note Series)
Algebraic Varieties (London Mathematical Society Lecture Note Series)
Complex Algebraic Surfaces (London Mathematical Society Student Texts)
Complex Algebraic Surfaces (London Mathematical Society Student Texts)
"VERY GOOD book on algebraic surfaces. More analytic than algebraic sometimes but a very good and self-contained introduction."
Classical Algebraic Geometry: A Modern View
Classical Algebraic Geometry: A Modern View
"THE BOOK for advanced classical algebraic geometry! Dolgachev develops lots of interesting classical topics with modern language. A true gem for any advanced lover of geometry."
Algebraic Geometry
Algebraic Geometry
Elementary Algebraic Geometry (Graduate Texts in Mathematics)
Elementary Algebraic Geometry (Graduate Texts in Mathematics)
Elementary Geometry of Algebraic Curves: An Undergraduate Introduction
Elementary Geometry of Algebraic Curves: An Undergraduate Introduction
A Scrapbook of Complex Curve Theory (Graduate Studies in Mathematics, V. 55)
A Scrapbook of Complex Curve Theory (Graduate Studies in Mathematics, V. 55)
A Guide to Plane Algebraic Curves (Dolciani Mathematical Expositions)
A Guide to Plane Algebraic Curves (Dolciani Mathematical Expositions)
A Treatise on Algebraic Plane Curves (Dover Books on Mathematics)
A Treatise on Algebraic Plane Curves (Dover Books on Mathematics)
Elementary Algebraic Geometry (Student Mathematical Library, Vol. 20) (Student Mathematical Library, V. 20)
Elementary Algebraic Geometry (Student Mathematical Library, Vol. 20) (Student Mathematical Library, V. 20)
Plane Algebraic Curves (Student Mathematical Library, V. 15)
Plane Algebraic Curves (Student Mathematical Library, V. 15)
Introduction to Plane Algebraic Curves
Introduction to Plane Algebraic Curves
Plane Algebraic Curves: Translated by John Stillwell (Modern Birkhäuser Classics)
Plane Algebraic Curves: Translated by John Stillwell (Modern Birkhäuser Classics)
Singular Points of Plane Curves (London Mathematical Society Student Texts)
Singular Points of Plane Curves (London Mathematical Society Student Texts)
Algebraic Curves
Algebraic Curves
Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)
Conics and Cubics: A Concrete Introduction to Algebraic Curves (Undergraduate Texts in Mathematics)
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
Using Algebraic Geometry (Graduate Texts in Mathematics)
Using Algebraic Geometry (Graduate Texts in Mathematics)