☰

Geometry & Topology

Algebraic Geometry

Basic Algebraic Geometry 2

Not Available / Digital Item

Basic Algebraic Geometry 2

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevichâ€™s book is a must.''

The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, KÃ¤hler geometry and Hodge theory. The final section raisesÂ an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''.

The style ofÂ Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent ofÂ Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.

Country	USA
Author	Igor R. Shafarevich
Binding	Kindle Edition
Edition	3
EISBN	9783642380105
Format	Kindle eBook
Label	Springer Berlin Heidelberg
Manufacturer	Springer Berlin Heidelberg
NumberOfPages	262
PublicationDate	2013-08-31
Publisher	Springer Berlin Heidelberg
ReleaseDate	2013-08-31
Studio	Springer Berlin Heidelberg

You might also like...

Basic Algebraic Geometry 1: Varieties in Projective Space

Basic Algebraic Geometry 1: Varieties in Projective Space

Principles of Algebraic Geometry (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

Principles of Algebraic Geometry (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

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)

An Invitation to Algebraic Geometry (Universitext)

An Invitation to Algebraic Geometry (Universitext)

Algebraic Topology: A First Course (Graduate Texts in Mathematics)

Algebraic Topology: A First Course (Graduate Texts in Mathematics)

3264 and All That: A Second Course in Algebraic Geometry

3264 and All That: A Second Course in Algebraic Geometry

Undergraduate Algebraic Geometry (London Mathematical Society Student Texts)

Undergraduate Algebraic Geometry (London Mathematical Society Student Texts)

Topology and Geometry (Graduate Texts in Mathematics)

Topology and Geometry (Graduate Texts in Mathematics)