Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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, Shafarevich’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, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''. The style of  Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of  Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.

Geometry, algebraic. --- Mathematics. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Algebraic geometry. --- Physics. --- Algebraic Geometry. --- Theoretical, Mathematical and Computational Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Algebraic geometry --- Math --- Science --- Geometry, Algebraic. --- Mathematical physics. --- Physical mathematics --- Physics --- Geometria algebraica

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds. As with Volume 1, the author has revised the text and added new material, e.g. as a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum, making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as those in theoretical physics.

Geometry, Algebraic --- #TELE:MI2 --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- Algebraic geometry --- Geometry --- #KVIV:BB --- Geometry, Algebraic. --- Géométrie algébrique --- Géométrie algébrique

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Surfaces, Algebraic

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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, Shafarevich’s book is a must.'' The third edition, in addition to some minor corrections, now offers a new treatment of the Riemann--Roch theorem for curves, including a proof from first principles. Shafarevich's book is an attractive and accessible introduction to algebraic geometry, suitable for beginning students and nonspecialists, and the new edition is set to remain a popular introduction to the field.

Mathematics --- Algebraic geometry --- Geometry --- Mathematical physics --- landmeetkunde --- theoretische fysica --- wiskunde --- geometrie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Persecutions --- Droits de l'homme --- U.r.s.s. --- Aspect religieux --- Vie religieuse --- Persecutions --- Droits de l'homme --- U.r.s.s. --- Aspect religieux --- Vie religieuse --- 20e siecle