Algebraic Geometry over the Complex Numbers

Rezensionen / Stimmen

From the reviews:

"The book under review evolved from various courses in algebraic geometry the author taught at Purdue University. It is intended for graduate level courses on algebraic geometry over C. . Every section of each chapter ends with a series of exercises that complement the treated material, sometimes asking to give proofs of stated results. . This work can serve as a textbook in an introductory course in algebraic geometry with a strong emphasis on its transcendental aspects, or as a reference book on the subject." (Pietro De Poi, Mathematical Reviews, June, 2013)

"Masterful mathematical expositors guide readers along a meaningful journey. . Every student should read this book first before grappling with any of those bibles. . This is an advanced book in its own right . . Arapura's knack for doing things in the simplest possible way and explaining the 'why' makes for much easier reading than one might reasonably expect. Summing Up: Highly recommended. Upper-division undergraduates and above." (D. V. Feldman, Choice, Vol. 50 (5), January, 2013)

"The book under review is a welcome addition to the literature on complex algebraic geometry. The approach chosen by the author balances the algebraic and transcendental approaches and unifies them by using sheaf theoretical methods. . This is a well-written text . with plenty of examples to illustrate the ideas being discussed." (Felipe Zaldivar, The Mathematical Association of America, June, 2012)

"Book provides a very lucid, vivid, and versatile first introduction to algebraic geometry, with strong emphasis on its transcendental aspects. The author provides a broad panoramic view of the subject, illustrated with numerous instructive examples and interlarded with a wealth of hints for further reading. Indeed, the balance between rigor, intuition, and completeness in the presentation of the material is absolutely reasonable for suchan introductory course book, and . it may serve as an excellent guide to the great standard texts in the field." (Werner Kleinert, Zentralblatt MATH, Vol. 1235, 2012)