Algebraic Geometry 1: From Algebraic Varieties to Schemes by Kenji Ueno
English | Sep 27, 1999 | ISBN: 0821808621 | 164 Pages | PDF | 5 MB
English | Sep 27, 1999 | ISBN: 0821808621 | 164 Pages | PDF | 5 MB
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.