Torsten Wedhorn Knihy

This book serves as an introduction to modern algebraic geometry, focusing on Grothendieck's language of schemes. It emphasizes systematic treatment and motivation, using concrete examples like Hilbert modular surfaces. Exercises enhance comprehension, requiring only basic abstract algebra and topology knowledge. A second volume on cohomology is planned.

This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.