Modern Geometry

Provides an overview of the field of geometry by studying selected geometries in depth, both Euclidean and non-Euclidean.
The aim of this book is to develop basic geometric tools to explore properties of systems of polynomial equations and varieties.
The book covers subjects related to Invariant theory, homological algebra questions of Algebraic geometry including derived categories, complex analytic, differential geometric and arithmetic aspects of the geometry of algebraic varieties.