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**About this book :- **
**Notes on Basic Algebraic Geometry ** written by
** Donu Arapura **

This book is intended to give a serious and reasonably complete introduction to algebraic geometry, not just for (future) experts in the field. The exposition serves a narrow set of goals, and necessarily takes a particular point of view on the subject.

**Book Detail :- **
** Title: ** Notes on Basic Algebraic Geometry
** Edition: **
** Author(s): ** Donu Arapura
** Publisher: **
** Series: **
** Year: ** 2008
** Pages: ** 41
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **
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**Book Contents :- **
**Classical Algebraic Geometry** written by
** Igor Dolgachev **
cover the following topics.
**Affine Geometry**

Algebraic sets, Weak Nullstellensatz, Zariski topology, The Cayley-Hamilton theorem, Affine Varieties, Hilbert’s Nullstellensatz, Nilpotent matrices
** Projective Geometry**

Projective space, Projective varieties, Projective closure, Miscellaneous examples, Grassmanians, Elimination theory, Simultaneous eigenvectors
**The category of varieties **

Rational functions, Quasi-projective varieties, Graphs
**Dimension theory**

Dimension, Dimension of fibres, Simultaneous eigenvectors (continued)
** Differential calculus **

Tangent spaces, Singular points, Singularities of nilpotent matrices, Bertini-Sard theorem

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