In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was
to understand completely Grothendieck's local study of the Hilbert scheme using the …

In the fall semester of 1979 I gave a course on deformation theory at Berkeley. My goal was
to understand completely Grothendieck's local study of the Hilbert scheme using the …

This volume offers a systematic treatment of certain basic parts of algebraic geometry,
presented from the analytic and algebraic points of view. The notes focus on comparison …

The third edition differs from the previous two in some fairly minor corrections and a number
of additions. Both of these are based on remarks and advice from readers of the earlier …

The aim of this book is to describe the underlying principles of algebraic geometry, some of
its important developments in the twentieth century, and some of the problems that occupy …

Algebra is abstract mathematics-let us make no bones about it-yet it is also applied
mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction …

The main purpose of the present treatise is to give an account of some of the topics in
algebraic geometry which while having occupied the minds of many mathematicians in …

This book was written to make learning introductory algebraic geometry as easy as possible.
It is designed for the general first-and second-year graduate student, as well as for the …

This textbook, for an undergraduate course in modern algebraic geometry, recognizes that
the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little …

Modem algebraic geometry has deservedly been considered for a long time as an
exceedingly complex part of mathematics, drawing practically on every other part to build up …