Customer Reviews (1)

Not much to say, really.
I bought this to have a matching set with my Volume II.
Decent enough for reference, but that's about it.
Yeah...that's about it. ... Read more

Book Description
In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems. ... Read more

Customer Reviews (1)

A Mathematician in Turbulent Times
Carol Parikh's engaging bio of Oscar Zariski is a valuable contribution to the history of mathematics; it provides an understandable history of the development of algebraic geometry. The book also offers a valuable lesson in how political and racist vendettas have affected the "pure" science of mathematics and the lives of mathematicians. I came across her compelling book a year after publishing "A3 & His Algebra," the bio of A.A. Albert, who had a close collegial relationship with Zariski. The personal histories of both men demonstrate the importance of a free and open academic atmosphere to the development of scientific innovation.Nancy E. Albert, author of "A3 & His Algebra". ... Read more

Product Description
Moduli problems in algebraic geometry date back to Riemann's famous count of the $3g-3$ parameters needed to determine a curve of genus $g$. In this book, Zariski studies the moduli space of curves of the same equisingularity class. After setting up and reviewing the basic material, Zariski devotes one chapter to the topology of the moduli space, including an explicit determination of the rare cases when the space is compact. Chapter V looks at specific examples where the dimension of the generic component can be determined through rather concrete methods. Zariski's last chapter concerns the application of deformation theory to the moduli problem, including the determination of the dimension of the generic component for a particular family of curves.An appendix by Bernard Teissier reconsiders the moduli problem from the point of view of deformation theory. He gives new proofs of some of Zariski's results, as well as a natural construction of a compactification of the moduli space. ... Read more