Böcker av Phillip Griffiths

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves.

Rational Homotopy Theory and Differential Forms

This study presents the results of the authors' development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms.

In recent years there has been enormous activity in the theory of algebraic curves. Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory.

Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

Algebraic curves and compact Riemann surfaces comprise the most developed and arguably the most beautiful portion of algebraic geometry. This book provides a foundation to proceed to advanced texts in general algebraic geometry, complex manifolds, and Riemann surfaces, as well as algebraic curves.