complex geometry

The study of complex manifolds, complex algebraic varieties, and functions of several complex variables.

Noun

  1. The study of complex manifolds, complex algebraic varieties, and functions of several complex variables.
    • Included in complex geometry are the application of transcendental methods to algebraic geometry, as well as the more geometric aspects of complex analysis.
    • I tried to teach the subject in a way that would enable the students to follow recent developments in complex geometry and in particular some of the exciting aspects of the interplay between complex geometry and string...
    • 2004, Yum-Tong-Siu, Hyperbolicity in Complex Geometry, Olav Arnfinn Lauda, Ragni Piene (editors), The Legacy of Niels Henrik Abel, Springer, page 543, The hyperbolicity problem in complex geometry studies the conditions...
  2. Used other than figuratively or idiomatically: see complex, geometry.
    • More discussion on the use of the parallel axis theorem in modeling the inertia of rigid bodies with complex geometry is presented in Chapter 8 of this book. - 2013, Ahmed A. Shabana, Dynamics of Multibody Systems,...