complex geometry

Noun

complex geometry (uncountable)

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 theory.2004, Daniel Huybrechts, Complex Geometry: An Introduction, Springer, page vi
2. (countable) 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, Cambridge University Press, page 253