Volume of the domain bounded by a Hermitian quadric in complex projective space
Metric Geometry
2026-01-13 v1 Complex Variables
Abstract
We compute explicitly the Riemannian volume, with respect to the Fubini-Study metric, of a domain bounded by a Hermitian quadric in complex projective space. The volume is a rational function of the eigenvalues of the defining quadratic form.
Keywords
Cite
@article{arxiv.2601.07077,
title = {Volume of the domain bounded by a Hermitian quadric in complex projective space},
author = {Joyita Banerjee Ganguly and Debraj Chakrabarti and Meera Mainkar},
journal= {arXiv preprint arXiv:2601.07077},
year = {2026}
}