Volume of the domain bounded by a Hermitian quadric in complex projective space

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Joyita Banerjee Ganguly, Debraj Chakrabarti, Meera Mainkar
DOI: 10.48550/arxiv.2601.07077
Cited by: 0

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.

Fields of Study & Subjects

Geometry and complex manifolds Algebraic Geometry and Number Theory Holomorphic and Operator Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 January 2026
Document type
Preprint