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

Joyita Banerjee Ganguly; Debraj Chakrabarti; Meera Mainkar

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arXiv · 2601.07077

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

Joyita Banerjee Ganguly·Debraj Chakrabarti·Meera Mainkar

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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.

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Joyita Banerjee Ganguly, Debraj Chakrabarti, Meera Mainkar. 2026-01-11. Volume of the domain bounded by a Hermitian quadric in complex projective space. https://arxiv.org/abs/2601.07077

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