dorsal/arxiv
View SchemaVolume of the domain bounded by a Hermitian quadric in complex projective space
| Authors | Joyita Banerjee Ganguly, Debraj Chakrabarti, Meera Mainkar |
|---|---|
| Categories | |
| ArXiv ID | 2601.07077vv1 |
| URL | https://arxiv.org/abs/2601.07077 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
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.
{
"annotation_id": "06754404-75ba-421a-b603-0ab6c6928a2f",
"date_created": "2026-02-17T05:53:08.769000Z",
"date_modified": "2026-02-17T05:53:08.769000Z",
"file_hash": "ec06881e7d7e6d4768d412d621f0e683ced31bcba4ccd1d54a8ddd488124ad34",
"private": false,
"record": {
"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.",
"arxiv_id": "2601.07077",
"authors": [
"Joyita Banerjee Ganguly",
"Debraj Chakrabarti",
"Meera Mainkar"
],
"categories": [
"math.MG",
"math.CV"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Volume of the domain bounded by a Hermitian quadric in complex projective space",
"url": "https://arxiv.org/abs/2601.07077",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2e119ffc-981b-442b-8d98-c9e970915033",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}