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Invariants of singular germs of real-analytic sets
Abstract
New biholomorphic invariants of a germ of a real-analytic set at a singular point (either an RC-singular point or a singular point of a smooth structure) are found: the Bloom-Graham singular type and the singular l-type. Their construction is based on the Bloom-Graham type and l-type constructions, respectively. A series of examples is considered.
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BibTeX
@misc{stepanova2026invariants,
title = {{Invariants of singular germs of real-analytic sets}},
author = {M. A. Stepanova},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06736},
eprint = {2609.06736},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06736},
}
RIS
TY - UNPB
TI - Invariants of singular germs of real-analytic sets
AU - M. A. Stepanova
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.06736
UR - https://arxiv.org/abs/2609.06736
AB - New biholomorphic invariants of a germ of a real-analytic set at a singular point (either an RC-singular point or a singular point of a smooth structure) are found: the Bloom-Graham singular type and the singular l-type. Their construction is based on the Bloom-Graham type and l-type constructions, respectively. A series of examples is considered.
ER -