PreprintCC BY 4.0arXiv
On lens spaces which may embed in the complex projective plane
Abstract
Using an obstruction derived by Owens and relying on Donaldson's Diagonalisation Theorem, we obtain a complete classification of lens spaces of Lisca type (2) or (3) that are unobstructed from embedding in a homology complex projective plane. This classification is further refined for lens spaces L(p,q) with p even, using an obstruction due to Lidman--Moore--Vazquez based on work of Lin. This article is extracted from the author's PhD thesis.
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BibTeX
@misc{carfora2026lens,
title = {{On lens spaces which may embed in the complex projective plane}},
author = {Giulia Carfora},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40957},
eprint = {2610.40957},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40957},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On lens spaces which may embed in the complex projective plane
AU - Giulia Carfora
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40957
UR - https://arxiv.org/abs/2610.40957
AB - Using an obstruction derived by Owens and relying on Donaldson's Diagonalisation Theorem, we obtain a complete classification of lens spaces of Lisca type (2) or (3) that are unobstructed from embedding in a homology complex projective plane. This classification is further refined for lens spaces L(p,q) with p even, using an obstruction due to Lidman--Moore--Vazquez based on work of Lin. This article is extracted from the author's PhD thesis.
ER -