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Nonprojective ℳ-manifolds
Abstract
In a previous paper, the authors introduced, by analogy with Stein manifolds, a class of complex manifolds called ℳ-manifolds. This class contains all complex projective manifolds. Moreover, every compact ℳ-manifold is Moishezon. In this note, we construct examples showing that the class of compact ℳ-manifolds sits properly between the classes of projective and Moishezon manifolds.
Related
BibTeX
@misc{boudreaux2026nonprojective,
title = {{Nonprojective $\mathscrM$-manifolds}},
author = {Blake Boudreaux and Rasul Shafikov},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.36378},
eprint = {2609.36378},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.36378},
}
RIS
TY - UNPB
TI - Nonprojective ℳ-manifolds
AU - Blake Boudreaux
AU - Rasul Shafikov
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.36378
UR - https://arxiv.org/abs/2609.36378
AB - In a previous paper, the authors introduced, by analogy with Stein manifolds, a class of complex manifolds called ℳ-manifolds. This class contains all complex projective manifolds. Moreover, every compact ℳ-manifold is Moishezon. In this note, we construct examples showing that the class of compact ℳ-manifolds sits properly between the classes of projective and Moishezon manifolds.
ER -