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arXiv · 2609.36378

Nonprojective $\mathscr{M}$-manifolds

Blake Boudreaux·Rasul Shafikov
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Abstract

In a previous paper, the authors introduced, by analogy with Stein manifolds, a class of complex manifolds called $\mathscr{M}$-manifolds. This class contains all complex projective manifolds. Moreover, every compact $\mathscr{M}$-manifold is Moishezon. In this note, we construct examples showing that the class of compact $\mathscr{M}$-manifolds sits properly between the classes of projective and Moishezon manifolds.

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Blake Boudreaux, Rasul Shafikov. 2026-09-28. Nonprojective $\mathscr{M}$-manifolds. https://arxiv.org/abs/2609.36378

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