发表机构
University of Arkansas; University of Western Ontario(阿肯色大学; 韦仕敦大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文构造例子证明紧致$\mathscr{M}$-流形类严格介于射影流形与莫伊舍宗流形之间,填补了这两类之间的空隙。
AI 中文摘要
在先前的一篇论文中,作者类比施坦流形引入了一类称为$\mathscr{M}$-流形的复流形。该类包含所有复射影流形。此外,每个紧致$\mathscr{M}$-流形都是莫伊舍宗流形。在本文中,我们构造例子表明,紧致$\mathscr{M}$-流形类严格介于射影流形类与莫伊舍宗流形类之间。
英文摘要
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.