Rigid but not infinitesimally rigid compact complex manifolds
نویسندگان
چکیده
The aim of this article is to give for each dimension d≥2 an infinite series rigid compact complex manifolds which are not infinitesimally and, hence, exhaustive answer a problem Morrow and Kodaira stated in the famous book Complex Manifolds.
منابع مشابه
Infinitesimally Rigid Polyhedra. I. Statics of Frameworks
From the time of Cauchy, mathematicians have studied the motions of convex polyhedra, with the faces held rigid while changes are allowed in the dihedral angles. In the 1940s Alexandrov proved that, even with additional vertices along the natural edges, and with an arbitrary triangulation of the natural faces on these vertices, such polyhedra are infinitesimally rigid. In this paper the dual (a...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2021
ISSN: ['1547-7398', '0012-7094']
DOI: https://doi.org/10.1215/00127094-2020-0062