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Minimal Models of Nilmanifolds

Keizo Hasegawa
Proceedings of the American Mathematical Society
Vol. 106, No. 1 (May, 1989), pp. 65-71
DOI: 10.2307/2047375
Stable URL: http://www.jstor.org/stable/2047375
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Minimal Models of Nilmanifolds
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Abstract

In this paper we first determine minimal models of nilmanifolds associated with given rational nilpotent Lie algebras. Then we study some properties of nilmanifolds through their associated Lie algebras and minimal models. In particular, we will see that a minimal model of a nilmanifold is formal if and only if it is a torus, and thus a non-toral nilmanifold has no complex structure which is birationally isomorphic to a Kähler manifold.

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