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Rational sub-nilmanifolds of a compact nilmanifold

  • A. LEIBMAN (a1)

Abstract

We introduce the notions of a rational point, a rational sub-nilmanifold and a rational homomorphism of compact nilmanifolds and describe elementary properties thereof. We also show that the closure of the orbit of a point of a nilmanifold $X$ under a polynomial action of the group $\mathbb{Z}^{d}$ by translations is, up to a shift, a union of rational sub-nilmanifolds of $X$.

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Rational sub-nilmanifolds of a compact nilmanifold

  • A. LEIBMAN (a1)

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