Abstract

Theorem 0.6 supplies the finite-cusp reduction data and separation properties used to prove the compactness and short-vector assertions in Kleinbock–Weiss Proposition 3.1.

Role in dependence graphs

Proof-critical source

Bounded trajectories of quasi-rays

This paper is included only for the following marked statement:

  • Theorem 0.6 · source theorem 0.6; use in Kleinbock–Weiss pp. 8–9Supplies finite-cusp reduction data, the cusp-lattice property, and cusp-overlap separation used to prove parts (2)–(3) of Kleinbock–Weiss Proposition 3.1.

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