Integral points on threefolds and other varieties

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概要

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• We prove sufficient conditions for the degeneracy of integral points on certain threefolds and other varieties of higher dimension. In particular, under a normal crossings assumption, we prove the degeneracy of integral points on an affine threefold with seven ample divisors at infinity. Analogous results are given for holomorphic curves. As in our previous works [2], [5], the main tool involved is Schmidt's Subspace Theorem, but here we introduce a technical novelty which leads to stronger results in dimension three or higher.

著者

• Corvaja Pietro

  Dipartimento di Matematica e Informatica, Universita di Udine

• Levin Aaron

  Centro De Giorgi Collegio Puteano Scuola Normale Superiore

• Zannier Umberto

  Scuola Normale Superiore

• Corvaja Pietro

  Dipartimento Di Matematica E Informatica Universita Di Udine

関連論文

• Upper bound for the $\gcd(u-1, v-1)$, $u,v$ $S$-units, generalisations [generalizations] and applications (Analytic number theory and related topics)
• Integral points on threefolds and other varieties

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