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Geometric Lang–Vojta conjecture for integral points on log-general-type pairs
Let $k$ be an algebraically closed field, let $B$ be a nonsingular irreducible algebraic curve over $k$ with function field $K=k(B)$ , and let $(X,D)$ be a pair of log general type…
Conjectureopenalgebraic-geometry integral-points lang-vojta-conjecturearXiv posted 2 days ago
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Lang–Vojta's equivalence conjecture for hyperbolic varieties
Lang–Vojta's conjecture. These three conditions are equivalent. This conjecture proposes that complex-analytic hyperbolicity, geometric log-general type, and pointed finiteness of…
Conjectureopenhyperbolicity lang-vojta-conjecture quasi-projective-varietiesarXiv posted 2 days ago

Geometric Lang–Vojta conjecture for integral points on log-general-type pairs