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Creators/Authors contains: "Lawrence, Brian"

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  1. ; ; (, International Mathematics Research Notices)
    Abstract Let $$X$$ be a quasi-projective variety over a number field, admitting (after passage to $$\mathbb {C}$$) a geometric variation of Hodge structure whose period mapping has zero-dimensional fibers. Then the integral points of $$X$$ are sparse: the number of such points of height $$\leq B$$ grows slower than any positive power of $$B$$. For example, homogeneous integral polynomials in a fixed number of variables and degree, with discriminant divisible only by a fixed set of primes, are sparse when considered up to integral linear substitutions. 
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  2. ; (, Comptes Rendus. Mathématique)
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  3. ; (, Inventiones mathematicae)
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  4. ; (, Rendiconti Lincei - Matematica e Applicazioni)
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