Birs- 18w5012: Rational and Integral Points via Analytic and Geometric Methods

  1. Title:
    Variation of the Mordell-Weil rank in families of abelian varieties

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  2. Title:
    Prime (and squarefree) values of polynomials in moderately many variables

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  3. Title:
    On uniformity conjectures for abelian varieties and K3 surfaces over number fields

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  4. Title:
    Cycles in the supersingular l-isogeny graphs and corresponding endomorphisms

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  5. Title:
    Variation of the root number in families of elliptic curves

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  6. Title:
    Weak and strong approximation for a group scheme

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  7. Title:
    Irrational points on random hyperelliptic curves

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  8. Title:
    The behavior of rational points in families

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  9. Title:
    Rational points over $C_1$-fields of characteristic 0

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  10. Title:
    An Erdős-Kac law for local solubility in families of varieties

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  11. Title:
    Chabauty-Coleman experiments for genus 3 hyperelliptic curves

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  12. Title:
    Density of rational points on certain elliptic K3 surfaces

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  13. Title:
    Integral points on generalised affine Châtelet surfaces

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  14. Title:
    Verifying Zariski density of rational points on del Pezzo surfaces of degree 1

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  15. Title:
    Average bounds for l-torsion in class groups

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  16. Title:
    Slicing the stars: counting algebraic numbers

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  17. Title:
    Odd order transcendental obstructions to the Hasse principle on general K3 surfaces

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  18. Title:
    Obstructions to existence of rational points on curves from subgroups of the Brauer group

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  19. Title:
    Manin's conjecture for a bi-projective variety

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  20. Title:
    Diophantine inequalities for ternary diagonal forms

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