Given a rational fibered surface f : X → P¹ of genus g we prove the inequality 6n+5/n+1 − 9n+12/2g ≤ λ_f , provided that the genus g is sufficiently high with respect to the gonality 2n+3 of the general fibre
Let k be an algebraically closed field of characteristic p > 0 and l a prime that is distinct from ...
We study rational surfaces on very general Fano hypersurfaces in $\mathbb{P}^n$, with an eye toward ...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
We give lower bounds for the slope of higher dimensional fibrations f : X → B over curves under cond...
Slides for a talk given in Lausanne in November 2012 on the results of Colliot-Thélène, Skorobogatov...
Koll\'ar proved that a very general $n$-dimensional complex hypersurface of degree at least $3\lceil...
Let $f: S \longrightarrow C$ be a surjective morphism with connected fibers from a smooth complex pr...
Let f : S → B be a non locally trivial relatively minimal fibred surface. We prove a lower bound for...
We prove asymptotics for the proportion of fibres with a rational point in aconic bundle fibration. ...
Using the theory of moduli of curves, we establish various slope inequalities for general fibered su...
We prove that the genus g, the relative irregularity qf and the Clifford index cf of a non-isotrivia...
We prove that if f : X -> P¹ is a non-isotrivial, semistable, genus 5 fibration defined on a general...
Given a non-trivial fibration from a complex projective smooth surface S to a smooth curve B of genu...
In this paper, we investigate the general notion of the slope for families of curves f:X→Yf:X→Y . T...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
Let k be an algebraically closed field of characteristic p > 0 and l a prime that is distinct from ...
We study rational surfaces on very general Fano hypersurfaces in $\mathbb{P}^n$, with an eye toward ...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
We give lower bounds for the slope of higher dimensional fibrations f : X → B over curves under cond...
Slides for a talk given in Lausanne in November 2012 on the results of Colliot-Thélène, Skorobogatov...
Koll\'ar proved that a very general $n$-dimensional complex hypersurface of degree at least $3\lceil...
Let $f: S \longrightarrow C$ be a surjective morphism with connected fibers from a smooth complex pr...
Let f : S → B be a non locally trivial relatively minimal fibred surface. We prove a lower bound for...
We prove asymptotics for the proportion of fibres with a rational point in aconic bundle fibration. ...
Using the theory of moduli of curves, we establish various slope inequalities for general fibered su...
We prove that the genus g, the relative irregularity qf and the Clifford index cf of a non-isotrivia...
We prove that if f : X -> P¹ is a non-isotrivial, semistable, genus 5 fibration defined on a general...
Given a non-trivial fibration from a complex projective smooth surface S to a smooth curve B of genu...
In this paper, we investigate the general notion of the slope for families of curves f:X→Yf:X→Y . T...
Fix integers r >= 4 and i >= 2 (for r = 4 assume i >= 3). Assume that the rational number s...
Let k be an algebraically closed field of characteristic p > 0 and l a prime that is distinct from ...
We study rational surfaces on very general Fano hypersurfaces in $\mathbb{P}^n$, with an eye toward ...
A conjecture of Manin predicts the asymptotic distribution of rational points of bounded height on F...
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