AbstractLet X be a geometrically irreducible smooth projective curve defined over the real numbers. Let nX be the number of connected components of the locus of real points of X. Let x1,…,xℓ be real points from ℓ distinct components, with ℓ<nX. We prove that the divisor x1+⋯+xℓ is rigid. We also give a very simple proof of the Harnack's inequality
Moduli stacks of vector bundles on curves and the King–Schofield rationality proof.Let C be a connec...
International audienceWe provide an infinite sequence of upper bounds for the number of rational poi...
Abstract. Let X be a smooth projective curve over R. In the first part, we study e¤ective divi-sors ...
Let X be a geometrically irreducible smooth projective curve defined over the real numbers. Let nX b...
AbstractLet X be a geometrically irreducible smooth projective curve defined over the real numbers. ...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
AbstractWe improve Clifford's Inequality for real algebraic curves. As an application we improve Har...
This master thesis studies several properties of real plane algebraic curves, focusing on the case o...
We study the number of rational points of smooth projective curves over finite fields in some relati...
Let C be an affine or projective smooth real algebraic curve, having a non-empty real part. Then eve...
International audienceGiven a real algebraic curve, embedded in projective space, we study the compu...
In english, 13 pagesLet G/Q be an homogeneous variety embedded in a projective space P thanks to an ...
Abstract. Here we study the integers (d, g, r) such that on a smooth projective curve of genus g the...
Abstract. In this article we give a numerical criterion, valid in all characteristics, for the very ...
Abstract. For all integers r ≥ 2 and any smooth and connected projective curve X, let ρX(r) denote t...
Moduli stacks of vector bundles on curves and the King–Schofield rationality proof.Let C be a connec...
International audienceWe provide an infinite sequence of upper bounds for the number of rational poi...
Abstract. Let X be a smooth projective curve over R. In the first part, we study e¤ective divi-sors ...
Let X be a geometrically irreducible smooth projective curve defined over the real numbers. Let nX b...
AbstractLet X be a geometrically irreducible smooth projective curve defined over the real numbers. ...
. The Harnack bound on the number of real components of a plane real algebraic curve has a natural l...
AbstractWe improve Clifford's Inequality for real algebraic curves. As an application we improve Har...
This master thesis studies several properties of real plane algebraic curves, focusing on the case o...
We study the number of rational points of smooth projective curves over finite fields in some relati...
Let C be an affine or projective smooth real algebraic curve, having a non-empty real part. Then eve...
International audienceGiven a real algebraic curve, embedded in projective space, we study the compu...
In english, 13 pagesLet G/Q be an homogeneous variety embedded in a projective space P thanks to an ...
Abstract. Here we study the integers (d, g, r) such that on a smooth projective curve of genus g the...
Abstract. In this article we give a numerical criterion, valid in all characteristics, for the very ...
Abstract. For all integers r ≥ 2 and any smooth and connected projective curve X, let ρX(r) denote t...
Moduli stacks of vector bundles on curves and the King–Schofield rationality proof.Let C be a connec...
International audienceWe provide an infinite sequence of upper bounds for the number of rational poi...
Abstract. Let X be a smooth projective curve over R. In the first part, we study e¤ective divi-sors ...
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