We prove that the maximal number of conics in a smooth sextic $K3$-surface $X\subset\mathbb{P}^4$ is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible.Comment: Final version appearing in Nagoya Math.
We prove several classification results for the components of the moduli space of rational curves on...
A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have mor...
AbstractThis article contains a modern proof of the fact that, given a surface in P3 of degree m, wh...
We show that the maximal number of planes in a complex smooth cubic fourfold in ${\mathbb P}^5$ is $...
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studyin...
We show that the maximal number of singular points of a normal quartic surface $X \subset \mathbb{P}...
We construct a non-Kummer projective K3 surface $X$ which admits compactLevi-flats by holomorphicall...
Paranjape showed that K3 surfaces that are double covers of P^2 branched along six lines are dominat...
Il découle des restrictions connues sur la topologie d'une variété algébrique réelle que le nombre d...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
We study the effective cones of cycles on universal hypersurfaces on a projective variety $X$, parti...
K3 surfaces have been studied from many points of view, but the positivity ofthe cotangent bundle is...
We explicitly construct a component of the K-moduli space of K-polystable del Pezzo surfaces which i...
29 pagesNikulin and Vinberg proved that there are only a finite number of lattices of rank $\geq 3$ ...
We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspond...
We prove several classification results for the components of the moduli space of rational curves on...
A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have mor...
AbstractThis article contains a modern proof of the fact that, given a surface in P3 of degree m, wh...
We show that the maximal number of planes in a complex smooth cubic fourfold in ${\mathbb P}^5$ is $...
We explain a strategy for distinguishing Brill-Noether loci in the moduli space of curves by studyin...
We show that the maximal number of singular points of a normal quartic surface $X \subset \mathbb{P}...
We construct a non-Kummer projective K3 surface $X$ which admits compactLevi-flats by holomorphicall...
Paranjape showed that K3 surfaces that are double covers of P^2 branched along six lines are dominat...
Il découle des restrictions connues sur la topologie d'une variété algébrique réelle que le nombre d...
We prove that if $X$ is a complex projective K3 surface and $g>0$, then there exist infinitely many ...
We study the effective cones of cycles on universal hypersurfaces on a projective variety $X$, parti...
K3 surfaces have been studied from many points of view, but the positivity ofthe cotangent bundle is...
We explicitly construct a component of the K-moduli space of K-polystable del Pezzo surfaces which i...
29 pagesNikulin and Vinberg proved that there are only a finite number of lattices of rank $\geq 3$ ...
We study the Hodge conjecture for powers of K3 surfaces and show that if the Kuga--Satake correspond...
We prove several classification results for the components of the moduli space of rational curves on...
A complex K3 surface or an algebraic K3 surface in characteristics distinct from $2$ cannot have mor...
AbstractThis article contains a modern proof of the fact that, given a surface in P3 of degree m, wh...
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