A computation of invariants of a rational self-map
I prove the algebraic stability and compute the dynamical degrees of C. Voisin’s rational self-map of the variety of lines on a cubic fourfold.
A counterexample to the strong real Jocobian conjecture.
A few remarks on blowing-up and connectedness.
A filtered Bertini-type theorem.
A Finiteness Property of Varieties of General Type.
A gallery of iterated correspondences.
A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4
We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
A note on a theorem of Horikawa.
In this paper we classify the algebraic surfaces on C with KS2=4, pg=3 and canonical map of degree d=3. By our result and the previous one of Horikawa (1979) we obtain the complete determination of surfaces with K2=4 and pg=3.
A remark on the geography of surfaces with birational canonical morphisms.
A set on which the Łojasiewicz exponent at infinity is attained
We show that for a polynomial mapping the Łojasiewicz exponent of F is attained on the set .
A survey on symplectic singularities and symplectic resolutions
This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions.
Acerca del genero virtual de la superficies algebráicas.
Algebraic non-integrability of the Cohen map.
Algebraic Surfaces of General Type with Small c... . III.
Algebraic Surfaces of General Type With Small ... . IV.
Algebraische und topologische reelle Zykeln unter birationalen Transformationen.
An asymptotic higher order very ampleness theorem for blowings-up of projective spaces at general points
An injective rational map of an abstract algebraic variety into itself.
Applications rationnelles séparables dominantes sur une variété de type général
Approximation of holomorphic maps by algebraic morphisms
Let X be a nonsingular complex algebraic curve and let Y be a nonsingular rational complex algebraic surface. Given a compact subset K of X, every holomorphic map from a neighborhood of K in X into Y can be approximated by rational maps from X into Y having no poles in K. If Y is a nonsingular projective complex surface with the first Betti number nonzero, then such an approximation is impossible.