A new characterization of rational surface singularities.
A new construction of a surface of degree having nodes
A new example of a compactification of C3.
A new family of surfaces with and
A new proof of the existence of Kähler-Einstein metrics on A3, II.
A new proof of the existence of Kähler-Einstein metrics on K3, I.
A note about the isotropy groups of 2-plane bundles over closed surfaces.
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 note on a theorem of Xiao Gang.
In 1985 Xiao Gang proved that the bicanonical surface of a complex surface S of general type with p2(S) > 2 is not composed of a pencil. In this note a new proof of this theorem is presented.
A Note on compact Kähler manifolds with Nef Tangent Bundles.
A note on complex projective threefolds admitting holomorphic contact structures.
A note on Donaldson polynomials for K3 surfaces.
A note on Enriques' surfaces in characteristic 2
A note on k-very ampleness of a bundle on a blown up plane.
A note on minimal Galois embeddings of abelian surfaces
A note on Z/p/-actions on K3 surfaces in odd characteristic p.
A proof of Noether's formula for the arithmetic genus of an algebraic surface
A proof of the birationality of certain BHK-mirrors
We generalize and give an elementary proof of Kelly’s refinement [9] of Shoemaker’s result [11] on the birationality of certain BHK-mirrors. Our approach uses a construction that is equivalent to the Krawitz generalization [10] of the duality in Berglund-Hübsch [2].
À propos de la construction de l'espace de modules des faisceaux semi-stables sur le plan projectif