A bound for the degree of smooth surfaces in not of general type
A new family of surfaces with and
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 remark on the geography of surfaces with birational canonical morphisms.
A surface of general type with Pg = q = 0, K2 = 1.
Adjunction mappings on numerical quadrics.
Algebraic surfaces of general type with c21 = 3pg - 6.
Algebraic surfaces of general type with P9 smaller or equal to 7 and K very ample
Algebraic surfaces whose canonical image has a pencil of rational curves of degree two.
Automorphisms of order three on numerical Godeaux surfaces
We prove that a numerical Godeaux surface cannot have an automorphism of order three.
Birational Properties of Moduli spaces of stable locally free rank-2 sheaves on algebraic surfaces.
Bounding automorphism groups.
Bounds for the number of moduli for irregular varieties of general type.
Brill–Noether loci for divisors on irregular varieties
We take up the study of the Brill-Noether loci , where is a smooth projective variety of dimension , , and is an integer. By studying the infinitesimal structure of these loci and the Petri map (defined in analogy with the case of curves), we obtain lower bounds for , where is a divisor that moves linearly on a smooth projective variety of maximal Albanese dimension. In this way we sharpen the results of [Xi] and we generalize them to dimension . In the -dimensional case we prove an...
Canonical images of surfaces.
Canonical models of surfaces of general type in positive characteristic
Certain algebraic surfaces with non-reduced moduli space.
Courbes entières dans les surfaces algébriques complexes
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.