On Even surfaces of general type with
On Galois covers of Hirzebruch surfaces.
On moduli of regular surfaces with and .
On Reider's method for surfaces in positive characterstic.
On some components of moduli space of surfaces of general type
On surfaces of general type with pg = q = 1, K2 = 3.
The moduli space M of surfaces of general type with pg = q = 1, K2 = g = 3 (where g is the genus of the Albanese fibration) was constructed by Catanese and Ciliberto in [14]. In this paper we characterize the subvariety M2 ⊂ M corresponding to surfaces containing a genus 2 pencil, and moreover we show that there exists a non-empty, dense subset M0 ⊂ M which parametrizes isomorphism classes of surfaces with birational bicanonical map.
On surfaces with p = q = 1 and non-ruled bicanonical involution
This paper classifies surfaces of general type with having an involution such that has non-negative Kodaira dimension and that the bicanonical map of factors through the double cover induced by It is shown that is regular and either: a) the Albanese fibration of is of genus 2 or b) has no genus 2 fibration and is birational to a surface. For case a) a list of possibilities and examples are given. An example for case b) with is also constructed.
On surfaces with and non-birational bicanonical maps.
On the automorphisms of surfaces of general type in positive characteristic
Here we give an explicit polynomial bound (in term of and not depending on the prime ) for the order of the automorphism group of a minimal surface of general type defined over a field of characteristic .
On the automorphisms of surfaces of general type in positive characteristic, II
Here we give an upper polynomial bound (as function of but independent on ) for the order of a -subgroup of with minimal surface of general type defined over the field with . Then we discuss the non existence of similar bounds for the dimension as -vector space of the structural sheaf of the scheme .
On the Hilbert Scheme of Curves in Higher-dimensional Projective Space.
On the Horizontal Base Locus of Multiples of Tautological Sheaves of Projectived Cotangent Bundles, II.
On the Infinitesimal Torelli Theorem for Certain irregular Surfaces of General Type.
On the Kodaira dimension of moduli spaces of abelian surfaces
On the minimal number of singular fibres in a family of surfaces of general type.
Orientation-reversing homeomorphisms in surface geography.
Plane curves whose singular points are cusps and triple coverings of p2.
Polynomial bounds for the number of automorphisms of a surface of general type
Pre-Tango structures and uniruled varieties
The pre-Tango structure is an ample invertible sheaf of locally exact differentials on a variety of positive characteristic. It is well known that pre-Tango structures on curves often induce pathological uniruled surfaces. We show that almost all pre-Tango structures on varieties induce higher-dimensional pathological uniruled varieties, and that each of these uniruled varieties also has a pre-Tango structure. For this purpose, we first consider the p-closed rational vector field induced...
Prym varieties and the canonical map of surfaces of general type