Results 1 to 10 of about 25 (25)

Examples of surfaces with canonical map of degree 4 [PDF]

Épijournal de Géométrie Algébrique, 2022
We give two examples of surfaces with canonical map of degree 4 onto a canonical surface.
Carlos Rito
doaj   +1 more source

On equations of fake projective planes with automorphism group of order $21$ [PDF]

Épijournal de Géométrie Algébrique, 2023
We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of two new pairs of fake projective plane with $21$ automorphisms, thus finishing the task of finding explicit equations of fake projective planes with this
Lev Borisov
doaj   +1 more source

Simple fibrations in $(1,2)$ -surfaces

Forum of Mathematics, Sigma, 2023
We introduce the notion of a simple fibration in $(1,2)$ -surfaces – that is, a hypersurface inside a certain weighted projective space bundle over a curve such that the general fibre is a minimal surface of general type with $p_g=2$ and
Stephen Coughlan, Roberto Pignatelli
doaj   +1 more source

Upper bounds on the genus of hyperelliptic Albanese fibrations

Forum of Mathematics, Sigma
Let S be a minimal irregular surface of general type, whose Albanese map induces a hyperelliptic fibration $f:\,S \to B$ of genus g. We prove a quadratic upper bound on the genus g (i.e., $g\leq h\big (\chi (\mathcal {O}_S)\big )$ , where h ...
Songbo Ling, Xin Lü
doaj   +1 more source

2-Gorenstein stable surfaces with $K_X^2 = 1$ and $\chi (X) = 3$

Forum of Mathematics, Sigma
The compactification $\overline {\mathfrak M}_{1,3}$ of the Gieseker moduli space of surfaces of general type with $K_X^2 =1 $ and $\chi (X)=3$ in the moduli space of stable surfaces parametrises the so-called stable I-surfaces.
Stephen Coughlan, Marco Franciosi, Rita Pardini, Sonke Rollenske   +3 more
doaj   +1 more source

On the moduli spaces of surfaces of general type

Journal of Differential Geometry, 1984
Fabrizio Catanese
exaly  

Rational blowdowns of smooth 4-manifolds

Journal of Differential Geometry, 1997
Ronald Fintushel, Ronald J Stern
exaly  

Algebraic surfaces of general type with $c^2_1=3p_g-7$

Tohoku Mathematical Journal, 1990
Tadashi Ashikaga, Kazuhiro Konno
exaly  

Complex manifold geography in dimension 2 and 3

Journal of Differential Geometry, 1989
Bruce Hunt
exaly  

A surface with q = 2 and canonical map of degree 16

Michigan Mathematical Journal, 2017
CARLOS Rito
exaly