Geodesic
MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 143-165

Voir la notice de l'article provenant de la source Cambridge

DOI

A mixed quasi-étale quotient is the quotient of the product of a curve of genus at least 2 with itself by the action of a group which exchanges the two factors and acts freely outside a finite subset. A mixed quasi-étale surface is the minimal resolution of its singularities. We produce an algorithm computing all mixed quasi-étale surfaces with given geometric genus, irregularity and self-intersection of the canonical class. We prove that all irregular mixed quasi-étale surfaces of general type are minimal. As an application, we classify all irregular mixed quasi-étale surfaces of general type with genus equal to the irregularity, and all the regular ones with K2 > 0, thus constructing new examples of surfaces of general type with χ = 1. We mention the first example of a minimal surface of general type with pg = q = 1 and Albanese fibre of genus bigger than K2.
DOI : 10.1017/S0017089514000184
Mots-clés : 14J29, 58E40, 14Q10 
FRAPPORTI, DAVIDE; PIGNATELLI, ROBERTO. MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 143-165. doi: 10.1017/S0017089514000184
@article{10_1017_S0017089514000184,
     author = {FRAPPORTI, DAVIDE and PIGNATELLI, ROBERTO},
     title = {MIXED {QUASI-\'ETALE} {QUOTIENTS} {WITH} {ARBITRARY} {SINGULARITIES}},
     journal = {Glasgow mathematical journal},
     pages = {143--165},
     year = {2015},
     volume = {57},
     number = {1},
     doi = {10.1017/S0017089514000184},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000184/}
}
TY  - JOUR
AU  - FRAPPORTI, DAVIDE
AU  - PIGNATELLI, ROBERTO
TI  - MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES
JO  - Glasgow mathematical journal
PY  - 2015
SP  - 143
EP  - 165
VL  - 57
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000184/
DO  - 10.1017/S0017089514000184
ID  - 10_1017_S0017089514000184
ER  - 
%0 Journal Article
%A FRAPPORTI, DAVIDE
%A PIGNATELLI, ROBERTO
%T MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES
%J Glasgow mathematical journal
%D 2015
%P 143-165
%V 57
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000184/
%R 10.1017/S0017089514000184
%F 10_1017_S0017089514000184

Cité par Sources :