We classify log-canonical pairs $(X, \Delta)$ of dimension two with
$K_X+\Delta$ an ample Cartier divisor with $(K_X+\Delta)^2=1$, giving some
applications to stable surfaces with $K^2=1$. A rough classification is also
given in the case $\Delta=0$

Franciosi, Marco

Pardini, Rita

Rollenske, Sönke

English

arXiv

We classify log-canonical pairs (X,D ) of dimension two such that K_X +D  is an ample Cartier divisor with (K_X +D ^)2 = 1, giving some applications to stable surfaces with K^2 = 1. A rough classification is also given in the case where D = 0

FRANCIOSI, MARCO

PARDINI, RITA

Rollenske Soenke

Archivio della Ricerca - Università di Pisa

Log-canonical pairs and Gorenstein stable surfaces with K2X=1

We classify log-canonical pairs (X,∆) of dimension two with KX+∆ an ample Cartier divisor with (KX + ∆)2 = 1, giving some applications to stable surfaces with K2 = 1. A rough classification is also given in the case ∆  = 0

Marco Franciosi

Rita Pardini

Sönke Rollenske

CiteSeerX

LOG-CANONICAL PAIRS AND GORENSTEIN STABLE SURFACES WITH K2X = 1