Authors
Citation
A. Abbes, Cycles on arithmetic surfaces, COMP MATH, 122(1), 2000, pp. 23-111
Citations number
20
Categorie Soggetti
Mathematics
Journal title
COMPOSITIO MATHEMATICA
ISSN journal
0010437X
→ ACNP
Volume
122
Issue
1
Year of publication
2000
Pages
23 - 111
Database
ISI
SICI code
0010-437X(200005)122:1<23:COAS>2.0.ZU;2-W
Abstract
We develop a localized intersection theory for arithmetic schemes on the mo
del of Fulton's intersection theory. We prove a Lefschetz fixed point formu
la for arithmetic surfaces, and give an application to a conjecture of Serr
e on the existence of Artin's representations for regular local rings of di
mension 2 and unequal characteristic.