The negative K-theory of normal surfaces
Weibel, Charles
Duke Math. J., Tome 110 (2001) no. 1, p. 1-35 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We relate the negative $K$-theory of a normal surface to a resolution of singularities. The only nonzero $K$-groups are $K\sb {-2}$, which counts loops in the exceptional fiber, and $K\sb {-1}$, which is related to the divisor class groups of the complete local rings at the singularities. We also verify two conjectures of Srinivas about $K\sb 0$-regularity and $K\sb {-1}$ of a surface.
Publié le : 2001-05-15
Classification:  14C35,  13C20,  19E08 
@article{1091737123,
     author = {Weibel, Charles},
     title = {The negative K-theory of normal surfaces},
     journal = {Duke Math. J.},
     volume = {110},
     number = {1},
     year = {2001},
     pages = { 1-35},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1091737123}
}

Weibel, Charles. The negative K-theory of normal surfaces. Duke Math. J., Tome 110 (2001) no. 1, pp.  1-35. http://gdmltest.u-ga.fr/item/1091737123/