Serre's Conjecture: Finitely generated projective modules over polynomial rings
We start by proving that all finitely generated projective R-modules, where R=k[x(1),...,x(n)] and k is a field, are stably free. Then we show that all stably free projective modules over a ring with the unimodular column property are free before showing that the polynomial ring R has the unimodular column property.
Place, publisher, year, edition, pages
Institutt for matematiske fag , 2013. , 71 p.
IdentifiersURN: urn:nbn:no:ntnu:diva-24053Local ID: ntnudaim:9385OAI: oai:DiVA.org:ntnu-24053DiVA: diva2:696085
Bergh, Petter Andreas, Professor