Grothendieck Groups for Hypersurface Rings

Name: Work Video:
Duration: 3 min 30 s
Description: Let R and 5 be commutative complete noetherian local Gorenstein domains.If the category of finitely generated maximal Cohen-Macaulay modules over R and S are stably equivalent and the equivalence commutes with the first syzygy functors, then we show that the Grothendieck groups for R and S are isomorphic.In particular, we apply this result to hypersurface rings.
Øyvind Solberg
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