Event calendar file
School of Mathematics Colloquium
Some results on finite generation of algebras of certain type
by Prof. Nobuharu Onoda (Fukui University, Japan)
Thursday, March 24, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( AG-69 )
at Colaba Campus ( AG-69 )
| Description |
Let R be a commutative Noetherian domain and A an integral domain containing R. For a prime ideal P in R, we denote by $k(P)$ the residue field $R_p/PR_p$ of the local ring $R_p$. Then the ring $k(P) \otimes_R A$ is called the fibre of A over R at P. Let $\Delta$ be a subset of ${\rm Spec }(R)$, and suppose that the structure of fibre $k(P)\otimes_R A$ is given for every P in
$\Delta$. Then what can we say about the structure of A as an R-algebra? This is an interesting and important problem of commutative algebra. In this talk I shall present some results regarding this problem focussed on finite generation of A over R.
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| Organised by | Aravindakshan T |
