Indian statistical institute

Research in Commutative Algebra Area: Affine Fibrations

Detailed investigation of the structure, properties and examples of faithfully flat algebras over Noetherian normal domains, which are locally A¹ in codimension-one, have been completed. [S.M.Bhatwadekar, Amartya K. Dutta and Nobuharu Onoda]

Results have been proved on the sufficiency of codimension-one fibre conditions for a flat algebra with a retraction to be an A¹ fibration. [Prosenjit Das and Amartya K. Dutta]

An epimorphism theorem of David Wright on planes of the form f(X,Y)Z^n-g (X,Y) has been extended to discrete valutation rings and to seminormal domains containing fields. [Prosenjit Das and Amartya K. Dutta]

Some patching results have been obtained on algebras over two-dimensional
factorial domains. [Amartya K. Dutta, Neena Gupta and Nobuharu Onoda ]