<p>Problems on Affine Fibrations and Affine Forms are among the fundamental questions in Affine Algebraic Geometry. They have turned out to be closely, and often symbiotically, related to other challenging problems in Affine Algebraic Geometry, like the Epimorphism Problem and the Zariski Cancellation Problem. In this survey article, we highlight some of the known partial results and open questions on affine fibrations, Laurent polynomial fibrations and affine forms and their connections with other problems, with special emphasis on contributions by Indian mathematicians.</p>

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Studies on Affine Fibrations and Affine Forms

  • Amartya K. Dutta,
  • Neena Gupta

摘要

Problems on Affine Fibrations and Affine Forms are among the fundamental questions in Affine Algebraic Geometry. They have turned out to be closely, and often symbiotically, related to other challenging problems in Affine Algebraic Geometry, like the Epimorphism Problem and the Zariski Cancellation Problem. In this survey article, we highlight some of the known partial results and open questions on affine fibrations, Laurent polynomial fibrations and affine forms and their connections with other problems, with special emphasis on contributions by Indian mathematicians.