On generalised Danielewski and Asanuma varieties

Authors

Parnashree Ghosh, Indian Statistical Institute, Kolkata
Neena Gupta, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Algebra

Abstract

In this paper we extend a result of Dubouloz on the Cancellation Problem in higher dimensions (⩾2) over the field of complex numbers to fields of arbitrary characteristic. We then apply the generalised result to describe the Makar-Limanov and Derksen invariant of generalised Asanuma varieties under certain hypotheses. We also establish a necessary and sufficient condition for certain generalised Asanuma varieties to be isomorphic to polynomial rings.

First Page

226

Last Page

250

DOI

https://10.1016/j.jalgebra.2023.05.028

Publication Date

10-15-2023

Comments

Open Access, Green

Recommended Citation

Ghosh, Parnashree and Gupta, Neena, "On generalised Danielewski and Asanuma varieties" (2023). Journal Articles. 3535.
https://digitalcommons.isical.ac.in/journal-articles/3535