On a conjecture of Murthy

Authors

Mrinal Kanti Das, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Advances in Mathematics

Abstract

This article concerns Murthy's conjecture on complete intersections, made in 1975. The sole breakthrough on this conjecture has still been the result proved by Mohan Kumar in 1978. The conjecture is open in general. In this article we improve Mohan Kumar's bound when the base field is F‾p. As an application, we prove that any local complete intersection surface in the affine space AF‾pd is a set-theoretic complete intersection, generalizing a result of Bloch–Murthy–Szpiro.

First Page

326

Last Page

338

DOI

10.1016/j.aim.2018.04.012

Publication Date

6-20-2018

Comments

All Open Access, Bronze

Recommended Citation

Das, Mrinal Kanti, "On a conjecture of Murthy" (2018). Journal Articles. 1344.
https://digitalcommons.isical.ac.in/journal-articles/1344