Integral extensions and the a-invariant
Commutative Algebra
2011-05-31 v1
Abstract
In this note we compare the a-invariant of a homogeneous algebra B to the a-invariant of a subalgebra A. In particular we show that if is a finite homogeneous inclusion of standard graded domains over an algebraically closed field with A normal and B of minimal multiplicity then A has minimal multiplicity. In some sense these results are algebraic generalizations of Hurwitz type theorems.
Cite
@article{arxiv.1105.5722,
title = {Integral extensions and the a-invariant},
author = {Andrew Kustin and Claudia Polini and Bernd Ulrich},
journal= {arXiv preprint arXiv:1105.5722},
year = {2011}
}