Mathematics – Commutative Algebra
Scientific paper
2011-05-28
Mathematics
Commutative Algebra
Scientific paper
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 $A \subset B$ 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.
Kustin Andrew
Polini Claudia
Ulrich Bernd
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