2 papers
math.AC2005
Algebraic shifting and exterior and symmetric algebra methods
Uwe Nagel, Tim Roemer, Natale Paolo Vinai
We establish results about algebraic shifting of simplicial complexes and use them to compare different shifting operations. In particular, we show that each shifting operation doe…
math.AC2004
Arithmetic degree and associated graded modules
Natale Paolo Vinai
We prove that the arithmetic degree of a graded or local ring is bounded above by the arithmetic degree of any of its associated graded rings with respect to ideals in . In…