New definitions of joint reductions and mixed Buchsbaum-Rim multiplicities for modules are used to prove a joint-reduction-number-zero theorem for integrally closed modules over two-dimensional regular local rings.
Relative mixed multiplicities and mixed Buchsbaum-Rim multiplicities
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We define and study the natural multigraded extension of the relative multiplicities introduced by Simis, Ulrich and Vasconcelos. We call these new invariants relative mixed multiplicities. We show that they have a stable value equal to the mixed Buchsbaum-Rim multiplicity of Kleiman and Thorup. Furthermore, we prove that integral dependence and birationality can be detected via the vanishing of relative mixed multiplicities.
fields
math.AC 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Joint reductions and mixed Buchsbaum-Rim multiplicities of modules and a joint-reduction-number-zero theorem
New definitions of joint reductions and mixed Buchsbaum-Rim multiplicities for modules are used to prove a joint-reduction-number-zero theorem for integrally closed modules over two-dimensional regular local rings.