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The Multiplicity Conjecture in low codimensions by Migliore, Juan C.; Nagel, Uwe; Römer, Tim is a scholarly article available to read on EtoBox.

What is The Multiplicity Conjecture in low codimensions about?

We establish the multiplicity conjecture of Herzog, Huneke, and Srinivasan about the multiplicity of graded Cohen-Macaulay algebras over a field, for codimension two algebras and for Gorenstein algebras of codimension three. In fact, we prove stronger bounds than the conjectured ones allowing us to characterize the extremal cases. This may be seen as a converse to the multiplicity formula of Huneke and Miller that inspired the conjectural bounds.

Author

Migliore, Juan C.; Nagel, Uwe; Römer, Tim

Published

2004

Language

EN