Castelnuovo–Mumford regularity in biprojective spaces

By J. W. Hoffman, And Hao, H. Wang. 2002

54 citations recorded by the source corpus.

We define the concept of regularity for bigraded modules over a bigraded polynomial ring. In this setting we prove analogs of some of the classical results on m-regularity for graded modules over polynomial algebras.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b949c433b7d8e43923439ae3e7c2b05c2da07ecd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Adam Van Tuyl
2. Jessica Sidman
3. Huy Tài Hà
4. Russ Woodroofe
5. K. Kimura
6. Arindam Banerjee

In Geometry and Topology

1. Adam Van Tuyl
2. Jessica Sidman
3. Huy Tài Hà
4. Russ Woodroofe
5. K. Kimura

Citations in the corpus

• Multigraded Regularity: Syzygies and Fat Points (2004, background): “…graded module over a Z-graded polynomial ring over k, its CastelnuovoMumford regularity, denoted reg(M), is an invariant that measures the difficulty of computations involving M. Recently, several authors (cf. [1, 18, 19]) have proposed extensions of the notion of regularity to a multigraded…”