Castelnuovo–Mumford Regularity and Arithmetic Cohen–Macaulayness of Complete Bipartite Subspace Arrangements

Zach Teitler; Douglas A. Torrence

doi:10.1016/j.jpaa.2014.07.027

Castelnuovo–Mumford Regularity and Arithmetic Cohen–Macaulayness of Complete Bipartite Subspace Arrangements

Zach Teitler, Douglas A. Torrence

Mathematics Department

University of Idaho

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We give the Castelnuovo–Mumford regularity of arrangements of (n−2)-planes in Pⁿ whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen–Macaulay.

Original language	American English
Pages (from-to)	2134-2138
Number of pages	5
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2014.07.027
State	Published - Jun 2015

Keywords

13D02
13H10
14N20

EGS Disciplines

Mathematics

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10.1016/j.jpaa.2014.07.027

Cite this

@article{fae9a4ad4ee144c1a4801d3b5432a4ba,

title = "Castelnuovo–Mumford Regularity and Arithmetic Cohen–Macaulayness of Complete Bipartite Subspace Arrangements",

abstract = " We give the Castelnuovo–Mumford regularity of arrangements of (n−2)-planes in Pn whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen–Macaulay.",

keywords = "13D02, 13H10, 14N20",

author = "Zach Teitler and Torrence, \{Douglas A.\}",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

month = jun,

doi = "10.1016/j.jpaa.2014.07.027",

language = "American English",

volume = "219",

pages = "2134--2138",

number = "6",

}

TY - JOUR

T1 - Castelnuovo–Mumford Regularity and Arithmetic Cohen–Macaulayness of Complete Bipartite Subspace Arrangements

AU - Teitler, Zach

AU - Torrence, Douglas A.

PY - 2015/6

Y1 - 2015/6

N2 - We give the Castelnuovo–Mumford regularity of arrangements of (n−2)-planes in Pn whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen–Macaulay.

AB - We give the Castelnuovo–Mumford regularity of arrangements of (n−2)-planes in Pn whose incidence graph is a sufficiently large complete bipartite graph, and determine when such arrangements are arithmetically Cohen–Macaulay.

KW - 13D02

KW - 13H10

KW - 14N20

UR - https://www.scopus.com/pages/publications/84921028472

UR - https://scholarworks.boisestate.edu/math_facpubs/144

U2 - 10.1016/j.jpaa.2014.07.027

DO - 10.1016/j.jpaa.2014.07.027

M3 - Article

SN - 0022-4049

VL - 219

SP - 2134

EP - 2138

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 6

ER -

Castelnuovo–Mumford Regularity and Arithmetic Cohen–Macaulayness of Complete Bipartite Subspace Arrangements

Abstract

Keywords

EGS Disciplines

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