Implementing the Kustin-Miller complex construction. The Kustin-Miller complex construction, due to A. Kustin and M. Miller, can be applied to a pair of resolutions of Gorenstein rings with certain properties to obtain a new Gorenstein ring and a resolution of it. It gives a tool to construct and analyze Gorenstein rings of high codimension. We describe the Kustin-Miller complex, its implementation in the Macaulay2 package KustinMiller, and explain how it can be applied to explicit examples.
Keywords for this software
References in zbMATH (referenced in 4 articles , 1 standard article )
Showing results 1 to 4 of 4.
- Böhm, Janko; Decker, Wolfram; Frühbis-Krüger, Anne; Pfreundt, Franz-Josef; Rahn, Mirko; Ristau, Lukas: Towards massively parallel computations in algebraic geometry (2021)
- Böhm, Janko; Frühbis-Krüger, Anne: A smoothness test for higher codimensions (2018)
- Böhm, Janko; Papadakis, Stavros Argyrios: Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes (2013)
- Böhm, Janko; Papadakis, Stavros Argyrios: Implementing the Kustin-Miller complex construction (2012)