Homological Methods
- Selma Altınok, Gavin Brown, and Miles Reid, Fano 3-folds, K3 surfaces and graded rings, Topology and Geometry: Commemorating SISTAG, Contemp. Math., vol. 314, Amer. Math. Soc., Providence, RI, 2002, pp. 25–53.[MR]
- Gavin Brown, Graded rings and special K3 surfaces, Discovering Mathematics with Magma, Algorithms Comput. Math., vol. 19, Springer, Berlin, 2006, pp. 137–159.[MR]
- Laurent Busé and Jean-Pierre Jouanolou, On the closed image of a rational map and the implicitization problem, J. Algebra 265 (2003), no. 1, 312–357.[MR]
- Jeffrey B. Farr and Shuhong Gao, Computing Gröbner bases for vanishing ideals of finite sets of points, Applied Algebra, Algebraic Algorithms and Error-correcting Codes, Lecture Notes in Comput. Sci., vol. 3857, Springer, Berlin, 2006, pp. 118–127.[MR]
- Ian Hughes and Gregor Kemper, Symmetric powers of modular representations, Hilbert series and degree bounds, Comm. Algebra 28 (2000), no. 4, 2059–2088.[MR]
- Ian Hughes and Gregor Kemper, Symmetric powers of modular representations for groups with a Sylow subgroup of prime order, J. Algebra 241 (2001), no. 2, 759–788.[MR]
- Mikael Johansson, Computation of Poincaré-Betti series for monomial rings, Rend. Istit. Mat. Univ. Trieste 37 (2005), no. 1-2, 85–94 (2006).[MR]
- Gregor Kemper, Computational invariant theory, The Curves Seminar at Queen's. Vol. XII (Kingston, ON, 1998), Queen's Papers in Pure and Appl. Math., vol. 114, Queen's Univ., Kingston, ON, 1998, pp. 5–26.[MR]
- Gregor Kemper and Allan Steel, Some algorithms in invariant theory of finite groups, Computational Methods for Representations of Groups and Algebras (Essen, 1997), Progr. Math., vol. 173, Birkhäuser, Basel, 1999, pp. 267–285.[MR]
- Peter Symonds, Cyclic group actions on polynomial rings, Bull. Lond. Math. Soc. 39 (2007), no. 2, 181–188.[MR/link]