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Commutative Algebra

Homological Methods

13Dxx

[1] Selma Altınok, Gavin Brown, and Miles Reid. Fano 3-folds, K3 surfaces and graded rings. In Topology and Geometry: Commemorating SISTAG, volume 314 of Contemp. Math., pages 25–53. Amer. Math. Soc., Providence, RI, 2002.
[2] Gavin Brown. Graded rings and special K3 surfaces. In Discovering Mathematics with Magma, volume 19 of Algorithms Comput. Math., pages 137–159. Springer, Berlin, 2006.
[3] Laurent Busé and Jean-Pierre Jouanolou. On the closed image of a rational map and the implicitization problem. J. Algebra, 265(1):312–357, 2003.
[4] Jeffrey B. Farr and Shuhong Gao. Computing Gröbner bases for vanishing ideals of finite sets of points. In Applied Algebra, Algebraic Algorithms and Error-correcting Codes, volume 3857 of Lecture Notes in Comput. Sci., pages 118–127. Springer, Berlin, 2006.
[5] Ian Hughes and Gregor Kemper. Symmetric powers of modular representations, Hilbert series and degree bounds. Comm. Algebra, 28(4):2059–2088, 2000.
[6] Ian Hughes and Gregor Kemper. Symmetric powers of modular representations for groups with a Sylow subgroup of prime order. J. Algebra, 241(2):759–788, 2001.
[7] Mikael Johansson. Computation of Poincaré-Betti series for monomial rings. Rend. Istit. Mat. Univ. Trieste, 37(1-2):85–94 (2006), 2005.
[8] Gregor Kemper. Computational invariant theory. In The Curves Seminar at Queen's. Vol. XII (Kingston, ON, 1998), volume 114 of Queen's Papers in Pure and Appl. Math., pages 5–26. Queen's Univ., Kingston, ON, 1998.
[9] Gregor Kemper and Allan Steel. Some algorithms in invariant theory of finite groups. In Computational Methods for Representations of Groups and Algebras (Essen, 1997), volume 173 of Progr. Math., pages 267–285. Birkhäuser, Basel, 1999.

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