论文信息 - The cone of Betti tables over three non-collinear points in the plane - 字舞流文

The cone of Betti tables over three non-collinear points in the plane

We describe the cone of Betti tables of all finitely generated graded modules over the homogeneous coordinate ring of three non-collinear points in the projective plane. We also describe the cone of Betti tables of all finite length modules.

Steven V. Sam | Iulia Gheorghita

[1] D. Eisenbud,et al. Categorified duality in Boij–Söderberg theory and invariants of free complexes , 2012, 1205.0449.

[2] Steven V. Sam,et al. The cone of Betti tables over a rational normal curve , 2013, 1301.7005.

[3] Courtney R. Gibbons,et al. The cone of Betti diagrams over a hypersurface ring of low embedding dimension , 2011, 1109.5198.

[4] Steven V. Sam,et al. Shapes of free resolutions over a local ring , 2011, 1105.2244.

[5] Gunnar Fløystad. Boij-Söderberg theory: Introduction and survey , 2011, 1106.0381.

[6] Gunnar Fløystad,et al. Combinatorial aspects of commutative algebra and algebraic geometry : the Abel symposium 2009 , 2011 .

[7] M. Boij,et al. Betti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case , 2008, 0803.1645.

[8] M. Boij,et al. Graded Betti numbers of Cohen–Macaulay modules and the multiplicity conjecture , 2006, math/0611081.

[9] D. Eisenbud,et al. Betti numbers of graded modules and cohomology of vector bundles , 2007, 0712.1843.

[10] A. Duncan. COHEN‐MACAULAY MODULES OVER COHEN‐MACAULAY RINGS , 1992 .

[11] Y. Yoshino,et al. Cohen-Macaulay modules over Cohen-Macaulay rings , 1990 .

[12] D. Eisenbud,et al. The classification of homogeneous Cohen-Macaulay rings of finite representation type , 1988 .

[13] J. Herzog,et al. On the bettinumbers of finite pure and linear resolutions , 1984 .