Asymptotic linearity of multigraded Betti numbers

Keywords

Betti number, Mathematics, Polynomial ring, Finitely-generated abelian group, Noetherian ring

References

• Commutative Algebra: with a View Toward Algebraic GeometryD. Eisenbud — 1995
• Asymptotic behaviour of Castelnuovo-Mumford regularityVijay Kodiyalam — 1999
• Commutative ring theory: FrontmatterH. Matsumura — 1987
• Stabilization of the Regularity of Powers of An IdealDavid Eisenbud, Bernd Ulrich — 2010
• Homological invariants of powers of an idealVijay Kodiyalam — 1993
• Regularity defect stabilization of powers of an idealDavid Berlekamp — 2011
• Stanley decompositions and Hilbert depth in the Koszul complexWinfried Bruns, Christian Krattenthaler, Jan Uliczka — 2009
• Stabilization of Betti tablesGwyneth Whieldon — 2011
• Combinatorial decompositions of a class of ringsKenneth Bacławski, Adriano M. Garsia — 1981
• Powers of Ideals and Fibers of MorphismsDavid Eisenbud, Joe Harris — 2008
• Powers of ideals and the cohomology of stalks and fibers of morphismsMarc Chardin — 2010
• On the asymptotic linearity of Castelnuovo–Mumford regularityNgô Viêt Trung, Hsin-Ju Wang — 2002
• Asymptotic Behaviour of the Castelnuovo-Mumford RegularitySteven Dale Cutkosky, Jürgen Herzog, Ngô Viêt Trung — 1999
• Asymptotic linearity of regularity and a*-invariant of powers of idealsHuy Tài Hà — 2009
• Finite filtrations of modules and shellable multicomplexesJürgen Herzog, Dorin Popescu — 2005

Cited by

• Castelnuovo Mumford Regularity with respect to multigraded idealsNicolás Botbol, Marc Chardin — 2011
• Powers of Ideals: Betti Numbers, Cohomology and RegularityMarc Chardin — 2013

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