Koszul cycles

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009

Volumn , Issue , 2011, Pages 17-33

  Bruns, Winfried ^a   Conca, Aldo ^b   Römer, Tim ^a  

^a UNIVERSITY OF OSNABRÜCK   (Germany)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

LOWER BOUNDS; POLYNOMIAL RINGS;

ALGEBRA; GEOMETRY; THEOREM PROVING;

COMBINATORIAL MATHEMATICS;

EID: 84869188002     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-19492-4_2     Document Type: Conference Paper

References (13)

1. L.L. Avramov, A. Conca, S.B. Iyengar, Free resolutions over commutative Koszul algebras. Math. Res. Lett. 17, no. 2 (2010), 197-210
2. L.L. Avramov and D. Eisenbud, Regularity of modules over a Koszul algebra. J. Algebra 153 (1992), 85-90.
3. W. Bruns and J. Herzog, Cohen-Macaulay rings. Rev. ed. Cambridge Studies in Advanced Mathematics 39, Cambridge University Press 1998.
4. W. Bruns, A. Conca and T. Römer, Koszul homology and syzygies of Veronese subalgebras. arXiv:0902.2431, to appear in Math. Ann.
5. G. Caviglia, Bounds on the Castelnuovo-Mumford regularity of tensor products. Proc. Amer. Math. Soc. 135 (2007), 1949-1957.
6. A. Conca, J. Herzog, N.V. Trung and G. Valla, Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces. Amer. J. Math. 119 (1997), 859-901.
7. A. Conca, Regularity jumps for powers of ideals. In: Commutative algebra. Lect. Notes Pure Appl. Math., 244, Chapman & Hall/CRC, Boca Raton, FL, 2006, pp. 21-32.
8. D. Eisenbud, C. Huneke, and B. Ulrich, The regularity of Tor and graded Betti numbers. Amer. J. Math. 128 (2006), 573-605.
9. S. Eliahou and M. Kervaire, Minimal resolutions of some monomial ideals. J. Algebra 129 (1990), 1-25.
10. M.L. Green, Koszul cohomology and the geometry of projective varieties. II. J. Differ. Geom. 20 (1984), 279-289.
11. M. Hering, H. Schenck and G.G. Smith, Syzygies, multigraded regularity and toric varieties. Compos. Math. 142 (2006), 1499-1506.
12. G. Ottaviani and R. Paoletti, Syzygies of Veronese embeddings. Compos. Math. 125 (2001), 31-37.
13. B. Sturmfels, Four counterexamples in combinatorial algebraic geometry. J. Algebra 230 (2000), 282-294.