Ideals with maximal local cohomology modules

Enrico Sbarra

Rendiconti del Seminario Matematico della Università di Padova (2004)

  • Volume: 111, page 265-275
  • ISSN: 0041-8994

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Sbarra, Enrico. "Ideals with maximal local cohomology modules." Rendiconti del Seminario Matematico della Università di Padova 111 (2004): 265-275. <http://eudml.org/doc/108632>.

@article{Sbarra2004,
author = {Sbarra, Enrico},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {265-275},
publisher = {Seminario Matematico of the University of Padua},
title = {Ideals with maximal local cohomology modules},
url = {http://eudml.org/doc/108632},
volume = {111},
year = {2004},
}

TY - JOUR
AU - Sbarra, Enrico
TI - Ideals with maximal local cohomology modules
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2004
PB - Seminario Matematico of the University of Padua
VL - 111
SP - 265
EP - 275
LA - eng
UR - http://eudml.org/doc/108632
ER -

References

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  1. [1] A. BIGATTI, Upper bounds for the Betti numbers of a given Hilbert function, Communications in Algebra, 21 (7) (1993), pp. 2317-2334. Zbl0817.13007MR1218500
  2. [2] M. BRODMANN - R. SHARP, Local Cohomology, Cambridge University Press, Cambridge, 1998. Zbl0903.13006MR1613627
  3. [3] W. BRUNS - J. HERZOG, Cohen-Macaulay rings, Cambridge University Press, Cambridge, 1998. Zbl0909.13005MR1251956
  4. [4] A. CAPANI - G. NIESI - L. ROBBIANO, CoCoA, a system for doing Computations in Commutative Algebra, Available via anonymous ftp from: cocoa.dima.unige.it Zbl0920.68060
  5. [5] A. CONCA - J. HERZOG - T. HIBI, Rigid resolutions and big Betti numbers, Preprint 2003. Zbl1080.13008MR2099124
  6. [6] D. EISENBUD, Commutative Algebra, Springer-Verlag, New York, 1995. Zbl0819.13001MR1322960
  7. [7] J. HERZOG - T. HIBI, COMPONENTWISE LINEAR IDEALS, Nagoya Math. J., 153 (1999), pp. 141-153. Zbl0930.13018MR1684555
  8. [8] H. HULETT, Maximum Betti numbers of homogeneous ideals with a given Hilbert function, Communications in Algebra, 21 (7) (1993), pp. 2335-2350. Zbl0817.13006MR1218501
  9. [9] J. HERZOG - E. SBARRA, Sequentially Cohen-Macaulay modules and local cohomology, to appear in Proceedings of the Conference of the International Colloquium on Algebra, Arithmetic and Geometry, TIFR, Mumbai, January 4-12, 2000. Zbl1072.13504MR1940671
  10. [10] K. PARDUE, Deformation classes of graded modules and maximal Betti numbers, Illinois Journal of Mathematics, 40 (4) (Winter 1996), pp. 564-585. Zbl0903.13004MR1415019
  11. [11] E. SBARRA, Upper Bounds for local cohomology for rings with given Hilbert function, Communications in Algebra, 29 (12) (2001), pp. 5383-5409. Zbl1097.13516MR1872238
  12. [12] E. SBARRA, On the structure of Ext groups of strongly stable ideals, Geometric and combinatorial aspects of commutative algebra, Lect. Notes in Pure and Applied Mathematics, 217, Dekker 2001, pp. 345-352. Zbl0986.13012MR1824241

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