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Volumn 135, Issue 7, 2007, Pages 1949-1957

Bounds on the Castelnuovo-Mumford regularity of tensor products

Author keywords

Castelnuovo Mumford regularity; Filter regular sequence; Postulation number

Indexed keywords


EID: 42649141226     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-08222-6     Document Type: Article
Times cited : (26)

References (12)
  • 1
    • 0001143918 scopus 로고
    • Modules over unramified regular local rings
    • MR0179211 31:3460
    • M. Auslander, Modules over unramified regular local rings. Illinois J. Math. 5, 1961, 631-647. MR0179211 (31:3460)
    • (1961) Illinois J. Math. , vol.5 , pp. 631-647
    • Auslander, M.1
  • 2
    • 0002128307 scopus 로고
    • What can be computed in algebraic geometry? Computational algebraic geometry and commutative algebra (Cortona, 1991)
    • Cambridge Univ. Press, Cambridge, MR1253986 95d:13032
    • D. Bayer and D. Mumford, What can be computed in algebraic geometry? Computational algebraic geometry and commutative algebra (Cortona, 1991), 1-48, Sympos. Math., XXXIV, Cambridge Univ. Press, Cambridge, 1993. MR1253986 (95d:13032)
    • (1993) Sympos. Math. , vol.34 , pp. 1-48
    • Bayer, D.1    Mumford, D.2
  • 3
    • 0003356411 scopus 로고
    • Cohen-Macaulay rings
    • Cambridge University Press, Cambridge, MR1251956 95h:13020
    • W. Bruns and J. Herzog, Cohen-Macaulay rings. Cambridge Studies in Advanced Mathematics, 39. Cambridge University Press, Cambridge, 1993. xii+403 pp. MR1251956 (95h:13020)
    • (1993) Cambridge Studies in Advanced Mathematics , vol.39
    • Bruns, W.1    Herzog, J.2
  • 4
    • 0002420355 scopus 로고    scopus 로고
    • Regularity of the powers of an ideal
    • MR1481564 98i:13040
    • K. Chandler, Regularity of the powers of an ideal. Comm. Algebra 25 (1997), no. 12, 3773-3776. MR1481564 (98i:13040)
    • (1997) Comm. Algebra , vol.25 , Issue.12 , pp. 3773-3776
    • Chandler, K.1
  • 5
    • 4444234536 scopus 로고    scopus 로고
    • Castelnuovo-Mumford regularity of products of ideals
    • MR1995137 2004k:13020
    • A. Conca and J. Herzog, Castelnuovo-Mumford regularity of products of ideals. Collect. Math. 54 (2003), no. 2, 137-152. MR1995137 (2004k:13020)
    • (2003) Collect. Math. , vol.54 , Issue.2 , pp. 137-152
    • Conca, A.1    Herzog, J.2
  • 6
    • 0001209096 scopus 로고
    • Graded Betti numbers of some embedded rational n-folds
    • MR1314592 96f:13022
    • A. Geramita, A. Gimigliano, and Y. Pitteloud, Graded Betti numbers of some embedded rational n-folds. Math. Ann. 301 (1995), no. 2, 363-380. MR1314592 (96f:13022)
    • (1995) Math. Ann. , vol.301 , Issue.2 , pp. 363-380
    • Geramita, A.1    Gimigliano, A.2    Pitteloud, Y.3
  • 8
    • 0000416662 scopus 로고    scopus 로고
    • Generic initial ideals. Six lectures on commutative algebra
    • Papers from the Summer School on Commutative Algebra held in Bellaterra, July 16-26, MR1648665 99m:13040
    • M. Green, Generic initial ideals. Six lectures on commutative algebra. Papers from the Summer School on Commutative Algebra held in Bellaterra, July 16-26, 1996. Progress in Mathematics, 166, 119-186. MR1648665 (99m:13040)
    • (1996) Progress in Mathematics , vol.166 , pp. 119-186
    • Green, M.1
  • 9
    • 46449090409 scopus 로고    scopus 로고
    • Cartan involutiveness = Mumford regularity. Commutative algebra (Grenoble/Lyon, 2001)
    • Amer. Math. Soc., Providence, RI, MR2013167 2005b:12013
    • B. Malgrange, Cartan involutiveness = Mumford regularity. Commutative algebra (Grenoble/Lyon, 2001), 193-205, Contemp. Math. 331, Amer. Math. Soc., Providence, RI, 2003. MR2013167 (2005b:12013)
    • (2003) Contemp. Math. , vol.331 , pp. 193-205
    • Malgrange, B.1
  • 10
    • 0001472071 scopus 로고
    • Lectures on curves on an algebraic surface
    • Annals of Mathematics Studies, Princeton University Press, Princeton, N. J., MR0209285 35:187
    • D. Mumford, Lectures on curves on an algebraic surface. With a section by G. M. Bergman. Annals of Mathematics Studies, No. 59 Princeton University Press, Princeton, N. J., 1966. xi+200 pp. MR0209285 (35:187)
    • (1966) With a Section by G. M. Bergman , Issue.59
    • Mumford, D.1
  • 11
    • 33745655921 scopus 로고    scopus 로고
    • On the Castelnuovo-Mumford regularity of products of ideal sheaves
    • MR1924756 2003f:13021
    • J. Sidman, On the Castelnuovo-Mumford regularity of products of ideal sheaves. Adv. Geom. 2 (2002), no. 3, 219-229. MR1924756 (2003f:13021)
    • (2002) Adv. Geom. , vol.2 , Issue.3 , pp. 219-229
    • Sidman, J.1
  • 12
    • 0034239638 scopus 로고    scopus 로고
    • Four counterexamples in combinatorial algebraic geometry
    • MR1774768 2001g:13047
    • B. Sturmfels, Four counterexamples in combinatorial algebraic geometry. J. Algebra 230 (2000), no. 1, 282-294. MR1774768 (2001g:13047)
    • (2000) J. Algebra , vol.230 , Issue.1 , pp. 282-294
    • Sturmfels, B.1


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