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Bounds for regularity and coregularity of graded modules

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Let M be a finitely generated graded module over a Noetherian homogeneous ring R with local base ring (R 0, m0). If R 0 is of dimension one, then we show that regi+1(M) and coregi+1(M) are bounded for all i ∈ ℕ0. We improve these bounds, if in addition, R 0 is either regular or analytically irreducible of unequal characteristic.

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References

  1. Albertini C and Brodmann M, A bound on certain local cohomology modules and application to ample divisors, Nagoya Math. J. 163 (2001) 87–106

    MATH  MathSciNet  Google Scholar 

  2. Bayer D and Stillman M, A criterion for dedecting m-regularity, Invent. Math. 87 (1987) 1–11

    Article  MATH  MathSciNet  Google Scholar 

  3. Brodmann M, Bound on the cohomological Hilbert function of a projective variety, J. Algebra 109 (1987) 352–380

    Article  MATH  MathSciNet  Google Scholar 

  4. Brodmann M, A priori bounds of Castelnuovo type for cohomological Hilbert function, Comment. Math. Helvetici 65 (1990) 478–518

    Article  MATH  MathSciNet  Google Scholar 

  5. Brodmann M, A priori bounds of Severi type for cohomological Hilbert function, J. Algebra 155 (1993) 298–324

    Article  MATH  MathSciNet  Google Scholar 

  6. Brodmann M, Matteotti C and Minh N D, Bounds for cohomological deficiency functions of projective schemes over Artinian rings, Vietnam J. Math. 31 (2003) 71–113

    MATH  MathSciNet  Google Scholar 

  7. Brodmann M and Sharp R Y, Local cohomology: an algebraic introduction with geometric applications, Cambridge Studies in Advanced Mathematics 60 (Cambridge University Press) (1998)

  8. Matsumura H, Commutative ring theory, Cambridge Studies in Advanced Mathematics 8 (Cambridge University Press) (1986)

  9. Mumford D, Lectures on curves on an algebraic surface, Ann. Math. Studies (Princeton University Press) (1996) vol. 59

  10. Serre J P, Faisceaux algébriques cohérents, Ann. Math. 61 (1955) 197–278

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Urmia University, Urmia, Iran

    Reza Sazeedeh

  2. Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran

    Reza Sazeedeh

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  1. Reza Sazeedeh
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Correspondence to Reza Sazeedeh.

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Sazeedeh, R. Bounds for regularity and coregularity of graded modules. Proc Math Sci 117, 429–441 (2007). https://doi.org/10.1007/s12044-007-0036-7

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  • DOI: https://doi.org/10.1007/s12044-007-0036-7

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