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Castelnuovo-Mumford regularity; powers of ideal; defect sequence

References:

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[2] Borna, K.: **On linear resolution of powers of an ideal**. Osaka J. Math. 46 (2009), 1047-1058. MR 2604920 | Zbl 1183.13016

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[4] Chardin, M.: **Some results and questions on Castelnuovo-Mumford regularity**. Syzygies and Hilbert Functions Lecture Notes in Pure and Applied Mathematics 254, Chapman & Hall/CRC, Boca Raton I. Peeva 1-40 (2007). MR 2309925 | Zbl 1127.13014

[5] Conca, A.: **Regularity jumps for powers of ideals**. Commutative Algebra: Geometric, Homological, Combinatorial and Computational Aspects Lecture Notes in Pure and Applied Mathematics 244, Chapman & Hall/CRC, Boca Raton A. Corso et al. (2006), 21-32. MR 2184787 | Zbl 1080.13015

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[7] Hà, H. T., Trung, N. V., Trung, T. N.: **Depth and regularity of powers of sums of ideals**. Math. Z. 282 (2016), 819-838. DOI 10.1007/s00209-015-1566-9 | MR 3473645 | Zbl 1345.13006

[8] Kodiyalam, V.: **Asymptotic behaviour of Castelnuovo-Mumford regularity**. Proc. Am. Math. Soc. 128 (2000), 407-411. DOI 10.1090/S0002-9939-99-05020-0 | MR 1621961 | Zbl 0929.13004