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Original Articles

Multiplicities of Monomial Space Curves with Non-Noetherian Symbolic Blowups

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Pages 4170-4180 | Received 15 Jan 2014, Published online: 06 Jul 2015

REFERENCES

  • Cutkosky , S. D. ( 1991 ). Symbolic algebras of monomial primes . J. Reine Angew. Math. 416 : 71 – 89 .
  • Cutkosky , S. D. , Ha , T. , Srinivasan , H. , Theodorescu , E. ( 2005 ). Asympotic behaviour of lengths of local cohomology . Canad. J. Math. 57 : 1178 – 1192 .
  • Cutkosky , S. D. ( 2013 ). Multiplicities of graded families of linear series and ideals . Algebra Number Theory 7 ( 9 ): 2059 – 2083 .
  • Goto , S. , Nishida , K. , Shimoda , Y. ( 1991 ). Topics on Symbolic Rees algebras for space monomial curves . Nagoya Math. J. 124 : 99 – 132 .
  • Goto , S. , Nishida , K. , Shimoda , Y. ( 1991 ). The Gorensteinness of symbolic Rees algebras for space curves . J. Math. Soc. Japan 43 : 465 – 481 .
  • Goto , S. , Nishida , K. , Watanabe , K.-i. ( 1994 ). Non-Cohen-Macaulay symbolic blow-ups for space monomial curves and counterexamples to Cowsik's question . Proc. Amer. Math. Soc. 120 : 383 – 392 .
  • Huneke , C. ( 1987 ). Hilbert functions and symbolic powers . Michigan Math. J. 34 : 293 – 318 .
  • Fukumuro , K. , Inagawa , T. , Nishida , K. (2013). On a transform of an acyclic complex of length 3. J. Algebra 384:84–109.
  • Kurano , K. , Matsuoka , N. ( 2009 ). On finite generation of symbolic Rees rings of space monomial curves and existence of negative curves . J. Algebra 322 : 3268 – 3290 .
  • Reed , M. E. ( 2005 ). Generation of symbolic blow-ups of monomial space curves in degree four . Comm. Algebra 33 ( 8 ): 2541 – 2555 .
  • Reed , M. E. ( 2009 ). Generation in degree four of symbolic blowups of self-linked monomial space curves . Comm. Algebra 37 ( 12 ): 4346 – 4365 .
  • Roberts , P. ( 1990 ). An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem . J. Algebra 132 : 461 – 473 .
  • Srinivasan , H. ( 1991 ). On finite generation of symbolic algebras of monomial primes . Comm. Algebra 19 ( 9 ): 2557 – 2564 .
  • Communicated by S. Goto.

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