Monomial curve families supporting Rossi's conjecture

Date

2013-08-01

Author

Arslan, Feza
Sipahi, Neslihan
Sahin, Nil

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In this article, we give a constructive method to form infinitely many families of monomial curves in affine 4-space with corresponding Gorenstein local rings in embedding dimension 4 supporting Rossi's conjecture. Starting with any monomial curve in affine 2-space, we obtain large families of Gorenstein local rings with embedding dimension 4, having non-decreasing Hilbert functions, although their associated graded rings are not Cohen-Macaulay.

Subject Keywords

Algebra and Number Theory, Computational Mathematics

URI

https://hdl.handle.net/11511/67134

Journal

JOURNAL OF SYMBOLIC COMPUTATION

DOI

https://doi.org/10.1016/j.jsc.2013.03.002

Collections

Department of Mathematics, Article

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Citation Formats

F. Arslan, N. Sipahi, and N. Sahin, “Monomial curve families supporting Rossi’s conjecture,” JOURNAL OF SYMBOLIC COMPUTATION, pp. 10–18, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67134.