Monomial curve families supporting Rossi's conjecture

Date

2013-08-01

Author

Arslan, Feza
Sipahi, Neslihan
Sahin, Nil

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

120
views

0
downloads

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

Suggestions

OpenMETU
Core

Galois structure of modular forms of even weight Gurel, E. (Elsevier BV, 2009-10-01) We calculate the equivariant Euler characteristics of powers of the canonical sheaf on certain modular curves over Z which have a tame action of a finite abelian group. As a consequence, we obtain information on the Galois module structure of modular forms of even weight having Fourier coefficients in certain ideals of rings of cyclotomic algebraic integers. (c) 2009 Elsevier Inc. All rights reserved.
On maximal curves and linearized permutation polynomials over finite fields Özbudak, Ferruh (Elsevier BV, 2001-08-08) The purpose of this paper is to construct maximal curves over large finite fields using linearized permutation polynomials. We also study linearized permutation polynomials under finite field extensions.
ON FINITE GALOIS STABLE ARITHMETIC GROUPS AND THEIR APPLICATIONS Khrebtova, Ekaterina S.; Malinin, Dmitry (World Scientific Pub Co Pte Lt, 2008-12-01) We prove the existence and finiteness theorems for integral representations stable under Galois operation. An explicit construction of the realization fields for representations of finite groups stable under the natural operation of the Galois group is given. We also compare the representations over fields and the rings of integers, and give a quantitative result on the rarity of integral Galois stable representations. There is a series of related conjectures and applications to arithmetic algebraic geometr...
Normalizers of finite subgroups in homogenous symmetric groups and automorphisms Guven, Ulviye Bursra; Kuzucuoğlu, Mahmut (Informa UK Limited, 2019-05-21) The structure of the centralizers of finite subgroups in homogenous symmetric groups S(chi(xi)) are given up to isomorphism by Guven-Kegel-Kuzucuoglu in 2015 and Kuzucuoglu-Oliynyk-Sushchansky in 2018. In this article, we answer the natural question; what is the structure of the normalizers of finite semiregular subgroups in homogenous symmetric groups? We prove, N-S(chi(xi))(F) congruent to C-S(chi(xi) (F) x Aut(F) congruent to Sigma(chi(xi 1))(F) x Aut(F) for some sequence xi(1): We answer negatively, the...
The classical involution theorem for groups of finite Morley rank Berkman, A (Elsevier BV, 2001-09-15) This paper gives a partial answer to the Cherlin-Zil'ber Conjecture, which states that every infinite simple group of finite Morley rank is isomorphic to an algebraic group over an algebraically closed field. The classification of the generic case of tame groups of odd type follows from the main result of this work, which is an analogue of Aschbacher's Classical Involution Theorem for finite simple groups. (C) 2001 Academic Press.

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.