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20062022
most citedToric Codes and Lattice Ideals

6 citations · 12 across the 8 of their papers we have counts for

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math.AG2022

Codes on Subgroups of Weighted Projective Tori

Mesut Şahin, Oğuz Yayla

We obtain certain algebraic invariants relevant to study codes on subgroups of weighted projective tori inside an -dimensional weighted projective space. As application, we comp…

math.AG2018

On parameterised toric codes

Esma Baran, Mesut Şahin

Let be a complete simplicial toric variety over a finite field with a split torus . For any matrix , we are interested in the subgroup of parameterized by t…

math.AG2017★ 6 cited

Toric Codes and Lattice Ideals

Mesut Şahin

Let be a complete simplicial toric variety over a finite field with homogeneous coordinate ring and split torus $T_X\cong (\mathb…

math.AG2011

Gluing and Hilbert functions of monomial curves

Feza Arslan, Pınar Mete, Mesut Şahin

In this article, by using the technique of gluing semigroups, we give infinitely many families of 1-dimensional local rings with non-decreasing Hilbert functions. More significantl…

math.AG2010★ 1 cited

Hilbert basis of the Lipman semigroup

Mesut Sahin

In this work, we give a new method to compute the Hilbert basis of the semigroup of certain positive divisors supported on the exceptional divisor of a normal surface singularity.…

math.AG2006★ 2 cited

Producing Set Theoretic Complete Intersection Monomial Curves in P^n

Mesut Sahin

In this paper we produce infinitely many examples of set-theoretic complete intersection monomial curves in , starting with a set-theoretic complete intersection…