Nil Sahin, Phd - Research

Publications

Şahin, Nil On the monotonocity of the Hilbert Functions for 4-generated pseudosymmetric monomial curves. (Accepted by Communications in Algebra, 2024)
Şahin, Nil On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves. Turkish J. Math. 447(2023), no. 2, 706-720.
Şahin, Nil Free resolutions for the tangent cones of some homogeneous pseudo symmetric monomial curves. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 72(2023), no:1, 129-136
Şahin, Nil 4-generated pseudo symmetric monomial curves with not Cohen-Macaulay tangent cones. Turkish J. Math. 44 (2020), no. 6, 2174–2184.
Şahin, Mesut; Şahin, Nil Betti numbers for certain Cohen-Macaulay tangent cones. Bull. Aust. Math. Soc. 99 (2019), no. 1, 68–77.
Şahin, Mesut; Şahin, Nil On pseudo symmetric monomial curves. Comm. Algebra 46 (2018), no. 6, 2561–2573.
Arslan, Feza; Şahin, Nil A fast algorithm for constructing Arf closure and a conjecture. J. Algebra 417 (2014), 148–160.
Arslan, Feza; Sipahi, Neslihan; Şahin, Nil Monomial curve families supporting Rossi's conjecture. J. Symbolic Comput. 55 (2013), 10–18.

Library: curvepar.lib

Purpose: Resolution of space curve singularities, semi-group

Authors:

Procedures:

D.6.6.1 BlowingUp BlowingUp of V(I) at the point 0;
D.6.6.2 CurveRes Resolution of V(I)
D.6.6.3 CurveParam Parametrization of algebraic branches of V(I)
D.6.6.4 WSemigroup Weierstrass semigroup of the curve
D.6.6.5 primparam HN matrix of parametrization(x(t),y(t))
D.6.6.6 MultiplicitySequence Multiplicity sequences of the branches of plane curve V(I)
D.6.6.7 CharacteristicExponents Characteristic exponents of the branches of plane curve V(I)
D.6.6.8 IntersectionMatrix Intersection Matrix of the branches of plane curve V(I)
D.6.6.9 ContactMatrix Contact Matrix of the branches of plane curve V(I)
D.6.6.10 plainInvariants Invariants of the branches of plane curve V(I)