Explicit Free Resolutions of Tangent Cones in Affine 4-Space

Özgür İnce

doi:10.17776/csj.1859728

Explicit Free Resolutions of Tangent Cones in Affine 4-Space

Abstract

This paper is devoted to the study of minimal free resolutions of tangent cones associated with complete intersection monomial curves in affine 4-space. By applying the gluing technique for numerical semigroups, we characterize specific families of these curves where the tangent cone retains the complete intersection property. Our analysis focuses particularly on curves defined by 4-generated numerical semigroups, constructed by gluing two semigroups generated by two elements. Furthermore, we present explicit computations of their minimal free resolutions under specific conditions.

Keywords

Thanks

Authors would like to thank Prof. Dr. Sefa Feza Arslan for his contributions.

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Özgür İnce ^*
0000-0002-8575-3735
Türkiye

Publication Date

February 27, 2026

Submission Date

January 9, 2026

Acceptance Date

February 9, 2026

Published in Issue

Year 2026 Volume: 47 Number: 1

DOI

https://doi.org/10.17776/csj.1859728

IZ

https://izlik.org/JA99ME97MN

Cite

RIS / Bibtex

APA

İnce, Ö. (2026). Explicit Free Resolutions of Tangent Cones in Affine 4-Space. Cumhuriyet Science Journal, 47(1), 151-155. https://doi.org/10.17776/csj.1859728