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

Complete intersection, Free resolution, Gluing, Monomial curve, Tangent cone

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

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

AMA

1.İnce Ö. Explicit Free Resolutions of Tangent Cones in Affine 4-Space. CSJ. 2026;47(1):151-155. doi:10.17776/csj.1859728

Chicago

İnce, Özgür. 2026. “Explicit Free Resolutions of Tangent Cones in Affine 4-Space”. Cumhuriyet Science Journal 47 (1): 151-55. https://doi.org/10.17776/csj.1859728.

EndNote

İnce Ö (February 1, 2026) Explicit Free Resolutions of Tangent Cones in Affine 4-Space. Cumhuriyet Science Journal 47 1 151–155.

IEEE

[1]Ö. İnce, “Explicit Free Resolutions of Tangent Cones in Affine 4-Space”, CSJ, vol. 47, no. 1, pp. 151–155, Feb. 2026, doi: 10.17776/csj.1859728.

ISNAD

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

JAMA

1.İnce Ö. Explicit Free Resolutions of Tangent Cones in Affine 4-Space. CSJ. 2026;47:151–155.

MLA

İnce, Özgür. “Explicit Free Resolutions of Tangent Cones in Affine 4-Space”. Cumhuriyet Science Journal, vol. 47, no. 1, Feb. 2026, pp. 151-5, doi:10.17776/csj.1859728.

Vancouver

1.Özgür İnce. Explicit Free Resolutions of Tangent Cones in Affine 4-Space. CSJ. 2026 Feb. 1;47(1):151-5. doi:10.17776/csj.1859728

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Explicit Free Resolutions of Tangent Cones in Affine 4-Space

Abstract

Keywords

Thanks

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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