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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Moreover, we compute the Hilbert function of the tangent cone of these families as a result.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We study the minimal free resolution of the tangent cone of Gorenstein monomial curves in affine 4-space.
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Temel Bulgular & Veri:We give the explicit minimal free resolution of the tangent cone of noncomplete intersection Gorenstein monomial curve whose tangentcone has fiveminimal generators and showthat the possible Betti sequences are (1,5,6,2) and (1,5,5,1).
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Sonuç & Katkı:Moreover, we compute the Hilbert function of the tangent cone of these families as a result.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Gorenstein monomial curves · tangent cones · minimal free resolutions
Abstract
We study the minimal free resolution of the tangent cone of Gorenstein monomial curves in affine 4-space. We give the explicit minimal free resolution of the tangent cone of noncomplete intersection Gorenstein monomial curve whose tangentcone has fiveminimal generators and showthat the possible Betti sequences are (1,5,6,2) and (1,5,5,1). Moreover, we compute the Hilbert function of the tangent cone of these families as a result.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
METE, P., ZENGİN, E. E. (2019). Minimal free resolutions of the tangent cones for Gorenstein monomial curves. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 6, 2782–2793. https://ajindex.com/articles/198153