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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
In particular, they give rise to squarefree initial ideals as well.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we study a class of toric ideals obtained by using some geometric data of ADE trees which are the minimal resolution graphs of rational surface singularities.
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Temel Bulgular & Veri:We compute explicit Gröbner bases for these toric ideals that are also minimal generating sets consisting of large number of binomials of degree ≤ 4.
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Sonuç & Katkı:In particular, they give rise to squarefree initial ideals as well.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:toric ideals · simple surface singularities · semigroup of Lipman
Abstract
In this paper, we study a class of toric ideals obtained by using some geometric data of ADE trees which are the minimal resolution graphs of rational surface singularities. We compute explicit Gröbner bases for these toric ideals that are also minimal generating sets consisting of large number of binomials of degree ≤ 4. In particular, they give rise to squarefree initial ideals as well.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
ŞAHİN, M., METE, P., KAYA, G. (2022). Toric ideals of simple surface singularities. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 5, 1057–1069. https://ajindex.com/articles/530310