Frobenius methods in combinatorics
Frobenius methods in combinatorics
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DOI：
10.1007/s40863-022-00332-w
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发表时间：
2022-03
期刊：
影响因子：
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通讯作者：
Alessandro De Stefani;Jonathan Montaño;Luis N'unez-Betancourt
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作者：
Alessandro De Stefani;Jonathan Montaño;Luis N'unez-Betancourt
我们研究了素特征和组合交换代数方法相互作用所产生的结果。我们展示了边缘理想的结果，环面品种，斯坦利-雷斯纳环，并通过Frobenius证明了最初的理想。我们还讨论了用类frobenius映射得到的单项式理想的结果。最后，我们展示了受Stanley-Reisner环的工作启发的纯环的结果。
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties, Stanley-Reisner rings, and initial ideals that were proven via Frobenius. We also discuss results for monomial ideals obtained using Frobenius-like maps. Finally, we present results forF-pure rings that were inspired by work done for Stanley-Reisner rings.