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arXiv · 2203.09902

Frobenius methods in combinatorics

Alessandro De Stefani·Jonathan Montaño·Luis Núñez-Betancourt
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Abstract

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 for $F$-pure rings that were inspired by work done for Stanley-Reisner rings.

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Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt. 2022-03-18. Frobenius methods in combinatorics. https://arxiv.org/abs/2203.09902

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