Quadratic Gr\'obner bases of block diagonal matching field ideals and toric degenerations of Grassmannians
| Autor: | Akihiro Higashitani, Hidefumi Ohsugi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Quadratic growth
Pure mathematics Algebra and Number Theory Matching (graph theory) Mathematics::Commutative Algebra Primary: 13F65 Secondary 13P10 14M15 010102 general mathematics Diagonal Block matrix Field (mathematics) Commutative Algebra (math.AC) Mathematics - Commutative Algebra 01 natural sciences Quadratic equation Mathematics::Algebraic Geometry 0103 physical sciences FOS: Mathematics Mathematics - Combinatorics Combinatorics (math.CO) 010307 mathematical physics 0101 mathematics Mathematics |
| Popis: | In the present paper, we prove that the toric ideals of certain $s$-block diagonal matching fields have quadratic Gr\"obner bases. Thus, in particular, those are quadratically generated. By using this result, we provide a new family of toric degenerations of Grassmannians. Comment: 15 pages; J. Pure Appl. Algebra, to appear |
| Databáze: | OpenAIRE |
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