Algebraic properties of binomial edge ideals of Levi graphs associated with curve arrangements

Autor:	Karmakar, Rupam, Sarkar, Rajib, Subramaniam, Aditya
Rok vydání:	2023
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry Mathematics - Combinatorics 05E40 13C14 13C15 14N10 14N20
Zdroj:	J. Pure Appl. Algebra, 228(9), 107665, 2024
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jpaa.2024.107665
Popis:	In this article, we study algebraic properties of binomial edge ideals of Levi graphs associated with certain plane curve arrangements. Using combinatorial properties of Levi graphs, we discuss the Cohen-Macaulayness of binomial edge ideals of Levi graphs associated to some curve arrangements in the complex projective plane, like the $d$-arrangement of curves and the conic-line arrangements. We also discuss the existence of certain induced cycles in the Levi graphs of these arrangements and obtain lower bounds for the regularity of powers of the corresponding binomial edge ideals. Comment: Proofs of Theorems 5.1 and 5.5 have been modified, examples 5.6 and 5.7 were added following the suggestion of referee. 19 pages, comments and suggestions are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.08191 Zobrazit plný text záznamu View this record from Arxiv