Geodesic
On invariants of polynomial functions, II
Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 71-83.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $P$ be a finite partially ordered set. In our previous paper, we defined the sectional geometric genus $g_{i}(P)$ of $P$ and studied $g_{i}(P)$. In this paper, by using this sectional geometric genus of $P$, we will give a criterion about the case in which $P$ has no order.
Keywords: partially ordered set, polynomial function, sectional geometric genus.
Mots-clés : order polynomial 
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Y. Fukuma. On invariants of polynomial functions, II. Algebra and discrete mathematics, Tome 31 (2021) no. 1, pp. 71-83. http://geodesic.mathdoc.fr/item/ADM_2021_31_1_a4/

[1] Y. Fukuma, “On invariants of polynomial functions”, Japan. J. Math., 31 (2005), 345–378 | DOI | MR

[2] Y. Fukuma, “Topics on invariants of polarized varieties”, Sugaku Expositions, 25 (2012), 19–45 | MR

[3] Y. Kaki, Master's thesis, Kochi University, 2007 (in Japanese)

[4] A. Ooishi, “Genera and arithmetic genera of commutative rings”, Hiroshima Math. J., 17 (1987), 47–66 | MR | Zbl

[5] A. Ooishi, “$\Delta$-genera and sectional genera of commutative rings”, Hiroshima Math. J., 17 (1987), 361–372 | MR | Zbl

[6] R. P. Stanley, Enumerative combinatorics, v. 1, Cambridge Studies in Advanced Mathematics, 49, 2nd. edition, Cambridge University Press, Cambridge, 2012 | MR | Zbl