On Thom Polynomials for A4(−) via Schur Functions
Serdica Mathematical Journal, Tome 33 (2007) no. 2-3, pp. 301-320
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
We study the structure of the Thom polynomials for A4(−)
singularities. We analyze the Schur function expansions of these polynomials.
We show that partitions indexing the Schur function expansions of Thom
polynomials for A4(−) singularities have at most four parts. We simplify the
system of equations that determines these polynomials and give a recursive
description of Thom polynomials for A4(−) singularities. We also give Thom
polynomials for A4(3) and A4(4) singularities.
Keywords:
Thom Polynomials, Singularities, Global Singularity Theory, Classes of Degeneracy, Loci, Schur Functions, Resultants
@article{SMJ2_2007_33_2-3_a4,
author = {\"Ozt\"urk, \"Ozer},
title = {On {Thom} {Polynomials} for {A4(\ensuremath{-})} via {Schur} {Functions}},
journal = {Serdica Mathematical Journal},
pages = {301--320},
publisher = {mathdoc},
volume = {33},
number = {2-3},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2007_33_2-3_a4/}
}
Öztürk, Özer. On Thom Polynomials for A4(−) via Schur Functions. Serdica Mathematical Journal, Tome 33 (2007) no. 2-3, pp. 301-320. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_2-3_a4/