On Thom Polynomials for A4(−) via Schur Functions

Öztürk, Özer. "On Thom Polynomials for A4(−) via Schur Functions." Serdica Mathematical Journal 33.2-3 (2007): 301-320. <http://eudml.org/doc/281393>.

@article{Öztürk2007,
abstract = {2000 Mathematics Subject Classification: 05E05, 14N10, 57R45.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.Work was done during the author’s stay at the IMPAN, supported by TÜBİTAK.},
author = {Öztürk, Özer},
journal = {Serdica Mathematical Journal},
keywords = {Thom Polynomials; Singularities; Global Singularity Theory; Classes of Degeneracy; Loci; Schur Functions; Resultants; Thom polynomials; singularities; global singularity theory; classes of degeneracy loci; Schur functions; resultants},
language = {eng},
number = {2-3},
pages = {301-320},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Thom Polynomials for A4(−) via Schur Functions},
url = {http://eudml.org/doc/281393},
volume = {33},
year = {2007},
}

TY - JOUR
AU - Öztürk, Özer
TI - On Thom Polynomials for A4(−) via Schur Functions
JO - Serdica Mathematical Journal
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 33
IS - 2-3
SP - 301
EP - 320
AB - 2000 Mathematics Subject Classification: 05E05, 14N10, 57R45.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.Work was done during the author’s stay at the IMPAN, supported by TÜBİTAK.
LA - eng
KW - Thom Polynomials; Singularities; Global Singularity Theory; Classes of Degeneracy; Loci; Schur Functions; Resultants; Thom polynomials; singularities; global singularity theory; classes of degeneracy loci; Schur functions; resultants
UR - http://eudml.org/doc/281393
ER -