# On Thom Polynomials for A4(−) via Schur Functions

Serdica Mathematical Journal (2007)

- Volume: 33, Issue: 2-3, page 301-320
- ISSN: 1310-6600

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topÖztürk, 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 -

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