中文

Thom 多项式与 Schur 函数:奇点 $I_{2,2}(-)$

代数几何 2007-05-23 v1

摘要

我们给出了与映射 (C,0)(C+k,0)({\bf C}^{\bullet},0) \to ({\bf C}^{\bullet+k},0)(参数 k0k\ge 0)相关的奇点 I2,2I_{2,2} 的 Thom 多项式。我们的计算结合了 Rimanyi 等人提出的通过“限制方程法”对 Thom 多项式的刻画与 Schur 函数的技术。

关键词

引用

@article{arxiv.0705.1375,
  title  = {Thom polynomials and Schur functions: the singularities I_{2,2}(-)},
  author = {Piotr Pragacz},
  journal= {arXiv preprint arXiv:0705.1375},
  year   = {2007}
}

评论

21 pages; Ann. Inst. Fourier vol.57; this is expanded Sect.4 of math.AG/0509234; new added results: Theorem 11 (based on P-ideals of singularities) and explicit expressions for the coefficients of the Thom polynomials of I_22(-) (Propositions 17, 18, 19); references updated

R2 v1 2026-06-29T00:26:07.454Z