English

On Hirzebruch invariants of elliptic fibrations

Algebraic Geometry 2012-04-26 v2 High Energy Physics - Theory

Abstract

We compute all Hirzebruch invariants χq\chi_q for D5D_5, E6E_6, E7E_7 and E8E_8 elliptic fibrations of every dimension. A single generating series χ(t,y)\chi(t,y) is produced for each family of fibrations such that the coefficient of tkyqt^{k}y^{q} encodes χq\chi_q over a base of dimension kk, solely in terms of invariants of the base of the fibration.

Keywords

Cite

@article{arxiv.1111.0017,
  title  = {On Hirzebruch invariants of elliptic fibrations},
  author = {James Fullwood and Mark van Hoeij},
  journal= {arXiv preprint arXiv:1111.0017},
  year   = {2012}
}