On Hirzebruch invariants of elliptic fibrations

Details On Hirzebruch invariants of elliptic fibrations On Hirzebruch invariants of elliptic fibrations

2011-10-31

arxiv.org/abs/1111.0017v2

Mathematics

Algebraic Geometry

Scientific paper

We compute all Hirzebruch invariants $\chi_q$ for $D_5$, $E_6$, $E_7$ and
$E_8$ elliptic fibrations of every dimension. A single generating series
$\chi(t,y)$ is produced for each family of fibrations such that the coefficient
of $t^{k}y^{q}$ encodes $\chi_q$ over a base of dimension $k$, solely in terms
of invariants of the base of the fibration.

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