20–22 Sept 2023
Argiletum
Europe/Rome timezone

The non-degeneracy invariant of Enriques surfaces: a computational approach

21 Sept 2023, 10:00
1h
Argiletum

Argiletum

via della Madonna dei Monti 40, Roma

Speaker

Luca Schaffler (Roma Tre University)

Description

For an Enriques surface S, the non-degeneracy invariant nd(S) retains information about the elliptic fibrations of S and its projective realizations. While this invariant is well understood for general Enriques surfaces, it becomes challenging to compute when specializing our Enriques surface. In this talk, we introduce a combinatorial version of the non-degeneracy invariant that depends on S along with a configuration of smooth rational curves, and gives a lower bound for nd(S). We also provide a SageMath code that computes this combinatorial invariant and we apply it in several examples where nd(S) was previously unknown. This is joint work with Riccardo Moschetti and Franco Rota.

Primary author

Luca Schaffler (Roma Tre University)

Co-authors

Riccardo Moschetti (University of Turin) Franco Rota (University of Glasgow)

Presentation materials

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