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Reduction types of genus-3 curves in a special stratum of their moduli space

Complementary material

In this repository we give extra material to complement the paper

Reduction types of genus-3 curves in a special stratum of their moduli space, I. Bouw, N. Coppola, P. Kiliçer, S. Kunzweiler, E. Lorenzo García and A. Somoza.

Proof of Proposition 3.4 in characteristic 0.

The file InvariantsGenerateDO.txt is an explicit proof that the invariants

associated to a generic plane quartic in the strata given by the equation

generate all the Dixmier-Ohno invariants, since it shows how one can write the latter in terms of the former.

Implementation of the reduction type

Binder

The given SageMath file implements a class with methods related to the results in the paper. See the binder demo for details.

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Computation for Women in Numbers Europe 3 project

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