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math.AG2019★ 2 cited
Computing invariants of cubic surfaces
Andreas-Stephan Elsenhans, Jörg Jahnel
We report on the computation of invariants, covariants, and contravariants of cubic surfaces. All algorithms are implemented in the computer algebra system magma.
math.NT2019
Computing quadratic subfields of number fields
Andreas-Stephan Elsenhans, Jürgen Klüners
Given a number field, it is an important question in algorithmic number theory to determine all its subfields. If the search is restricted to abelian subfields, one can try to dete…