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Equivalent computational problems for superspecial abelian surfaces
Mickaël Montessinos
We show reductions and equivalences between various problems related to the computation of the endomorphism ring of principally polarised superspecial abelian surfaces. Problems co…
math.AG2024
Algebraic algorithms for vector bundles over curves
Mickaël Montessinos
We represent vector bundles over a regular algebraic curve as pairs of lattices over the maximal orders of its function field and we give polynomial time algorithms for several tas…