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math.AG2026
Elimination Without Eliminating: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets
Paul Breiding, John Cobb, Aviva K. Englander +6
Many hypersurfaces in algebraic geometry, such as discriminants, arise as the projection of another variety. The real complement of such a hypersurface partitions its ambient space…
math.AG2026
Inverse Eigenvalue Problems, Floquet Isospectrality and the Hilbert--Chow Morphism
John Cobb, Matthew Faust, Andreas Kretschmer
When can one change the diagonal of a matrix without changing its spectrum? We completely answer this question over an algebraically closed field of characteristic zero or larger t…