2 papers
math.AG2026
Common Real Secants to Pairs of Real Twisted Cubic Curves
Saima Aslam, Matthew Faust, Jonathan D. Hauenstein +5
It is well established that a general pair of twisted cubic curves in complex projective space has ten common secant lines. As an initial investigation, we show that the monodromy…
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…