Computing Degrees

This page contains degree computations for \(\sigma_2(\mathcal{M}_{5,3})\), \(\sigma_2(\mathcal{M}_{4,4})\), \(\sigma_2(\mathcal{M}_{6,(1\;1\;1)})\), \(\sigma_3(\mathcal{M}_{6,(1\;1\;1)})\).

The secant variety \(\sigma_2(\mathcal{M}_{5,3})\) has degree 3225, computed numerically in \(\verb|Julia|\): code.

The secant variety \(\sigma_2(\mathcal{M}_{4,4})\) has degree 8650, computed numerically in \(\verb|Julia|\): code.

The secant variety \(\sigma_3(\mathcal{M}_{2,(1\;1\;1)})\) has degree 465, computed numerically in \(\verb|Julia|\): code and symbolically in \(\verb|Macaulay2|\): code.

The secant variety \(\sigma_3(\mathcal{M}_{3,(1\;1\;1)})\) has degree 80, computed numerically in \(\verb|Julia|\): code.