I would like to know what are the open big and interesting problems related to moduli spaces and moduli stacks ?
Thanks in advance for your help.
I would like to know what are the open big and interesting problems related to moduli spaces and moduli stacks ?
Thanks in advance for your help.
The Debarre-de Jong conjecture: if $\mathrm{X}\subset\mathbf{P}^n$ is a smooth hypersurface of degree $d\leqslant n$, then the dimension of the moduli space of lines on $\mathrm{X}$ is the expected one, namely $2n-d-3$.
It is known to be true for at least $d\leqslant 6$.