2 problems

Generalized SHGH conjecture. Any curve $C$ in this linear system which has a point of multiplicity $t$ is non-reduced. This conjecture asserts that unexpectedly singular curves in…

Standard-form negativity conjecture. If $s\geq1$ and $D^{2}<0$, then $D$ is not effective. This is presented as a consequence expected from the SHGH conjecture and concerns the eff…