3 problems

Additive-action multiplicity conjecture. There are at least two non-equivalent induced additive actions on $X$.

Let $X$ be a smooth Fano variety of Picard number one that is an equivariant compactification of a vector group. Euler-symmetric embedding conjecture. There is a suitable projectiv…

Let $X\subseteq\mathbb{P}^{n+1}$ be a degenerate hypersurface admitting an induced additive action, where an induced additive action is an additive action obtained from the ambient…