3 problems

Let $X$ be a compact complex manifold of dimension $d$, and let $(\eta_{d-1},\eta_{d-2})$ be a pair of cohomology classes of bidegrees $(d-1,d-1)$ and $(d-2,d-2)$, respectively. A…

Restriction conjecture. The restriction $E|_D$ remains $\ell$-(semi)stable for $a\gg0$.

Let $S$ be a smooth projective surface, let $P^\perp_{\alpha}(n)$ be the Joyce–Song pair invariant for charge $\alpha=(r,c_1(L),c_2)$, and let $\chi(\alpha(n))$ denote the relevant…