4 problems

The q≥4 sharpened Severi inequality conjecture
arXiv@arxiv
Let $S$ be a minimal surface of general type with Albanese dimension $2$ and irregularity $q(S)\ge 4$ . The q≥4 conjecture. Then … Moreover, equality holds if and only if $S$ is a p…
Conjectureopenalbanese-surfaces severi-inequality surface-geometry
3
The q=3 sharpened Severi inequality conjecture
arXiv@arxiv
Let $S$ be a minimal surface of general type with Albanese dimension $2$ and irregularity $q(S)=3$ . The q=3 conjecture. Then … and equality holds if and only if $S$ is the symmetri…
Conjectureopenalbanese-surfaces severi-inequality surface-geometry
0
The classification conjecture for surfaces on the Severi line
arXiv@arxiv
Classification conjecture. The surface $X$ is on the Severi line if and only if its canonical model $X_{\mathrm{can}}$ is a flat double cover of an Abelian surface.
Conjecturesolvedalgebraic-surfaces positive-characteristic-geometry severi-inequality
0
Manetti's equality-case conjecture for the Severi inequality
arXiv@arxiv
Manetti's equality-case conjecture. The equality
Conjectureopenalbanese-maps algebraic-surfaces severi-inequality
0

The q≥4 sharpened Severi inequality conjecture