On moduli spaces of canonical threefolds with small genera and minimal volumes
In this talk, we prove that the canonical model of a 3-fold of general type with geometric genus 2 and with minimal canonical volume 1/3 must be a hypersurface of degree 16 in P(1,1,2,3,8), which gives an explicit description of its canonical ring. This implies that the coarse moduli space M_{1/3,2}, parametrizing all canonical 3-folds with canonical volume 1/3 and geometric genus 2, is an irreduc...
2025-04-06