Notes on canonical surfaces (Q1177405)

This article presents, mostly without proofs, a series of results on complex minimal surfaces of general type and related problems, including canonical surfaces with \(c^ 2_ 1=3p_ g-7\) (which yield examples of generically non-reduced moduli), canonical surfaces with \(c^ 2_ 1=3p_ g-6\) and \(q=0\), surfaces with pencils of genus three curves, sextics and their deformations, regular surfaces with \(W_ 2=0\), and threefolds with trivial canonical bundles and an ample line bundle \(H\) with \(H^ 3=2h^ 0(H)-6\) or \(H^ 3=2h^ 0(H)-5\).