Some (big) Irreducible Components of the Moduli Space of Minimal Surfaces of General Type with P G = Q = 1 and K 2 = 4

@inproceedings{Pignatelli2009SomeI,
title={Some (big) Irreducible Components of the Moduli Space of Minimal Surfaces of General Type with P G = Q = 1 and K 2 = 4},
author={R. Pignatelli},
year={2009}
}

Minimal surfaces of general type with pg = q (i.e with χ(O) = 1, the minimal possible value) have attracted the interest of many authors, but we are very far from a complete classification of them. Gieseker theorem ensures that there are only a finite number of families, but recent results show that the number of this families is huge, at least for the case pg = q = 0 (cf. [PK] for many examples with K 2 = 9). The irregular case is possibly more affordable. There is a complete classification of… CONTINUE READING