Godeaux surfaces with an Enriques involution and some stable degenerations

Autor:	Lopes, Margarida Mendes, Pardini, Rita
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Geometry 14J29 14J28 14J10
Druh dokumentu:	Working Paper
Popis:	We give an explicit description of the Godeaux surfaces that admit an involution such that the quotient surface is birational to an Enriques surface; these surfaces give a 6-dimensional unirational irreducible subset of the moduli space of surfaces of general type. In addition, we describe the Enriques surfaces that are birational to the quotient of a Godeaux surface by an involution and we show that they give a 5-dimensional unirational irreducible subset of the moduli space of Enriques surfaces. Finally, by degenerating our description we obtain some examples of non-normal stable Godeaux surfaces. Comment: To appear in the proceedings of the conference "Homage to Corrado Segre."
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1502.04621 Zobrazit plný text záznamu View this record from Arxiv