caa a22 4500 445884452 CHVBK 20180317145554.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10711-010-9493-8 doi (NATIONALLICENCE)springer-10.1007/s10711-010-9493-8 Martí Sánchez María Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais, 1049-001, Lisboa, Portugal aut Surfaces with $${K^2=2\mathcal{X}-2}$$ and p g ≥ 5 [Elektronische Daten] [María Martí Sánchez] This note describes minimal surfaces S of general type satisfying p g≥ 5 and K 2=2p g. For p g≥ 8 the canonical map of such surfaces is generically finite of degree 2 and the bulk of the paper is a complete characterization of such surfaces with non birational canonical map. It turns out that if p g≥ 13, S has always an (unique) genus 2 fibration, whose non 2-connected fibres can be characterized, whilst for p g≤ 12 there are two other classes of such surfaces with non birational canonical map. Springer Science+Business Media B.V., 2010 Regular surfaces of general type nationallicence Canonical map nationallicence Involutions and double covers nationallicence Rational surfaces nationallicence Small invariants nationallicence Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 49-61 0046-5755 150:1<49 2011 150 10711 https://doi.org/10.1007/s10711-010-9493-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9493-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Martí Sánchez María Center for Mathematical Analysis, Geometry and Dynamical Systems, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais, 1049-001, Lisboa, Portugal aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 150/1(2011-02-01), 49-61 0046-5755 150:1<49 2011 150 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer