# name
Elliptic surfaces with an ample divisor of genus two

# metadata.dc.description[].value
Preprint enviat per a la seva publicació en una revista científica: Pacific Journal of Mathematics, Volume 152, Number 1 (1992), 187-199.

# metadata.dc.description.abstract[].value
Beltrametti, Lanteri and Palleschi have recently started the classification of smooth algebraic
surfaces having an ample divisor of arithmetic genus two (Arkiv für Mat. 25 (1987), 189-210).
Their results for the class of elliptic surf aces can be considerably improved. The present paper
focuses on elliptic surfaces S with Kodaira dimension one, xOs = O, and such that the
(unique) elliptic fibration has a rational base. The result is the following : if S contains a
genus two ample divisor then S is of the form S = (D x E)/G where G is a group
acting on two curves D and E, E is elliptic, G is either Z2 x Z2 , Z2 x Z6 or Z4 x Z4
and D has genus 2,2 and 3 respectively. Moreover, the existence of such polarized surfaces
is shown by a concrete example.

# metadata.dc.relation.isformatof[].value
Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.10]

# metadata.dc.source[].value
Preprints de Matemàtiques - Mathematics Preprint Series

# metadata.dc.subject.other[].value
Universitat de Barcelona. Institut de Matemàtica

# metadata.dc.title[].value
Elliptic surfaces with an ample divisor of genus two