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http://hdl.handle.net/2445/151842
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DC Field | Value | Language |
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dc.contributor.author | Serrano, Fernando | - |
dc.date.accessioned | 2020-03-03T14:08:21Z | - |
dc.date.available | 2020-03-03T14:08:21Z | - |
dc.date.issued | 1989 | - |
dc.identifier.uri | http://hdl.handle.net/2445/151842 | - |
dc.description | Preprint enviat per a la seva publicació en una revista científica: Pacific Journal of Mathematics, Volume 152, Number 1 (1992), 187-199. | ca |
dc.description.abstract | 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. | ca |
dc.format.extent | x p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.publisher | Universitat de Barcelona | ca |
dc.relation.isformatof | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.10] | - |
dc.relation.ispartofseries | Mathematics Preprint Series; 69 | ca |
dc.rights | (c) Fernando Serrano, 1989 | - |
dc.source | Preprints de Matemàtiques - Mathematics Preprint Series | - |
dc.subject.classification | Superfícies (Matemàtica) | - |
dc.subject.other | Universitat de Barcelona. Institut de Matemàtica | - |
dc.title | Elliptic surfaces with an ample divisor of genus two | ca |
dc.type | info:eu-repo/semantics/article | ca |
dc.type | info:eu-repo/semantics/submittedVersion | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N069.pdf | 855.38 kB | Adobe PDF | View/Open |
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