Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/44296
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dc.contributor.authorNeves, Jorge-
dc.contributor.authorPignatelli, Pignatelli-
dc.date.accessioned2017-11-06T20:59:47Z-
dc.date.available2017-11-06T20:59:47Z-
dc.date.issued2014-
dc.identifier.issn0391173X-
dc.identifier.urihttp://hdl.handle.net/10316/44296-
dc.description.abstractWe construct a 4-dimensional family of surfaces of general type with p_g=0 and K^2=3 and fundamental group Z/2xQ_8, where Q_8 is the quaternion group. The family constructed contains the Burniat surfaces with K^2=3. Additionally, we construct the universal coverings of the surfaces in our family as complete intersections on (\PP^1)^4 and we also give an action of Z/2xQ_8 on (\PP^1)^4 lifting the natural action on the surfaces. The strategy is the following. We consider an \'etale (Z/2)^3-cover T of a surface with p_g=0 and K^2=3 and assume that it may be embedded in a Fano 3-fold V. We construct V by using the theory of parallel unprojection. Since V is an Enriques--Fano 3-fold, considering its Fano cover yields the simple description of the universal covers above.por
dc.language.isoengpor
dc.relationinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/99275/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876-PPCDTI/111332/PTpor
dc.rightsembargoedAccesspor
dc.titleUnprojection and deformations of tertiary Burniat surfacespor
dc.typearticlepor
dc.relation.publisherversionhttp://annaliscienze.sns.it/index.php?page=Article&id=302por
dc.peerreviewedyespor
item.fulltextCom Texto completo-
item.grantfulltextopen-
item.languageiso639-1en-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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