Automorphisms of numerical Godeaux surfaces with torsion of order 3, 4, or 5

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dc.contributor.areaMathematicsen_US
dc.contributor.authorMaggiolo, Stefano
dc.contributor.departmentMathematical Physicsen_US
dc.date.accessioned2012-01-20T10:00:09Z
dc.date.available2012-01-20T10:00:09Z
dc.date.issued2010-02-18
dc.description21 pages, computer programs and additional information available at http://people.sissa.it/~maggiolo/Godeaux/en_US
dc.description.abstractWe compute the automorphisms groups of all numerical Godeaux surfaces, i.e. minimal smooth surfaces of general type with K^2 = 1 and p_g = 0, with torsion of the Picard group of order \nu equals 3, 4, or 5. We present explicit stratifications of the moduli spaces whose strata correspond to different automorphisms groups. Using the automorphisms computation, for each value of \nu we define a quotient stack, and prove that for \nu = 5 this is indeed the moduli stack of numerical Godeaux surfaces with torsion of order 5. Finally, we describe the inertia stacks of the three quotient stacks.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/5247
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriesarXiv:1002.3494;
dc.subject.keywordGodeaux surfacesen_US
dc.subject.keywordautomorphismsen_US
dc.subject.keywordmoduli spacesen_US
dc.subject.keywordmoduli stacksen_US
dc.subject.keywordinertia stacksen_US
dc.subject.miurMAT/03 GEOMETRIA
dc.titleAutomorphisms of numerical Godeaux surfaces with torsion of order 3, 4, or 5en_US
dc.typePreprinten_US
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