Connected components of Prym eigenform loci in genus three
نویسندگان
چکیده
منابع مشابه
The Arithmetic of Prym Varieties in Genus
Given a curve of genus 3 with an unramified double cover, we give an explicit description of the associated Prym-variety. We also describe how an unramified double cover of a non-hyperelliptic genus 3 curve can be embedded in the jacobian of a curve of genus 2 over its field of definition and how this can be used to do Chabautyand Brauer-Manin type calculations for curves of genus 5 with an unr...
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Let η be a line bundle on a smooth curve X with η^2=0 such that π_η, the double covering induced by η is an etale morphism. Assume also that X_η be the Prym-canonical model of X associated to K_X.η and Q is a rank 4 quadric containing X_η. After stablishing the projective normality of the prym-canonical models of curves X with Clifford index 2, we obtain in this paper a sufficient condition for...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2017
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-017-1542-2