Some properties of second order theta functions on Prym varieties
نویسنده
چکیده
Let P ∪P ′ be the two component Prym variety associated to an étale double cover C̃ → C of a non-hyperelliptic curve of genus g ≥ 6 and let |2Ξ0| and |2Ξ ′ 0| be the linear systems of second order theta divisors on P and P ′ respectively. The component P ′ contains canonically the Prym curve C̃. We show that the base locus of the subseries of divisors containing C̃ ⊂ P ′ is exactly the curve C̃. We also prove canonical isomorphisms between some subseries of |2Ξ0| and |2Ξ0| and some subseries of second order theta divisors on the Jacobian of C.
منابع مشابه
1 8 M ay 1 99 9 Some properties of second order theta functions on Prym varieties
Let P ∪P ′ be the two component Prym variety associated to anétale double cover˜C → C of a non-hyperelliptic curve of genus g ≥ 6 and let |2Ξ 0 | and |2Ξ ′ 0 | be the linear systems of second order theta divisors on P and P ′ respectively. The component P ′ contains canonically the Prym curve˜C. We show that the base locus of the subseries of divisors containing˜C ⊂ P ′ is exactly the curve˜C. ...
متن کاملS ep 1 99 9 Some properties of second order theta functions on Prym varieties
Let P ∪P ′ be the two component Prym variety associated to anétale double cover˜C → C of a non-hyperelliptic curve of genus g ≥ 6 and let |2Ξ 0 | and |2Ξ ′ 0 | be the linear systems of second order theta divisors on P and P ′ respectively. The component P ′ contains canonically the Prym curve˜C. We show that the base locus of the subseries of divisors containing˜C ⊂ P ′ is exactly the curve˜C. ...
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