Abel–Prym Maps for Isotypical Components of Jacobians
نویسندگان
چکیده
منابع مشابه
On maps between modular Jacobians and Jacobians of Shimura curves
Fix a squarefree integer N , divisible by an even number of primes, and let Γ be a congruence subgroup of level M , where M is prime to N . For each D dividing N and divisible by an even number of primes, the Shimura curve X(Γ0(N/D)∩Γ ) associated to the indefinite quaternion algebra of discriminant D and Γ0(N/D) ∩ Γ -level structure is well defined, and we can consider its Jacobian J(Γ0(N/D) ∩...
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Exponential Formulas for the Jacobians and Jacobian Matrices of Analytic Maps
Let F = (F1, F2, · · ·Fn) be an n-tuple of formal power series in n variables of the form F (z) = z + O(|z|). It is known that, there exists a unique formal differential operator A(z) = ∑n i=1 ai(z) ∂ ∂zi such that F (z) = exp(A)z as formal series. In this article, we show the Jacobian J(F ) and the Jacobian matrix J(F ) of F can also be given by some exponential formulas. Namely, J(F ) = exp(A...
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ژورنال
عنوان ژورنال: Bulletin of the Brazilian Mathematical Society, New Series
سال: 2020
ISSN: 1678-7544,1678-7714
DOI: 10.1007/s00574-020-00226-5