The Jacobian, the Abel-jacobi Map, and Abel’s Theorem
نویسنده
چکیده
A natural question to ask is: which divisors of degree 0 do not arise from meromorphic functions? The answer is given in a theorem of Abel, which we will present here. Since each divisor up to linear equivalence also corresponds to an isomorphism class of line bundles of degree 0, we will also be able to use Abel’s theorem to classify degree 0 line bundles on X as points of a complex torus called the Jacobian.
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تاریخ انتشار 2003