Mathematics – Algebraic Geometry
Scientific paper
2008-09-19
Mathematics
Algebraic Geometry
40 pages
Scientific paper
The affine ring A of the affine Jacobian variety of a hyperelliptic curve of
genus 3 is studied as a D-module. The conjecture on the minimal D-free
resolution previously proposed is proved in this case. As a by-product a linear
basis of A is explicitly constructed in terms of derivatives of Klein's
hyperelliptic pe functions.
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