A note on families of hyperelliptic curves
Sergey Gorchinskiy, Filippo Viviani
TL;DR
This paper provides a stack-theoretic proof for certain results concerning families of hyperelliptic curves, offering a new perspective on their structural properties.
Contribution
It introduces a stack-theoretic approach to prove results about hyperelliptic curve families, enhancing the theoretical framework.
Findings
Stack-theoretic proof of hyperelliptic curve family results
New insights into the structure of hyperelliptic curves
Potential applications to moduli space analysis
Abstract
We give a stack-theoretic proof for some results on families of hyperelliptic curves.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Cryptography and Residue Arithmetic