3 problems

Field-of-definition conjecture for superspecial genus-4 hyperelliptic curves
Let $H_a$ be a genus-4 hyperelliptic curve over an algebraic closure of $\mathbb{F}_p$ , with parameter $a$ . Field-of-definition conjecture. If $H_a$ is superspecial, then…
openFrom papersfinite-fields hyperelliptic-curves superspecial-curves
0 responses
11
Radicality conjecture for the Hasse–Witt ideal of genus-4 double covers
Radicality conjecture. The ideal $I_M$ is radical for every prime $p\geq 5$ .
openFrom papersalgebraic-geometry hasse-witt-matrices superspecial-curves
0 responses
9
Conjecture on superspecial hyperelliptic curves of genus 4 with dihedral automorphisms
Superspecial genus-4 dihedral automorphism conjecture. The following statements hold:
openFrom papersautomorphism-groups hyperelliptic-curves superspecial-curves
0 responses
12

Field-of-definition conjecture for superspecial genus-4 hyperelliptic curves