Under p-1 = 2(ℓ + m), a canonical isomorphism exists between moduli spaces of dormant so_{2ℓ+1}-opers and dormant sp_{2m}-opers with prescribed symmetric radii.
Wakabayashi, Arithmetic liftings and 2d TQFT for dormant opers of higher level, arXiv: math
3 Pith papers cite this work. Polarity classification is still indexing.
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The generic degree of the generalized Verschiebung map is a polynomial in the characteristic p, with the explicit polynomial derived.
Derives explicit genus formulas for dormant modular curves from dormant PGL2-opers and analyzes asymptotic behavior of their function field towers.
citing papers explorer
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Duality for dormant opers of classical types B and C
Under p-1 = 2(ℓ + m), a canonical isomorphism exists between moduli spaces of dormant so_{2ℓ+1}-opers and dormant sp_{2m}-opers with prescribed symmetric radii.
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Polynomiality of the Generalized Verschiebung Degree
The generic degree of the generalized Verschiebung map is a polynomial in the characteristic p, with the explicit polynomial derived.
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Genus formulas for dormant modular curves and asymptotic behavior of their function fields
Derives explicit genus formulas for dormant modular curves from dormant PGL2-opers and analyzes asymptotic behavior of their function field towers.