The size function for quadratic extensions of complex quadratic fields
Copyright policy )The size function for quadratic extensions of complex quadratic fields
The function h 0 for a number field is an analogue of the dimension of the Riemann–Roch spaces of divisors on an algebraic curve. In this paper, we prove the conjecture of van der Geer and Schoof about the maximality of h 0 at the trivial Arakelov divisor for quadratic extensions of complex quadratic fields.
- Aalto University Finland
Mathematics - Number Theory, \(h^0\), Size function, size function, ta111, effectivity divisor, Quadratic extensions, H, line bundle, Cubic and quartic extensions, FOS: Mathematics, Arakelov divisor, Effectivity divisor, Line bundle, Number Theory (math.NT)
Mathematics - Number Theory, \(h^0\), Size function, size function, ta111, effectivity divisor, Quadratic extensions, H, line bundle, Cubic and quartic extensions, FOS: Mathematics, Arakelov divisor, Effectivity divisor, Line bundle, Number Theory (math.NT)
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