21 Übersetzungen
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Anwendungsbeispiele Englisch
weitere Beispiele ...
- These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field.
- Concretely it may be defined as subsheaf of the sheaf of rational functions Since projective space P"n" over "k" minus a hyperplane "H" is isomorphic to A"n", it follows that the divisor class group of P"n" is generated by the class of "H".
- In fact, it is a surface with a well-understood divisor class group and simplest cases share with Del Pezzo surfaces the property of being a rational surface.
- The divisor class group of a Krull rings are also used to setup powerful "descent methods", and in particular the Galoisian descent.
- For that case, the canonical class is trivial (zero in the divisor class group) and so the theta characteristics of an elliptic curve "E" over the complex numbers are seen to be in 1-1 correspondence with the four points "P" on "E" with 2"P" = 0; this is counting of the solutions is clear from the group structure, a product of two circle groups, when "E" is treated as a complex torus.
- ... Over a general field, the intersection form can be defined using the intersection theory of curves on a surface, by identifying the Picard group with the divisor class group.) The Picard lattice of a K3 surface is always "even", meaning that the integer [...] is even for each [...].
© dict.cc English-German dictionary 2024
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