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Module discriminant
Lattice discriminant
Polynomial discriminant
Field extension discriminant
Results
discriminant
- 2022-05-25
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2021-05-10
See rank, signature, discriminants of quadratic forms.
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2021-05-01
Interesting question in arithmetic statistics: for \(G \in {\mathsf{Grp}}\) finite, how many Galois extensions are there \(K/{\mathbf{Q}}\) with \(G = { \mathsf{Gal}} (K/{\mathbf{Q}})\) and \(\Delta \leq N\) (discriminants for some fixed \(N\)?
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trace pairing
See different and discriminants.
- ramification index
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good reduction
In terms of equations: for $E_{/ {{\mathbf{Q}}}} $ an elliptic curve \(y^2=x^3+ax + b\) of discriminants \(\Delta(E) = -16(4a^3+27b^2)\), \(E\) has good reduction at \(p\) for any prime \(p\nmid \Delta(E)\).
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AG_Review_Q
discriminant 48 1 2022-05-19
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2021-10-27
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020 Defiinitions
different and discriminants