Commit 2023-11-04 10:04 3fdde997
View on Github →feat: explicit volume computations in NumberTheory.NumberField.CanonicalEmbedding (#6886)
We compute the values of the volumes used in CanonicalEmbedding
. In particular, we prove that
volume (fundamentalDomain (latticeBasis K)) =
(2 : ℝ≥0∞)⁻¹ ^ (NrComplexPlaces K) * NNReal.sqrt ‖discr K‖₊
This will be useful later on to prove Hermite and Hermite-Minkowski theorems.