Let , , , , , and be as in the entry regulator, but with taken to be a CM field.
Define the -adic logarithm by
Let be the matrix with general entry given by . The absolute value of the determinant of this matrix is again independent of your choice of basis for the units and of the ordering of the embeddings. This value is called the -adic regulator of , and is denoted by , or .
|Date of creation||2013-03-22 14:14:13|
|Last modified on||2013-03-22 14:14:13|
|Last modified by||mathcam (2727)|