The Ideal Class & Minkowski's Theorem Flashcards
(10 cards)
1
Q
equivalent ideals
A
there exist α,β in O_K such that (α)I=(β)J
2
Q
ideal classes
A
equivalence classes of ideals in O_K
3
Q
class number
A
number of ideal classes
4
Q
ideal class group
A
group of ideal classes
5
Q
lattice
A
abelian subgroup m_1v_1+m_2v_2 where m_i integers and v_i linearly independent (basis of R^2)
6
Q
generators of lattice
A
v_1 and v_2
7
Q
fundamental domain of lattice
A
a_1 a_2 in [0,1)
8
Q
covolume of lattice
A
volume of fundamental domain/ det of P=(v_1 v_2)
9
Q
convex
A
λp + (1-λ)q in X
10
Q
centrally symmetric
A
-p in X
