Properties
- A has good reduction at P if and only if (which implies ).
- A has semistable reduction if and only if (then again ).
- If A acquires semistable reduction over a Galois extension of F of degree prime to p, the residue characteristic at P, then δP = 0.
- If p > 2d + 1, where d is the dimension of A, then δP = 0.
Read more about this topic: Conductor Of An Abelian Variety
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
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—John Locke (1632–1704)