# isocrystalの例文

- The Newton polygon of an " F "-
*isocrystal* encodes the dimensions of the pieces of given slope. - While the Newton polygon of an " F "-crystal depends only on the corresponding
*isocrystal*, it is possible for two " F "-crystals corresponding to the same " F "-isocrystal to have different Hodge polygons. - While the Newton polygon of an " F "-crystal depends only on the corresponding isocrystal, it is possible for two " F "-crystals corresponding to the same " F "-
*isocrystal* to have different Hodge polygons. - Over a non-algebraically closed field " k " the simple " F "-isocrystals are harder to describe explicitly, but an " F "-
*isocrystal* can still be written as a direct sum of subcrystals that are isoclinic, where an " F "-crystal is called isoclinic if over the algebraic closure of " k " it is a sum of " F "-isocrystals of the same slope.