Namo Buddhaya!
As i see it,
People in the world generally argue whether there is or isn’t anything after death. Some buddhists are just like this, in that they argue the exact same dichotomy but in reference to the arahant.
As i understand it this constitutes annihilationism & eternalism debates as pertains to misinterpretations of the dhamma.
Another point that people argue about is whether some special samadhi attainment surpassing those of other teachers is necessary to remove fetters.
In other words, it can be proposed that
- Alara Kalama taught the dhamma as the attainment of base of nothingness.
- Uddaka Ramaputta taught a superior dhamma as the attainment of neither perception nor non perception.
- Buddha taught the most excellent dhamma as the attainment of cessation of perception & feeling for the removal of taints.
On the other hand many people believe that cessation of perception & feeling is not required for the removal of taints and it being merely an optional pleasant abiding for those extraordinarily inclined to mastering all variant meditative attainments.
So we have 4 common permutations
1a. Nothing after death of the arahant, no samadhi attainment required
1b. Nothing after death of the arahant, samadhi attainment required
2a. Something after death of the arahant, no samadhi attainment required
2b. Something after death of the arahant, samadhi attainment required
Now what exactly constitutes that samadhi is another point of controversy but i think this is more or less what is common for division as to view now & before too.