Two definitions of "affine stratification"

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I see two different definitions of "affine stratification" in the literature:

  • A stratification where each stratum is isomorphic to $\mathbb{A}^n$ for some $n$.
  • A stratification where each stratum is an affine variety (or scheme).

This makes searching for information about one or the other annoying. Is there some additional adjective I can use to specify the former rather than the latter?