The many ways of affineness

Last Saturday, the OED Word of the Day was affineur. Now, I know very well what an affineur is (my favorite is Jean d’Alos, and I especially like his renowned Tome de Bordeaux, the excellence of which can probably be confirmed by Mr. Quomodocumque), but for a few seconds I had in mind the picture of a fearsome algebraic geometer busily transforming all projective varieties into affine ones.

I looked at the adjacent words in the OED; there is quite a list of them involving affine-ness in some way (listed here with dates of first use, as recorded in the OED); actually, affineness is not in the list:

  • affinage 1656
  • affinal 1609
  • affine 1509
  • affine v 1473
  • affined 1586, 1907
  • affineur 1976
  • affining 1606
  • affinitative 1855
  • affinitatively 1825
  • affinition 1824
  • affinitive 1579
  • affinity 1325

It is interesting to think of an algebraico-geometric meaning for each of them (especially the tongue twister affinitatively, and affinition)…

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Kowalski

I am a professor of mathematics at ETH Zürich since 2008.

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