1 attitude towards "coherent" ... free cocomplete ag theory on ag theory... "coherent core" ... or something... ??any reason to define such core in non-coherent case?? and so forth... ??sa "finitely presented" ... ??no claim about any alleged meaning of concept in "sheaf" case ... ?? ... ??something not really studying a different doctrine; just studying specially simple examples... ??though also with constraint on morphisms... ??...
2 proof of left-universal property as ag theory of coherent sheaves over P^1 ...
????something about cohomology...
???something about ag theory of n-tuple of line bundles equipped with (for example) lie alg structure... and so forth ...
???something about "renormalization" and so forth... filtered... associated graded ... and so forth... normal bundle... ???...
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