Nori's fundamental group of nilpotent bundles is uniquely determined by H¹(X, O_X), H²(X, O_X) and the cup product on a geometrically connected smooth proper variety over a char-0 field.
Consider the morphismω(E n)⊗ω(E n)→ω(E n), defined as(s, t)7→ω(f s)(t)
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On iterated universal extensions and Nori's fundamental group of nilpotent bundles
Nori's fundamental group of nilpotent bundles is uniquely determined by H¹(X, O_X), H²(X, O_X) and the cup product on a geometrically connected smooth proper variety over a char-0 field.