Examples of non-commutative Hodge structures

Details Examples of non-commutative Hodge structures Examples of non-commutative Hodge structures

2009-12-14

arxiv.org/abs/0912.2754v2

Journal of the Inst. of Math. Jussieu (2011) 10(3), 635--674

Mathematics

Algebraic Geometry

38 pages. Changes in v2: title changed, some corrections and improvements

Scientific paper

10.1017/S147474801100003X

We show that if the Stokes matrix of a connection with a pole of order two
and no ramification gives rise, when added to its adjoint, to a positive
semi-definite Hermitian form, then the associated integrable twistor structure
(or TERP structure, or non-commutative Hodge structure) is pure and polarized.

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