Giovanni Gaiffi

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Abstract. Given an orientable weakly self-dual manifold X of rank two, we build a geometric realization of the Lie algebra sl(6, C) as a naturally defined algebra LC of endomorphisms of the space of differential forms of X. We provide an explicit description of Serre generators in terms of natural generators of LC. This construction gives a bundle on X(More)
We study the general properties of rank two s-Kähler manifolds. We present several natural examples of manifolds which can be equipped with this structure with various levels of rigidity: complex tori and abelian varieties, cotangent bundles of smooth manifolds and moduli of pointed elliptic curves. We show how one can obtain natural bundles of Lie algebras(More)
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