Justin SAWON

6089

Abelian fibred holomorphic symplectic manifolds

We study holomorphic symplectic manifolds which are fibred by abelian varieties. This structure is a higher dimensional analogue of an elliptic fibration on a K3 surface. We investigate when a holomorphic symplectic manifold is fibred in this way, and are led to several natural conjectures. We then study the geometry of these fibrations. The expectation is that this point of view will prove useful in understanding holomorphic symplectic manifolds, and possibly lead to a classification.

Anahtar Kelimeler:

Turk. J. Math., 27, (2003), 197-230. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.

Abelian fibred holomorphic symplectic manifolds

We study holomorphic symplectic manifolds which are fibred by abelian varieties. This structure is a higher dimensional analogue of an elliptic fibration on a K3 surface. We investigate when a holomorphic symplectic manifold is fibred in this way, and are led to several natural conjectures. We then study the geometry of these fibrations. The expectation is that this point of view will prove useful in understanding holomorphic symplectic manifolds, and possibly lead to a classification.

Keywords:

Turk. J. Math., 27, (2003), 197-230. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

Duality and Fibrations on G2 Manifolds

Abelian fibred holomorphic symplectic manifolds

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Adjunction inequality and coverings of Stein surfaces

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Duality and fibrations on $G_2$ manifolds

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Comparing open book and Heegaard decompositions of 3-manifolds

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