Abelian fibred holomorphic symplectic manifolds

Justin SAWON

Makale detayları

Abelian fibred holomorphic symplectic manifolds

Yazarlar:

Justin SAWON

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.197-230

Belge Tipi:

Makale

Yayın Tarihi:

12/2002

Belge Dili:

Türkçe

Document ID (Org No.):

2000748913

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

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.

 

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.

Makale detayları

Abelian fibred holomorphic symplectic manifolds

Yazarlar:

Justin SAWON

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.197-230

Belge Tipi:

Makale

Yayın Tarihi:

12/2002

Belge Dili:

Türkçe

Document ID (Org No.):

2000748913

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

27

(2003)

197-230. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.27

iss.1.

Sayı

Makale detayları

Abelian fibred holomorphic symplectic manifolds

Yazarlar: Justin SAWON

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.197-230

Belge Tipi: Makale

Yayın Tarihi: 12/2002

Belge Dili: Türkçe

Document ID (Org No.): 2000748913

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

27

(2003)

197-230. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.27

iss.1.

Sayı

Yazarlar:

Justin SAWON

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.197-230

Belge Tipi:

Makale

Yayın Tarihi:

12/2002

Belge Dili:

Türkçe

Document ID (Org No.):

2000748913

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098