Details
| Original language | English |
|---|---|
| Pages (from-to) | 305-327 |
| Number of pages | 23 |
| Journal | Manuscripta Mathematica |
| Volume | 151 |
| Issue number | 3-4 |
| Publication status | Published - 1 Nov 2016 |
Abstract
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In: Manuscripta Mathematica, Vol. 151, No. 3-4, 01.11.2016, p. 305-327.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On polarization types of Lagrangian fibrations
AU - Wieneck, Benjamin
PY - 2016/11/1
Y1 - 2016/11/1
N2 - The generic fiber of a Lagrangian fibration on an irreducible holomorphic symplectic manifold is an abelian variety. Associate a polarization type to such Lagrangian fibrations coming from polarizations on a generic fiber. We prove that this polarization type is constant in families of Lagrangian fibrations. Further, we determine the polarization type of K 3 [ n ]-type fibrations and conjecture that the polarization type should only depend on the deformation type of the total space.
AB - The generic fiber of a Lagrangian fibration on an irreducible holomorphic symplectic manifold is an abelian variety. Associate a polarization type to such Lagrangian fibrations coming from polarizations on a generic fiber. We prove that this polarization type is constant in families of Lagrangian fibrations. Further, we determine the polarization type of K 3 [ n ]-type fibrations and conjecture that the polarization type should only depend on the deformation type of the total space.
UR - http://www.scopus.com/inward/record.url?scp=84964403862&partnerID=8YFLogxK
UR - https://arxiv.org/abs/1501.04489
U2 - 10.1007/s00229-016-0845-z
DO - 10.1007/s00229-016-0845-z
M3 - Article
AN - SCOPUS:84964403862
VL - 151
SP - 305
EP - 327
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
IS - 3-4
ER -