Fetching the paper…

Reading the bibliography…

2008

Hyperkahler SYZ conjecture and semipositive line bundles

Verbitsky, Misha

Original
PDF
Post on X

Understand

Let $M$ be a compact, holomorphic symplectic Kaehler manifold, and $L$ a non-trivial line bundle admitting a metric of semi-positive curvature.

We show that some power of $L$ is effective.
This result is related to the hyperkaehler SYZ conjecture, which states that such a manifold admits a holomorphic Lagrangian fibration, if $L$ is not big.

Hyperkahler SYZ conjecture and semipositive line bundles · Around

Built on

Bogomolov, F. A.,
1974
Earlier work this paper cites.
Griffiths, Ph., Harris, J.,
1978
Earlier work this paper cites.
Beauville, A
1983
Earlier work this paper cites.
Y. Kawamata,
1985
Earlier work this paper cites.
Uhlenbeck K., Yau S. T.,
1986
Earlier work this paper cites.
Besse, A.,
1987
Earlier work this paper cites.
Fujiki, A
1987
Earlier work this paper cites.
Enoki, Ichiro,
1993
Earlier work this paper cites.
Demailly, Jean-Pierre, Thomas Peternell, Michael Schneider,
1994
Earlier work this paper cites.

Similar

M. Lübke and A. Teleman,
1995
Cited alongside, same era.
Demailly, Jean-Pierre,
1996
Cited alongside, same era.
A. Strominger, S.-T. Yau, and E. Zaslow,
1996
Cited alongside, same era.
Verbitsky, M.,
1996
Cited alongside, same era.
Takegoshi, K.,
1997
Cited alongside, same era.
Mourougane, Ch.,
1999
Cited alongside, same era.
Demailly, Jean-Pierre,
2000
Cited alongside, same era.
Jean-Pierre Demailly, Thomas Peternell, Michael Schneider,

Then

Brendan Hassett, Yuri Tschinkel,
2001
Later among the works it cites.
Huybrechts, Daniel,
2001
Later among the works it cites.
D. Matsushita,
2001
Later among the works it cites.
Huybrechts, Daniel,
2003
Later among the works it cites.
J. Sawon,
2003
Later among the works it cites.
Boucksom, S.,
2004
Later among the works it cites.
M. Verbitsky,
2007
Later among the works it cites.
D. Matsushita,
2008
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2001

Cited alongside, same era.

Frederic Campana, Thomas Peternell (with an appendix by Matei Toma),

Cited in the paper.

Frederic Campana, Keiji Oguiso, Thomas Peternell,

Cited in the paper.

Cited in the paper.

Verbitsky, M.,

Cited in the paper.