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We apply a conjectured inequality on third chern classes of stable two-term complexes on threefolds to Fujita's conjecture.
Vector bundles of rank 2 2 and linear systems on algebraic surfaces
Igor Reider · 1988
Earlier work this paper cites.
Global generation of pluricanonical and adjoint linear series on smooth projective threefolds
Lawrence Ein and Robert Lazarsfeld · 1993
Earlier work this paper cites.
Remarks on Ein-Lazarsfeld criterion of spannedness of adjoint bundles of polarized threefolds, 1993
Takao Fujita · 1993
Earlier work this paper cites.
Towards a separation theorem of points by adjoint linear systems on polarized threefolds, 1994
Takao Fujita · 1994
Earlier work this paper cites.
Tilting in abelian categories and quasitilted algebras
Dieter Happel, Idun Reiten, and Sverre O. Smalø · 1996
Cited alongside, same era.
On Fujita’s conjecture
Stefan Helmke · 1997
Cited alongside, same era.
On Fujita’s freeness conjecture for 3 3 -folds and 4 4 -folds
Yujiro Kawamata · 1997
Cited alongside, same era.
Positivity in algebraic geometry. II
Robert Lazarsfeld · 2004
Cited alongside, same era.
Stability conditions on triangulated categories
Tom Bridgeland · 2007
Later among the works it cites.
Reider’s theorem and Thaddeus pairs revisited
Daniele Arcara and Aaron Bertram · 2011
Closest in time.
Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities, 2011
Arend Bayer, Emanuele Macrì, and Yukinobu Toda · 2011
Closest in time.
A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space, 2012
Emanuele Macrì · 2012
Closest in time.
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