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We bound the genus of a projective curve lying on a complete intersection surface in terms of its degree and the degrees of the defining equations of the surface on which it lies.
The genus of space curves
Joe Harris · 1980
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Curves in projective space
Joe Harris · 1982
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The genus of projective curves
L. Chiantini, C. Ciliberto, and V. Di Gennaro · 1993
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The genus of curves in ℙ 4 \mathbb{P}^{4} verifying certain flag conditions
Luca Chiantini, Ciro Ciliberto, and Vincenzo Di Gennaro · 1995
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On the genus of projective curves verifying certain flag conditions
Luca Chiantini, Ciro Ciliberto, and Vincenzo Di Gennaro · 1996
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Multigraded Hilbert schemes
Mark Haiman and Bernd Sturmfels · 2004
Cited alongside, same era.
Hierarchical structure of the family of curves with maximal genus verifying flag conditions
Vincenzo Di Gennaro · 2008
Cited alongside, same era.
Refining Castelnuovo-Halphen bounds
Vincenzo Di Gennaro and Davide Franco · 2012
Cited alongside, same era.
Fourier mukai tranforms and bridgeland stability conditions on abelian threefolds
A. Maciocia and D. Piyaratne · 2013
Cited alongside, same era.
Fourier mukai tranforms and bridgeland stability conditions on abelian threefolds ii
A. Maciocia and D. Piyaratne · 2013
Cited alongside, same era.
A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold
B. Schmidt · 2013
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The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds
Arend Bayer, Emanuele Macrì, and Paolo Stellari · 2014
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Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities
Arend Bayer, Emanuele Macrì, and Yukinobu Toda · 2014
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A generalized Bogomolov–Gieseker inequality for the three-dimensional projective space
Emanuele Macrì · 2014
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