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2010
- handle: 10670/1.892coc
- Heier, Gordon; Lu, Steven S. Y. et Wong, Bun (2010). « On the canonical line bundle and negative holomorphic sectional curvature ». Mathematical Research Letters, 17(6), pp. 1101-1110.
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http://archipel.uqam.ca/8604/
Ce document est lié à :
http://dx.doi.org/10.4310/MRL.2010.v17.n6.a9
Ce document est lié à :
doi:10.4310/MRL.2010.v17.n6.a9
Mots-clés
Several complex variables and analytic spaces Complex manifolds Negative curvature manifoldsSujets proches
Instruction and study--Methods Differential geometry Algebraic geometry Complex variables Several complex variables, Functions of Complex variables Spaces, Analytic Instruction and study--MethodsCiter ce document
Gordon Heier et al., « On the canonical line bundle and negative holomorphic sectional curvature », UQAM Archipel : articles scientifiques, ID : 10670/1.892coc
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We prove that a smooth complex projective threefold with a Kähler metric of negative holomorphic sectional curvature has ample canonical line bundle. In dimensions greater than three, we prove that, under equal assumptions, the nef dimension of the canonical line bundle is maximal. With certain additional assumptions, ampleness is again obtained. The methods used come from both complex differential geometry and complex algebraic geometry.