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Abstract algebra / Algebra / Geometry / Algebraic geometry / Fano variety / Birational geometry / Divisor / Projective variety / Coherent sheaf / Hodge structure / Cohomology / Ample line bundle
Date: 2014-06-03 17:41:05
Abstract algebra
Algebra
Geometry
Algebraic geometry
Fano variety
Birational geometry
Divisor
Projective variety
Coherent sheaf
Hodge structure
Cohomology
Ample line bundle

CURVES OF LOW DEGREES IN FANO VARIETIES OLIVIER DEBARRE Abstract. We work over the complex numbers. Fano manifolds are smooth projective varieties whose canonical bundle is antiample. In dimensions at most 3, they are al

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