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Schemes 29: Invertible sheaves over the projective line
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This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.
In this lecture we classify the invertible sheaves over the projective line,
and use them to show that several properties of quasiprojective sheaves over affine schemes do not hold for general schemes.
In this lecture we classify the invertible sheaves over the projective line,
and use them to show that several properties of quasiprojective sheaves over affine schemes do not hold for general schemes.
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Schemes 29: Invertible sheaves over the projective line
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Invertible sheaves of rational functions
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Modules as sheaves
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Schemes 28: Examples of quasicoherent sheaves
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Schemes 27: Quasicoherent sheaves
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Coherent sheaves on projective varieties
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Morphism of Sheaves
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Schemes 48: The canonical sheaf
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Schemes 35: Divisors on a Riemann surface
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Schemes 37: Comparison of Weil and Cartier divisors
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Schemes 36: Weil and Cartier divisors
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