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### Blowing Up Schemes

**Student-Run Algebraic Geometry Seminar**

Speaker: | Xiang He, UC Davis |

Location: | 2112 MSB |

Start time: | Wed, Nov 12 2014, 4:10PM |

We define the Proj of a graded sheaf of algebras over a scheme X, and we give two important examples, namely the projective bundle associated with a locally free sheaf, and the definition of blowing up with respect to a coherent sheaf of ideals. cf. Hartshorne “Algebraic Geometry” Chapter II section 7.