## MAT 644: Complex Curves and Surfaces
## Stony Brook Spring 2020 |
---|

In the **Read** column below, G&H *a*.*b* refers
to Chapter *a*, Section *b* in Griffthis and Harris.

Date |
Topic |
Read |
Problem Set |

01/27, M | Introduction | G&H 2.0,2.1 | #1 |

01/29, W | Some key properties | ||

02/03, M | Jacobian of a curve | G&H 2.2 | |

02/05, W | Proof of Abel's Theorem | ||

02/10, M | Jacobi Inversion | ||

02/12, W | Riemann-Roch for a curve | G&H 2.3 | #2 |

02/17, M | Castelnuvo bound | ||

02/19, W | Riemann count | ||

02/24, M | Branched covers | ||

02/26, W | Curves of low genus/degree | ||

03/02, M | Elliptic curves and moduli problem | Hain A,1,2 | #3 |

03/04, W | |||

03/09, M | Orbifolds | Hain 3 | |

03/11, W | Modular forms | Hain 4 | |

03/30, M | Relation with plane cubics notes | Hain 5 |
#4 |

04/01, W | Moduli space of elliptic curves notes | ||

04/06, M | Blowups and blowdowns of surfaces notes | G&H 4.0,4.1 | |

04/08, W | Normalizations of curves on surfaces notes | pp396-397 pp498-510 | |

04/13, M | More on curves on surfaces notes | ||

04/15, W | Rational maps on surfaces notes | pp489-498 pp510-512 |
#5 |

04/20, M | Rational ruled surfaces notes | G&H 4.3 | |

04/22, W | Minimal rational surfaces notes | ||

04/27, M | Detecting rational surfaces notes | G&H 4.4 | |

04/29, W | Irrational ruled surfaces I notes | G&H 4.5 | #6 |

05/04, M | Irrational ruled surfaces II notes | ||

05/06, W | Other types of surfaces notes |

This page is maintained by Aleksey Zinger.