## MAT 615: Complex Curves and Surfaces
## Stony Brook Spring 2023 |
---|

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

Date |
Topic |
Read |
Problem Set |

01/23, M | Introduction | G&H 2.0,2.1 | #1 |

01/25, W | Some key properties | ||

01/30, M | Jacobian of a curve | G&H 2.2 | |

02/01, W | Proof of Abel's Theorem | ||

02/06, M | Jacobi Inversion | ||

02/08, W | Riemann-Roch for a curve | G&H 2.3 | #2 |

02/13, M | Castelnuvo bound | ||

02/15, W | Branched covers | ||

02/20, M | Riemann count | ||

02/22, W | Curves of low genus/degree | ||

02/27, M | Elliptic curves and moduli problem | Hain A,1,2 | #3 |

03/01, W | |||

03/06, W | Orbifolds | Hain 3 | |

03/08, W | Modular forms | Hain 4 | |

03/20, M | Relation with plane cubics | Hain 5 | #4 |

03/22, W | Moduli space of elliptic curves | ||

03/27, M | Blowups and blowdowns of surfaces | G&H 4.0,4.1 | |

03/29, W | Castelnuovo-Enriques Criterion | G&H 4.0,4.1 | |

04/03, M | Normalizations of curves on surfaces | pp396-397 pp498-510 | |

04/05, W | Arithmetic and geometric genera | ||

4/10, M | Rational maps on surfaces | pp489-498 pp510-512 |
#5 |

4/12, W | Rational ruled surfaces | G&H 4.3 | |

04/17, M | Minimal rational surfaces | ||

04/19, W | Detecting rational surfaces | G&H 4.4 | |

04/24, M | Irrational ruled surfaces | G&H 4.5 | |

04/26, W | |||

05/01, M | Other types of surfaces | ||

05/03, W |

This page is maintained by Aleksey Zinger.