# 401-3146-12L Algebraic Geometry

Semester | Spring Semester 2020 |

Lecturers | D. Johnson |

Periodicity | yearly recurring course |

Language of instruction | English |

### Courses

Number | Title | Hours | Lecturers | |||||||
---|---|---|---|---|---|---|---|---|---|---|

401-3146-12 V | Algebraic Geometry | 4 hrs |
| D. Johnson | ||||||

401-3146-12 U | Algebraic Geometry | 1 hrs |
| D. Johnson |

### Catalogue data

Abstract | This course is an Introduction to Algebraic Geometry (algebraic varieties and schemes). |

Objective | Learning Algebraic Geometry. |

Literature | Primary reference: * Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer. Secondary reference: * Qing Liu: Algebraic Geometry and Arithmetic Curves, Oxford Science Publications. * Robin Hartshorne: Algebraic Geometry, Graduate Texts in Mathematics, Springer. * Siegfried Bosch: Algebraic Geometry and Commutative Algebra (Springer 2013). Other good textbooks and online texts are: * David Eisenbud, Joe Harris: The Geometry of Schemes, Graduate Texts in Mathematics, Springer. * Ravi Vakil, Foundations of Algebraic Geometry, Link * Jean Gallier and Stephen S. Shatz, Algebraic Geometry Link "Classical" Algebraic Geometry over an algebraically closed field: * Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer. * J.S. Milne, Algebraic Geometry, Link Further readings: * Günter Harder: Algebraic Geometry 1 & 2 * I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag. * Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA * Saunders MacLane: Categories for the Working Mathematician, Springer-Verlag. |

Prerequisites / Notice | Requirement: Some knowledge of Commutative Algebra. |

### Performance assessment

Performance assessment information (valid until the course unit is held again) | |

Performance assessment as a semester course | |

ECTS credits | 10 credits |

Examiners | D. Johnson |

Type | end-of-semester examination |

Language of examination | English |

Repetition | The performance assessment is only offered at the end after the course unit. Repetition only possible after re-enrolling. |

Additional information on mode of examination | oral 30 minutes. Be aware that there is no exam repetition. |

### Learning materials

Main link | Moodle Link |

Only public learning materials are listed. |

### Groups

No information on groups available. |

### Restrictions

There are no additional restrictions for the registration. |

### Offered in

Programme | Section | Type | |
---|---|---|---|

Mathematics Bachelor | Core Courses: Pure Mathematics | W | |

Mathematics Master | Core Courses: Pure Mathematics | W |