Excursion

On Monday, November 5, Karin & Lena will lead an excursion to Leipzig where Fields medalist Peter Scholze will deliver the Chow Lectures. There will be an extensive pre-lecture program to bring you up to speed.

Departure at 7am with ICE 595.

 

 

Inhalt: eine Auswahl der Themen

  • Eigenschaften von Morphismen (eigentlich, projektiv, glatt)
  • (quasi-)cohärente Garben
  • Divisoren
  • Kohomologie
  • Hilbert-Funktion

 

Literatur

 

[GW] Götz, Wedhorn: Algebraic Geometry I. Vieweg+Teubner, 2010.

[H] Hartshorne: Algebraic Geometry. Springer GTM 52, 1977.

[EH] Eisenbud, Harris: The Geometry of Schemes. Springer GTM 197, 2000.

[CLS] Cox, Little, Schenck: Toric Varieties. AMS GSM 124, 2011.

[V] Vakil: The Rising Sea: Foundations Of Algebraic Geometry, 2017.

 

Lecture

10-16 Overview; Proj of a graded ring [GW (13.1)-(13.2)], [H pp 76-77], [V §4.5]
10-23

separated morphisms

cones and dual cones

[GW (9.1)-(9.4)], [V 1.3.S]

[CLS, 1.2.1-1.2.5]
10-30

proper morphisms

finite ⇒ proper

projective space is proper

[GW (12.13)], [V 10.3]

[V 10.3.3]

[V 10.3.5]
11-6    
11-13    
11-20    
11-27