You are here:

96734 - Scheme Theory

Academic Year 2021/2022

                
                        Docente:
                        Andrea Petracci
                    
                        Credits:
                        6
                    
                        SSD:
                        MAT/03
                    
                        Language:
                        Italian
                    
                        Teaching Mode:
                        Traditional lectures
                        
                            Campus:
                            Bologna
                        
                            Corso:
                            Second cycle degree programme (LM) in
                            Mathematics (cod. 5827)

                            Teaching resources on Virtuale

Course contents

All information can be found at:

https://www.dm.unibo.it/~andrea.petracci3/2022Schemi/

Scheme theory, which was developed by Alexander Grothendieck, is the modern and rigorous language with which one studies algebraic geometry. It unifies classical algebraic geometry and algebraic number theory.

The topics of this class include: sheaves, schemes, global and local properties of schemes, coherent sheaves, sheaf cohomology.

Prerequisites: commutative algebra

Readings/Bibliography

Hartshorne, Algebraic geometry, GTM 52, Springer

Liu, Algebraic Geometry and Arithmetic Curves, Oxford Graduate Texts in Mathematics

Assessment methods

Homework + Oral exam

Links to further information

https://www.dm.unibo.it/~andrea.petracci3/2022Schemi/

Office hours

See the website of Andrea Petracci