Algebraic Geometry (2023–2024)

This is the non-official webpage of the course*Algebraic Geometry*, delivered in the academic year 2023–2024 to the Laurea Magistrale of the University of Trieste and the PhD program at SISSA. See also the UNITS webpage of the course and the academic calendar (including holidays).

For UNITS students: the winter exam session is 5 feb 2024 – 1 mar 2024.

Schedule and meetings

Lecture are in Room 134 (SISSA) every Tuesday 9:00–11:00 and every Thursday 11:00–13:00, starting on October 3rd, 2023.
Here is the detailed schedule.

__Office hours__: Just drop me an email.

Material

Lecture notes.

Exercise sheets:
1,
2,
3.

Bibliographic references

• Qing Liu, *Algebraic Geometry and Arithmetic Curves*, Oxford University Press (2006)

• Robin Hartshorne, *Algebraic Geometry*, GTM, volume 52, Springer New York (1977)

Possible exam topics

- Valuative criteria for separated and proper morphisms
- Infinitesimal lifting criterion for smoothness
- Cohomology and base change
- Cohomology of projective space
- Basics theorems on abelian varieties
- Elliptic curves and their moduli

Past Teaching

*Algebraic Geometry*(SISSA 2022–2023)-
*Geometria e Algebra T*(Università di Bologna) -
*Localisation in Enumerative Geometry*, Spring 2021 PhD course - SISSA *Techniques in Enumerative Geometry*, Fall 2019 PhD course - SISSA*Algebraic Geometry MAT 630*, 2017 Master course - UiS (Norway)*Mathematical Methods 2 MAT200*(teaching assistant) - 2016, UiS (Norway)*Linear Algebra MAT110*(teaching assistant) - 2015, UiS (Norway)*Discrete Mathematics MAT120*- 2014, UiS (Norway)*Geometria e Algebra Lineare*(teaching assistant) - 2013, Politecnico di Torino