Wiki Τμήματος Μαθηματικών
Algebraic Geometry (ΓΕ7): Διαφορά μεταξύ των αναθεωρήσεων

Algebraic Geometry (ΓΕ7): Διαφορά μεταξύ των αναθεωρήσεων

Από Wiki Τμήματος Μαθηματικών
Χωρίς σύνοψη επεξεργασίας
 
(7 ενδιάμεσες αναθεωρήσεις από τον ίδιο χρήστη δεν εμφανίζεται)
Γραμμή 1: Γραμμή 1:
[[Graduate Courses Outlines]] - [https://math.uoi.gr  Department of Mathematics]
* [[Αλγεβρική Γεωμετρία (ΓΕ7)|Ελληνική Έκδοση]]
{{Course-Graduate-Top-EN}}
{{Menu-OnAllPages-EN}}


=== General ===
=== General ===
Γραμμή 49: Γραμμή 51:
! Learning outcomes
! Learning outcomes
|
|
ΧΧΧ
The aim of the course is the postgraduate student to reach a good level of theoretical background on topics related to the algebraic geormetry.
|-
|-
! General Competences
! General Competences
|
|
ΧΧΧ
The aim of the course is to empower the postgraduate student to analyse and compose advanced notions of Algebraic Geometry.
|}
|}


=== Syllabus ===
=== Syllabus ===


ΧΧΧ
Affine Varieties, Nullstellensatz, dimension,  Regular and rational functions on Varieties,  Projective varieties, birational geometry,  tangent space and nonsingularity, divisors, differential forms, canonical class, Riemann-Roch theorem.


=== Teaching and Learning Methods - Evaluation ===
=== Teaching and Learning Methods - Evaluation ===
Γραμμή 66: Γραμμή 68:
! Delivery
! Delivery
|
|
ΧΧΧ
Face-to-face
|-
|-
! Use of Information and Communications Technology
! Use of Information and Communications Technology
|
| -
ΧΧΧ
|-
|-
! Teaching Methods
! Teaching Methods
Γραμμή 81: Γραμμή 82:
| 39
| 39
|-
|-
| ΧΧΧ
| Study of theory
| 000
| 78
|-
|-
| ΧΧΧ
| Solving of exercises
| 000
| 70.5
|-
|-
| Course total  
| Course total  
Γραμμή 93: Γραμμή 94:
! Student Performance Evaluation
! Student Performance Evaluation
|
|
ΧΧΧ
Written exam at the end of semester (obligatory), problem solving or/and intermediate exams (optional).
|}
|}


Γραμμή 99: Γραμμή 100:


<!-- In order to edit the bibliography, visit the webpage -->
<!-- In order to edit the bibliography, visit the webpage -->
<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAM199-Biblio -->
<!-- https://wiki.math.uoi.gr/index.php/%CE%A0%CF%81%CF%8C%CF%84%CF%85%CF%80%CE%BF:MAM125-Biblio -->


{{MAM199-Biblio}}
{{MAM125-Biblio}}

Τελευταία αναθεώρηση της 16:28, 15 Ιουνίου 2023

General

School School of Science
Academic Unit Department of Mathematics
Level of Studies Graduate
Course Code ΓΕ7
Semester 2
Course Title Algebraic Geometry
Independent Teaching Activities Lectures (Weekly Teaching Hours: 3, Credits: 7.5)
Course Type Special Background
Prerequisite Courses -
Language of Instruction and Examinations

Greek

Is the Course Offered to Erasmus Students Yes (in English)
Course Website (URL) See eCourse, the Learning Management System maintained by the University of Ioannina.

Learning Outcomes

Learning outcomes

The aim of the course is the postgraduate student to reach a good level of theoretical background on topics related to the algebraic geormetry.

General Competences

The aim of the course is to empower the postgraduate student to analyse and compose advanced notions of Algebraic Geometry.

Syllabus

Affine Varieties, Nullstellensatz, dimension, Regular and rational functions on Varieties, Projective varieties, birational geometry, tangent space and nonsingularity, divisors, differential forms, canonical class, Riemann-Roch theorem.

Teaching and Learning Methods - Evaluation

Delivery

Face-to-face

Use of Information and Communications Technology -
Teaching Methods
Activity Semester Workload
Lectures 39
Study of theory 78
Solving of exercises 70.5
Course total 187.5
Student Performance Evaluation

Written exam at the end of semester (obligatory), problem solving or/and intermediate exams (optional).

Attached Bibliography

  • Shafarevich, Igor R. Basic algebraic geometry 1, Varieties in Projective Space, Springer, 2013.
  • Shafarevich, Igor R. Basic algebraic geometry 2, Schemes and Complex Manifolds, Springer, 2013.
Ανακτήθηκε από «https://wiki.math.uoi.gr/index.php?title=Algebraic_Geometry_(ΓΕ7)&oldid=4668»