401314570L Algebraic Geometry I
Semester  Autumn Semester 2020 
Lecturers  P. Yang 
Periodicity  nonrecurring course 
Language of instruction  English 
Comment  Registration for this course unit has been closed. 
Courses
Number  Title  Hours  Lecturers  

401314570 V  Algebraic Geometry I "Hybrid" Classroom attendance is limited and is only possible upon invitation by the lecturer. All other students will have to follow the course online.  4 hrs 
 P. Yang  
401314570 U  Algebraic Geometry I Groups are selected in myStudies.  1 hrs 
 P. Yang 
Catalogue data
Abstract  This course is an introduction to Algebraic Geometry (algebraic varieties). 
Objective  Learning Algebraic Geometry. 
Literature  Primary reference: * I. R. Shafarevich, Basic Algebraic geometry 1 & 2, SpringerVerlag. * M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, AddisonWesley Publ., 1969. Secondary reference: * Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer. * 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. * D. Eisenbud: Commutative algebra. With a view towards algebraic geometry, GTM 150, Springer Verlag, 1995. * H. Matsumura, Commutative ring theory, Cambridge University Press 1989. * N. Bourbaki, Commutative Algebra. 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, http://math.stanford.edu/~vakil/216blog/ * Jean Gallier and Stephen S. Shatz, Algebraic Geometry http://www.cis.upenn.edu/~jean/algeom/steve01.html "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, http://www.jmilne.org/math/CourseNotes/AG.pdf Further readings: * Günter Harder: Algebraic Geometry 1 & 2 * Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA * Saunders MacLane: Categories for the Working Mathematician, SpringerVerlag. 
Prerequisites / Notice  Linear 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  P. Yang 
Type  session examination 
Language of examination  English 
Repetition  The performance assessment is offered every session. Repetition possible without reenrolling for the course unit. 
Mode of examination  oral 30 minutes 
This information can be updated until the beginning of the semester; information on the examination timetable is binding. 
Learning materials
No public learning materials available.  
Only public learning materials are listed. 
Groups
401314570 U  Algebraic Geometry I  
Groups  G01 
 
G02 

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 