MAGIC074: Algebraic Geometry

Course details

A core MAGIC course

Semester

Autumn 2019
Monday, October 7th to Friday, December 13th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
40

Timetable

Fridays
09:05 - 09:55 (UK)

Description

A first course in algebraic geometry, as the study of ringed spaces (of functions), which is a half-way house between classical algebraic geometry and modern scheme theory.

Prerequisites

Familiarity with undergraduate commutative algebra (rings and their homomorphisms, ideals, quotient rings). It is advisable to take MAGIC 073 (Commutative Algebra) in parallel. No prior knowledge of algebraic geometry is assumed.

Related courses

Syllabus

Varieties (affine, projective and ringed spaces) and their morphisms; Affine varieties as MaxSpec(A); Geometry via the Nullstellensatz; The Zariski topology; The Hilbert basis theorem and the Noetherian property; Irreducibility, dimension and tangent spaces; Affine and finite morphisms; Hypersurfaces; Projective spaces and the Segre embedding;

Lecturer

  • VD

    Valentina Di Proietto

    University
    University of Exeter

Bibliography

Follow the link for a book to take you to the relevant Google Book Search page

You may be able to preview the book there and see links to places where you can buy the book. There is also link marked 'Find this book in a library' - this sometimes works well, but not always - you will need to enter your location, but it will be saved after you do that for the first time.

Assessment

The assessment for this course will be released on Monday 6th January 2020 at 00:00 and is due in before Sunday 19th January 2020 at 23:59.

The assessment for this course will be via a single take-home paper in January with 2 weeks to complete and submit online. The total number of marks is 100. You will need a mark of 50 to pass.

Please note that you are not registered for assessment on this course.

Files

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Lectures

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