Useful background: It may be helpful, though not absolutely essential, to be acquainted with basic notions of projective geometry and in particular the concept of projective space from MA243 Geometry. Moreover, Hilbert's Nullstellensatz and primary decomposition will be essential for the foundations. Within the Regulations and Code of Practice for Taught Programmes.Assessment: Assignments (15%), 3 hour written exam (85%)Īssumed knowledge: MA3G6 Commutative Algebra: The Module will make free use of the basic concepts of ring and module theory, ideals, prime and maximal ideals, localisation, integral closure. The Board of Examiners will take into account any extenuating circumstances and operates If you have self-certificated your absence from anĪssessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period). The Board considers each student's outcomes across all the units which contribute to each year's programme of study. The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. See the Faculty workload statement relating to this unit for more information. Independent learning and assessment activity. Your total learning time is made up of contact time, directed learning tasks, For example a 20 credit unit will take you 200 hours MATHM0036).Įach credit equates to 10 hours of total student input. Search for the list by the unit name or code (e.g. If you are unable to access a list through Blackboard, you can also find it Sometimes there will be a separate link for each If this unit has a Resource List, you will normally find a link to it in theīlackboard area for the unit. Besides the problems classes, there is also a weekly office hour during which students can ask questions about lectures and exercises. The last 2 weeks of the course will be devoted to review and revision, and in this time exercises (both assigned and not assigned) will be addressed. The basic lecture notes will be posted and solutions to most of the exercises will be distributed. The course is based on the lectures and exercises. There are 3 lecture per week and every other week one session is designed as a problem session. Ideals of varieties, irreducible decomposition, Hilbert's Nullstellensatz.they will be able to define toric varieties and read off certain algebro-geometric properties of toric varieties from combinatorial data. They will gain an appreciation of the interplay between algebra and geometry, and finally. They will understand the proofs of basic results in algebraic geometry. They will be able to compute certain algebraic invariants of geometric objects such as degree and dimension. Students who are successful in this course will learn basic constructions and theorems of algebraic geometry. This unit replaces Lie Groups, Lie Algebras and their Representations Your learning on this unit We also study some algebraic geometric objects of a combinatorial nature. The aim of this course is to develop basic algebraic tools to explore the geometry of these varieties. The solution set of a system of polynomial equations forms a geometric object called an algebraic variety. The aim of the unit is to give an introduction to algebraic geometry and investigate the basic algebro-geometric properties of affine and projective varieties.Īlgebraic geometry is the study of systems of polynomial equations. Units you may not take alongside this one Units you must take alongside this one (co-requisite units) Units you must take before you take this one (pre-requisite units) Please see the current academic year for up to date information. Please note: you are viewing unit and programme informationįor a past academic year.
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