You must be logged in to take this course → LOGIN | REGISTER NOW
You would hardly find any place where algebraic geometry is not implied. So, this [course_title] will help you understand what Algebraic Geometry really is with easy examples focusing on their varieties, diverse fields, relationships and the language of schemes and properties of morphisms.
By completing this [course_title], you would be able to apply it in statistics, various theories related to Algebraic Geometry, robotics, phylogenetics and so on.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certificate at a cost of £49.
Having an Official Edukite Certification is a great way to celebrate and share your success. You can:
- Add the certificate to your CV or resume and brighten up your career
- Show it to prove your success
Course Credit: MIT
Course Curriculum
Module: 01 | |||
Course Introduction, Zariski Topology | 00:15:00 | ||
Affine Varieties | 00:15:00 | ||
Projective Varieties, Noether Normalization | 00:15:00 | ||
Grassmannians, Finite and Affine Morphisms | 00:20:00 | ||
More on Finite Morphisms and Irreducible Varieties | 00:15:00 | ||
Module: 02 | |||
Function Field, Dominant Maps | 00:15:00 | ||
Product of Varieties, Separatedness | 00:15:00 | ||
Product Topology, Complete Varieties | 00:15:00 | ||
Chow’s Lemma, Blowups | 00:15:00 | ||
Sheaves, Invertible Sheaves on P1 | 00:15:00 | ||
Module: 03 | |||
Sheaf Functors and Quasi-coherent Sheaves | 00:20:00 | ||
Quasi-coherent and Coherent Sheaves | 00:15:00 | ||
Invertible Sheaves | 00:10:00 | ||
(Quasi)coherent Sheaves on Projective Spaces | 00:15:00 | ||
Divisors and the Picard Group | 00:15:00 | ||
Module: 04 | |||
Bezout’s Theorem | 00:15:00 | ||
Abel-Jacobi Map, Elliptic Curves | 00:15:00 | ||
Kähler Differentials | 00:15:00 | ||
Smoothness, Canonical Bundles, the Adjunction Formula | 00:10:00 | ||
(Co)tangent Bundles of Grassmannians | 00:05:00 | ||
Module: 05 | |||
Riemann-Hurwitz Formula, Chevalley’s Theorem | 00:15:00 | ||
Bertini’s Theorem, Coherent Sheves on Curves | 00:15:00 | ||
Derived Functors, Existence of Sheaf Cohomology | 00:20:00 | ||
Birkhoff–Grothendieck, Riemann-Roch, Serre Duality | 00:10:00 | ||
Proof of Serre Duality | 00:10:00 | ||
Assessment | |||
Submit Your Assignment | 00:00:00 | ||
Certification | 00:00:00 |
Course Reviews
No Reviews found for this course.