Introduction to projective varieties
نویسنده
چکیده
0. Algebraic background 1. Projective sets and their ideals; Weak Nullstellensatz 2. Irreducible components 3. Hilbert polynomial. Nullstellensatz 4. Graded modules; resolutions and primary decomposition 5. Dimension, degree and arithmetic genus 6. Product of varieties 7. Regular maps 8. Properties of morphisms 9. Resolutions and dimension 10. Ruled varieties 11. Tangent spaces and cones; smoothness 12. Transversality 13. Parameter spaces 14. Affine varieties vs projective varieties; sheaves 15. The local ring at a point 16. Introduction to affine and projective schemes 17. Vector bundles 18. Coherent sheaves 19. Schemes
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تاریخ انتشار 2007