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Related lectures (31)
Smooth Projective Varieties
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Covers regular and smooth projective varieties, hypersurfaces, and algebraic dimensions.
Quotients of Linear Groups by Linearly Reductive Groups
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Explores constructing quotients of linear algebraic groups by linearly reductive sub-groups.
Field of Rational Functions
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Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
Compact Manifolds Classification
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Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.
Algebraic Varieties in Linear Algebra
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Explores algebraic varieties in linear algebra, focusing on their nature, determinants, irreducibility, prime properties, and geometric representation theory.
Affine Algebraic Varieties: Zariski Topology
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Explores affine algebraic varieties, emphasizing the Zariski Topology and regular functions.
Variety Defined as the Closure of VCA
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Explores the concept of variety defined as the closure of VCA and its applications in algebraic geometry.
Algebraic Varieties and Morphisms
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Introduces projective, quasi-projective, and algebraic varieties, emphasizing the importance of regular functions in defining morphisms.
Group Actions on Varieties
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Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.
Commutative algebraic groups
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Covers the properties of commutative linear algebraic groups and their elements.
Regular Functions on Quasi-Affine Varieties
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Explores regular functions on quasi-affine varieties, defining morphisms, local rings, and rational functions.
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