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Lecture
Algebraic Varieties and Morphisms
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Related lectures (32)
Group Actions on Varieties
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Explores group actions on varieties, including orbits, stabilizers, and G-invariant morphisms.
G-modules and G-varieties
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Explores the embedding of chi-varieties into vector spaces with linear actions.
Dimension of Algebraic Variety
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Explores the dimension of algebraic varieties, including the (Krull)-dimension of rings and computing dimensions using tools from commutative algebra.
Fixed points, orbits, and stabilizers
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Covers fixed points, orbits, and stabilizers in G-varieties, including properties of closed subgroups and faithful actions.
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.
Primary Decomposition: Behaviour and Localisation
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Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.
Riemann Zeta Function
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Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.
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.
Projective Morphisms: Theory and Applications
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Explores projective morphisms, graded modules, and their applications in algebraic geometry, emphasizing their properties and construction.
Affine varieties: additional observations
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Covers coordinate rings, closed embeddings, and operations on affine varieties.
Regularity and Geometric Meaning
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Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.
Homogeneous Ideals and Regular Rings
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Explores homogeneous ideals, regular rings, N-graded rings, and closed sets in projective geometry.
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