Regularity and Geometric Meaning

Related lectures (31)

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Explores tangent spaces in algebraic geometry, defining them as finite-dimensional subspaces of derivations on varieties.

Covers the GAGA principle, stating that any morphism on projective varieties is constant.

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Explores affine varieties, hypersurfaces, dimension in algebraic geometry, minimal prime ideals, and local properties of plane curves.

Explores geometric examples related to linear applications in algebra.

Covers regular and smooth projective varieties, hypersurfaces, and algebraic dimensions.

Covers the concept of locally Noetherian schemes in algebraic geometry.

Covers antiderivatives, fundamental theorems, integration techniques, and rational functions.

Covers invariants and dimensions of projective varieties, emphasizing their importance.

Covers modern algebraic geometry, focusing on schemes and affine schemes, including a review of classical algebraic geometry and Bézout's theorem.