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Glossary of algebraic geometry
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Geometric Objects in Algebra
Covers the study of graded modules and quasicoherent sheaves in algebraic geometry.
Tangent Spaces Insights
Explores the relationships between tangent spaces, dimensions, and sub-varieties in algebraic geometry.
Adjunctions and Applications
Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.
Primary Decomposition: Behaviour and Localisation
Explores primary decomposition, recovering rings from spectra, and studying regular functions on spectra.
Projective Morphisms: Theory and Applications
Explores projective morphisms, graded modules, and their applications in algebraic geometry, emphasizing their properties and construction.
Intersection Numbers: Algebraic Counting Solutions
Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.
Differential of a Morphism
Introduces the concept of the differential of a morphism and its applications in algebraic treatments.
The Quadratic Linking Degree
Introduces the quadratic linking degree in motivic knot theory, covering knot theory basics, algebraic geometry, and intersection theory.
Conformal Blocks: Functions on Moduli Spaces
Covers conformal blocks and their significance in complex structures and moduli spaces.
Position Space Approach: Analyzing Banana Feynman Diagrams
Presents the position space approach to banana Feynman diagrams and their differential equations.