# Books/Advanced Topics In Geometry

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## Advanced Topics In Geometry[edit | edit source]

- Spec and Proj
- User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Introduction
- User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Spec
- User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Proj
- User:LSGNT/Advanced Topics In Geometry/Spec and Proj/Solution to exercises
- Blow ups
- User:LSGNT/Advanced Topics In Geometry/Blow ups/Introduction
- User:LSGNT/Advanced Topics In Geometry/Blow ups/First Example: Blowing up C^2 at the origin
- User:LSGNT/Advanced Topics In Geometry/Blow ups/Blowing up an affine variety along an ideal
- User:LSGNT/Advanced Topics In Geometry/Blow ups/Blowing up a complex manifold
- User:LSGNT/Advanced Topics In Geometry/Blow ups/Key examples
- User:LSGNT/Advanced Topics In Geometry/Blow ups/The general definition
- User:LSGNT/Advanced Topics In Geometry/Blow ups/Solution to exercises
- Complex manifolds and the Kähler condition
- User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Almost Complex structures
- User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Integrability
- User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/The Kähler Condition
- User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Exercises
- User:LSGNT/Advanced Topics In Geometry/Complex manifolds and the Kähler condition/Solutions to exercises
- Chern Classes
- User:LSGNT/Advanced Topics In Geometry/Chern Classes/Introduction and Basic Definitions
- User:LSGNT/Advanced Topics In Geometry/Chern Classes/Bundles on spheres
- User:LSGNT/Advanced Topics In Geometry/Chern Classes/Chern classes as degeneracy loci of generic sections
- User:LSGNT/Advanced Topics In Geometry/Chern Classes/Suggested Reading
- User:LSGNT/Advanced Topics In Geometry/Chern Classes/Additional exercises
- User:LSGNT/Advanced Topics In Geometry/Chern Classes/Solutions to exercises
- Classifying spaces, equivariant cohomology and localisation
- User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Classifying spaces
- User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Equivariant cohomology
- User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Localisation
- User:LSGNT/Advanced Topics In Geometry/Classifying spaces, equivariant cohomology and localisation/Solutions to exercises
- Symplectic reduction
- User:LSGNT/Advanced Topics In Geometry/Symplectic reduction/Basic Symplectic Geometry
- User:LSGNT/Advanced Topics In Geometry/Symplectic reduction/Hamiltonian group actions and moment maps
- User:LSGNT/Advanced Topics In Geometry/Symplectic reduction/Symplectic reduction
- Geometric Invariant Theory
- User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Introduction
- User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Reductive groups
- User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Introduction and first examples
- User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Quotients
- User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/GIT in the projective setting
- User:LSGNT/Advanced Topics In Geometry/Geometric Invariant Theory/Solutions to exercises
- Symplectic toric varieties
- User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Introduction
- User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Symplectic toric manifolds from polytopes
- User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Another way to get toric symplectic manifolds
- User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Where is the fan?
- User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Toric blow-up
- User:LSGNT/Advanced Topics In Geometry/Symplectic toric varieties/Solution to exercises
- Lefschetz pencils in algebraic and symplectic geometry
- User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Lefschetz hyperplane theorem
- User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Local study of ordinary double points
- User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Monodromy
- User:LSGNT/Advanced Topics In Geometry/Lefschetz pencils in algebraic and symplectic geometry/Hard Lefschetz Theorem
- Moduli Spaces and Stable Bundles
- User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Introduction
- User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Brief aside on schemes
- User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Back to Moduli Spaces
- User:LSGNT/Advanced Topics In Geometry/Moduli Spaces and Stable Bundles/Moduli Space of Bundles
- Mixed Hodge Structures
- User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Introduction
- User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Linear Algebra and Hodge Theory
- User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Mixed Hodge Structures
- User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/The open smooth case
- User:LSGNT/Advanced Topics In Geometry/Mixed Hodge Structures/Applications
- The Weil conjectures
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Introduction
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/The Weil conjectures
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Introduction
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Transfer
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Counting Points
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/Zeta functions
- User:LSGNT/Advanced Topics In Geometry/The Weil conjectures/The Weil Conjectures
- Atiyah-Singer Index theorem
- User:LSGNT/Advanced Topics In Geometry/Atiyah-Singer Index theorem/K-theory
- User:LSGNT/Advanced Topics In Geometry/Atiyah-Singer Index theorem/Fredholm Operators
- User:LSGNT/Advanced Topics In Geometry/Atiyah-Singer Index theorem/The Atiyah-Singer Index formula (INCOMPLETE)
- Tropical Curves
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Introduction
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Amoebas of Curves
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/The Graph of an Amoeba
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Corner Loci and Tropical Curves
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/The Tropical Semiring
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Weights and the Balancing Condition
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Degree and the Number of Tentacles
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Newton Polygons
- User:LSGNT/Advanced Topics In Geometry/Tropical Curves/Puiseux Series