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Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Toric Varieties and Polytope Combinatorics

Connects combinatorial properties of polytopes to geometric properties of toric varieties and their invariants.

Singularity Resolution Through Polytope Refinement
Mirror Symmetry in Toric Fan Geometries
Cohomology Jumping Beyond Moment Polytopes
Derived Categories of Toric Stacks
Tropical Degenerations and Lattice Polytopes
Intersection Theory on Complete Toric Models
Secondary Polytopes and Moduli Space Structure
Stringy Invariants from Combinatorial Polytope Data
Toric Embeddings of Non-Normal Varieties
Quantum Cohomology via Toric Curve Counting

All Algebraic Geometry PhD categories