Introduction to Toric Varieties. (AM-131), Volume 131 /

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Ri...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fulton, William (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2016]
Colección:Annals of Mathematics Studies ; 131
Temas:
Toric varieties.
MATHEMATICS / Geometry / Algebraic.
Addition.
Affine plane.
Affine space.
Affine variety.
Alexander Grothendieck.
Alexander duality.
Algebraic curve.
Algebraic group.
Atiyah-Singer index theorem.
Automorphism.
Betti number.
Big O notation.
Characteristic class.
Chern class.
Chow group.
Codimension.
Cohomology.
Combinatorics.
Commutative property.
Complete intersection.
Convex polytope.
Convex set.
Coprime integers.
Cotangent space.
Dedekind sum.
Dimension (vector space).
Dimension.
Direct proof.
Discrete valuation ring.
Discrete valuation.
Disjoint union.
Divisor (algebraic geometry).
Divisor.
Dual basis.
Dual space.
Equation.
Equivalence class.
Equivariant K-theory.
Euler characteristic.
Exact sequence.
Explicit formula.
Facet (geometry).
Fundamental group.
Graded ring.
Grassmannian.
H-vector.
Hirzebruch surface.
Hodge theory.
Homogeneous coordinates.
Homomorphism.
Hypersurface.
Intersection theory.
Invertible matrix.
Invertible sheaf.
Isoperimetric inequality.
Lattice (group).
Leray spectral sequence.
Limit point.
Line bundle.
Line segment.
Linear subspace.
Local ring.
Mathematical induction.
Mixed volume.
Moduli space.
Moment map.
Monotonic function.
Natural number.
Newton polygon.
Open set.
Picard group.
Pick's theorem.
Polytope.
Projective space.
Quadric.
Quotient space (topology).
Regular sequence.
Relative interior.
Resolution of singularities.
Restriction (mathematics).
Resultant.
Riemann-Roch theorem.
Serre duality.
Sign (mathematics).
Simplex.
Simplicial complex.
Simultaneous equations.
Spectral sequence.
Subgroup.
Subset.
Summation.
Surjective function.
Tangent bundle.
Theorem.
Topology.
Toric variety.
Unit disk.
Vector space.
Weil conjecture.
Zariski topology.
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