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Version 10.8 Reference Manual

Home - Schemes

Scheme implementation overview
Schemes
The Spec functor
Scheme obtained by gluing two other schemes
Points on schemes
Ambient spaces
Algebraic schemes
Hypersurfaces in affine and projective space
Set of homomorphisms between two schemes
Scheme morphism
Divisors on schemes
Divisor groups

Affine \(n\) space over a ring
Morphisms on affine schemes
Points on affine varieties
Subschemes of affine space
Enumeration of rational points on affine schemes
Set of homomorphisms between two affine schemes

Projective \(n\) space over a ring
Morphisms on projective schemes
Points on projective varieties
Subschemes of projective space
Enumeration of rational points on projective schemes
Set of homomorphisms between two projective schemes
Points of bounded height in projective spaces

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Points on projective schemes
Hom-sets of weighted projective schemes

Products of projective spaces
Set of homomorphisms
Polynomial morphisms for products of projective spaces
Points for products of projective spaces
Subschemes of products of projective spaces
Enumeration of rational points on product projective schemes

Toric varieties
Fano toric varieties
Library of toric varieties
Toric divisors and divisor classes
Toric rational divisor classes
The Chow group of a toric variety
Toric ideals
Morphisms of toric varieties
Subschemes of toric space
Weierstrass form of a toric elliptic curve
Map to the Weierstrass form of a toric elliptic curve
Weierstrass for elliptic curves in higher codimension
Set of homomorphisms between two toric varieties
Enumerate points of a toric variety
Construct sheaves on toric varieties
Klyachko bundles and sheaves

Cyclic covers over a finite field
Cyclic covers curves over a general ring
Computation of the Frobenius polynomial using Newton’s identities
Cyclic cover curve constructor

Elements of Berkovich space.
Berkovich Space over \(\CC_p\)

Index – X

X() (sage.schemes.generic.algebraic_scheme.AlgebraicScheme_quasi method)

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