I am looking for a book/text which introduces toric varieties in reverse order. Instead of starting with lattices, cones, fans and convex geometry, it should start with a toric variety $X$ and define from it the lattices $N$ and $M$ of cocharacters and characters of its dense torus, talks about limits, orbits, etc. and finally constructs the fan associated to the toric variety $X$. I can not find any text which does that. It is okay if the text assumes some basic knowledge of algebraic groups and geometric invariant theory. Pls help.
2026-03-25 11:17:17.1774437437
Reference request: Toric Varieties in reverse order
48 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ALGEBRAIC-GEOMETRY
- How to see line bundle on $\mathbb P^1$ intuitively?
- Jacobson radical = nilradical iff every open set of $\text{Spec}A$ contains a closed point.
- Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?
- An irreducible $k$-scheme of finite type is "geometrically equidimensional".
- Global section of line bundle of degree 0
- Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?
- Singular points of a curve
- Find Canonical equation of a Hyperbola
- Picard group of a fibration
- Finding a quartic with some prescribed multiplicities
Related Questions in REFERENCE-REQUEST
- Best book to study Lie group theory
- Alternative definition for characteristic foliation of a surface
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Random variables in integrals, how to analyze?
- Abstract Algebra Preparation
- Definition of matrix valued smooth function
- CLT for Martingales
- Almost locality of cubic spline interpolation
- Identify sequences from OEIS or the literature, or find examples of odd integers $n\geq 1$ satisfying these equations related to odd perfect numbers
- property of Lebesgue measure involving small intervals
Related Questions in ALGEBRAIC-GROUPS
- How do you prove that category of representations of $G_m$ is equivalent to the category of finite dimensional graded vector spaces?
- How to realize the character group as a Lie/algebraic/topological group?
- Action of Unipotent algebraic group
- From a compact topological group to a commutative Hopf algebra
- When do we have $C(G) \otimes C(G) =C(G\times G)?$
- What is the internal Hom object in the category $\mathcal{C} = \mathbf{Rep}_k(G)$?
- Is the product of simply connected algebraic groups simply connected?
- Connected subgroup of $(K^\times)^n$ of Zariski dimension 1
- Action of $ \mathbb{G}_m $ on $ \mathbb{A}^n $ by multiplication.
- Book recommendation for Hopf algebras
Related Questions in TORIC-VARIETIES
- (symmetric) generators for cohomology group of a del pezzo surface of degree 6
- When toric variety is affine?
- Why is the algebraic torus an affine variety?
- Questions related to a map tensored with $\mathbb R$
- Are proper toric varieties necessarily projective?
- Is smoothness required in order for this $\mathbb{F}_p$ point counting formula to hold?
- Irreducible varieties with easy computable class group
- Pullback of divisors in toric varieties
- Rational Normal Curve of degree d.
- Critical values of the evaluation map for rational curves in toric surface
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?