Quotient stack

Rational mapping

Rational normal scroll

Regular scheme

Relative cycle

{wiki=Relative_effective_Cartier_divisor}


Relative effective Cartier divisor

Residue field

Riemann–Roch-type theorem

Ruled join

Ruled variety

Scheme-theoretic intersection

Schubert calculus

Scorza variety

Secant variety

Semistable reduction theorem

Severi variety (Hilbert scheme)

Siegel modular variety

Smooth completion

Smooth topology

Spherical variety

{wiki=Algebraic_geometry}

Algebraic geometry is a branch of mathematics that studies the solutions to polynomial equations through the use of geometric methods. It combines concepts from abstract algebra, particularly commutative algebra, with geometric intuition. Here are some key aspects of algebraic geometry: 1. **Varieties**: The central objects of study in algebraic geometry are algebraic varieties, which are the solutions to systems of polynomial equations.


Algebraic geometry

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 Children: Algebraic geometry