Detailed Instructions: In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).
Q: Context: Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics., An isomorphism class is a collection of mathematical objects isomorphic to each other., In mathematics, a polynomial is an expression consisting of variables (or indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. An example of a polynomial of a single indeterminate is . An example in three variables is ., In algebraic geometry , a moduli space is a geometric space ( usually a scheme or an algebraic stack ) whose points represent algebro - geometric objects of some fixed kind , or isomorphism classes of such objects . Such spaces frequently arise as solutions to classification problems : If one can show that a collection of interesting objects ( e.g. , the smooth algebraic curves of a fixed genus ) can be given the structure of a geometric space , then one can parametrize such objects by introducing coordinates on the resulting space . In this context , the term '' modulus '' is used synonymously with '' parameter '' ; moduli spaces were first understood as spaces of parameters rather than as spaces of objects ., Commutative algebra is the branch of algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include polynomial rings, rings of algebraic integers, including the ordinary integers formula_1, and "p"-adic integers., A mathematical object is an abstract object arising in mathematics. The concept is studied in philosophy of mathematics., Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros., Subject: moduli space, Relation: subclass_of, Options: (A) algebra (B) algebraic number (C) branch (D) geometry (E) integer (F) knowledge (G) mathematical object (H) mathematics (I) number (J) polynomial (K) quantity (L) single (M) structure (N) study
A:
mathematical object