The irreducibility of the space of curves of given genus

Σταθερή καμπύλη

Στην αλγεβρική γεωμετρία, μια σταθερή καμπύλη λέγεται μια αλγεβρική καμπύλη που είναι ασυμπτωτικά σταθερή με την έννοια της γεωμετρικής θεωρίας αναλλοίωτων.

叠 (数学)

叠（Stack）或2层（2-sheaf）是在范畴而非集合上取值的层. 叠用于形式化下降理论的一些主要构造，以及在不存在精细模空间时构造精细模叠.

K-stability

Semistable reduction theorem

In algebraic geometry, semistable reduction theorems state that, given a proper flat morphism are close to being Abelian varieties.

Algebraic variety

Conventions regarding the definition of an algebraic variety differ slightly. For example, some definitions require an algebraic variety to be irreducible, which means…

安定曲線

安定曲線（あんていきょくせん、）とは、代数幾何学の用語で、幾何学的不変式論の意味で漸近的に安定な代数曲線のことである。.

Không gian moduli

Trong toán học, đặc biệt là hình học đại số, một không gian mo-đu-li (hay không gian moduli) là một không gian hình học (thường là một lược đồ hoặc một chùm đại số) có các…

Riemann–Roch theorem

The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension of the…

Moduli space

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…

스택 (수학)

幾何学的不変式論

モジュライ空間

Moduli of algebraic curves

In algebraic geometry, a moduli space of (algebraic) curves is a geometric space (typically a scheme or an algebraic stack) whose points represent isomorphism classes of…

타이히뮐러 공간