In mathematics, Belyi's theorem on algebraic curves states that any non-singular algebraic curve C, defined by algebraic number coefficients, represents...

which Riemann surfaces arise in this way. The answer is provided by Belyi's theorem, which states that the Riemann surfaces that can be described by dessins...

bundles) Belyi's theorem (algebraic geometry) Bertini's theorem (algebraic geometry) Bézout's theorem (algebraic geometry) Borel fixed-point theorem (algebraic...

Problems: Theorem 1.14". Families of varieties of general type (PDF). p. 11. Goldring, W. (2012). "Unifying themes suggested by Belyi's Theorem". Number...

ample examples of rational maps which are not birational. For example, Belyi's theorem states that every algebraic curve C {\displaystyle C} admits a map...

known for Belyi's theorem on the representation of algebraic curves as Riemann surfaces and for the Belyi functions arising in that theorem. Belyi was born...

Galois group of the rational numbers. In this case, it follows from Belyi's theorem that the absolute Galois group has a faithful action on the dessins...

Section conjecture Class field theory Fiber functor Neukirch–Uchida theorem Belyi's theorem Frobenioid Inter-universal Teichmüller theory p-adic Teichmüller...

The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose...

years, he worked on fluctuation-dissipative theorem for the case of an inhomogeneous plasma. In 2018 V. Belyi published an article in Scientific Reports...

dissertation, in number theory, was titled An Effective Version Of Belyi's Theorem and her doctoral advisor was Hendrik Lenstra. Khadjavi and Gizem Karaali...

better part of the 20th century. Manin–Drinfeld theorem Moduli stack of elliptic curves Modularity theorem Shimura variety, a generalization of modular curves...

pairs have the same inversive distance. An analogue of the Beckman–Quarles theorem holds true for the inversive distance: if a bijection of the set of circles...

geometry. In particular, in algebraic number theory, the Shafarevich–Weil theorem extends the commutative reciprocity map to the case of Galois groups, which...

including representation theory, homology theory, Fermat's Last Theorem, and the Stark–Heegner theorem on imaginary quadratic number fields of class number one;...

= ( c a ) m = 1. {\displaystyle (ab)^{l}=(bc)^{n}=(ca)^{m}=1.} It is a theorem that all other relations between a, b, c are consequences of these relations...

he extended Lavrent'ev's work on stability and differentiable function theorems, to more general classes of transformations. Suvorov introduced new methods...

Computational Complexity (First ed.). Wiley-Interscience. ISBN 0-471-83138-7. Theorem 4.8 Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation...

Loran coefficients. Milin's area theorem and coefficient estimates, as well as Milin’s functionals, Milin’s Tauberian theorem, Milin’s constant, Lebedev–Milin...