Composite genus one Belyi maps

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Separated Belyi Maps

We construct Belyi maps having specified behavior at finitely many points. Specifically, for any curve C defined over Q, and any disjoint finite subsets S, T ⊂ C(Q), we construct a finite morphism φ : C → P such that φ ramifies at each point in S, the branch locus of φ is {0, 1,∞}, and φ(T ) ∩ {0, 1,∞} = ∅. This refines a result of Mochizuki’s. We also prove an analogous result over fields of p...

متن کامل

Noncritical Belyi Maps

רÖÖØº In the present paper, we present a slightly strengthened version of a well-known theorem of Belyi on the existence of " Belyi maps ". Roughly speaking, this strengthened version asserts that there exist Belyi maps which are unramified at [cf. Theorem 2.5] — or even near [cf. Corollary 3.2] — a prescribed finite set of points. Write C for the complex number field; Q ⊆ C for the subfield o...

متن کامل

Belyi-extending Maps and the Galois Action on Dessins D’enfants

We study the absolute Galois group by looking for invariants and orbits of its faithful action on Grothendieck’s dessins d’enfants. We define a class of functions called Belyi-extending maps, which we use to construct new Galois invariants of dessins from previously known invariants. Belyiextending maps are the source of the “new-type” relations on the injection of the absolute Galois group int...

متن کامل

A Sharp Compactness Theorem for Genus-One Pseudo-Holomorphic Maps

For each compact almost Kahler manifold (X,ω, J) and an element A of H2(X ;Z), we describe a natural closed subspace M 0 1,k(X,A; J) of the moduli space M1,k(X,A; J) of stable J-holomorphic genus-one maps such that M 0 1,k(X,A; J) contains all stable maps with smooth domains. If (P, ω, J0) is the standard complex projective space, M 0 1,k(P , A; J0) is an irreducible component of M1,k(P, A; J0)...

متن کامل

Genus-one Stable Maps, Local Equations, and Vakil-zinger’s Desingularization

We describe an algebro-geometric approach to Vakil-Zinger’s desingularization of the main component of the moduli of genus one stable maps to P [6, 7]. The new approach provides complete local structural results for this moduli space as well as for the desingularization of the entire moduli space and should fully extend to higher genera.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Indagationes Mathematicae

سال: 2018

ISSN: 0019-3577

DOI: 10.1016/j.indag.2018.02.001