منابع مشابه
Amoebas of Genus at Most One
The amoeba of a Laurent polynomial f ∈ C[z 1 , . . . , z n ] is the image of its zero set V(f) under the log-absolute-value map. Understanding the space of amoebas (i.e., the decomposition of the space of all polynomials, say, with given support or Newton polytope, with regard to the existing complement components) is a widely open problem. In this paper we investigate the class of polynomials ...
متن کاملShimura curves of genus at most two
We enumerate all Shimura curves XD 0 (N) of genus at most two: there are exactly 858 such curves, up to equivalence. The elliptic modular curve X0(N) is the quotient of the completed upper halfplane H∗ by the congruence subgroup Γ0(N) of matrices in SL2(Z) that are upper triangular modulo N ∈ Z>0. The curve X0(N) forms a coarse moduli space for (generalized) elliptic curves equipped with a cycl...
متن کاملThree-manifolds with Heegaard genus at most two represented by crystallisations with at most 42 vertices
It is known that every closed compact orientable 3-manifold M can be represented by a 4-edge-coloured 4-valent graph called a crystallisation of M. Casali and Grasselli proved that 3-manifolds of Heegaard genus g can be represented by crystallisations with a very simple structure which can be described by a 2(g +1)-tuple of non-negative integers. The sum of first g +1 integers is called complex...
متن کاملPrimitive Monodromy Groups of Genus at most Two
Let X be a compact, connected Riemann surface of genus g, and let ρ : X → P (C) be a covering map of degree N . Then the monodromy group Mon(X, ρ) acts transitively on the fibre of a generic point. Such a group has genus g. We are concerned with the following question. Given an abstract finite group G and a non-negative integer g, does G arise as a monodromy group of genus g? The focus in the p...
متن کاملChern-Simons states at genus one
We present a rigorous analysis of the Schrödinger picture quantization for the SU(2) Chern-Simons theory on 3-manifold torus×line, with insertions of Wilson lines. The quantum states, defined as gauge covariant holomorphic functionals of smooth su(2)connections on the torus, are expressed by degree 2k theta-functions satisfying additional conditions. The conditions are obtained by splitting the...
متن کاملذخیره 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: Advances in Mathematics
سال: 2013
ISSN: 0001-8708
DOI: 10.1016/j.aim.2013.03.001