منابع مشابه
ZARISKI k-PLETS VIA DESSINS D’ENFANTS
We construct exponentially large collections of pairwise distinct equisingular deformation families of irreducible plane curves sharing the same sets of singularities. The fundamental groups of all curves constructed are abelian.
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We develop a geometric approach to the study of plane sextics with a triple singular point. As an application, we give an explicit geometric description of all irreducible maximal sextics with a type E7 singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian.
متن کاملA Zariski topology for k-semirings
The prime k-spectrum Speck(R) of a k-semiring R will be introduced. It will be proven that it is a topological space, and some properties of this space will be investigated. Connections between the topological properties of Speck(R) and possible algebraic properties of the k-semiring R will be established.
متن کاملUniformizing Dessins and Bely I Maps via Circle Packing
Grothendieck's theory of Dessins d'Enfants involves combinatorially determined aane, reeective, and conformal structures on compact surfaces. In this paper the authors establish the rst general method for uniformizing these dessin surfaces and for approximating their associated Bely meromorphic functions. The paper begins by developing a discrete theory of dessins based on circle packing. This ...
متن کاملRelative Riemann - Zariski
Let k be an algebraically closed field andK be a finitely generated k-field. In the first half of the 20-th century, Zariski defined a Riemann variety RZK(k) associated to K as the projective limit of all projective k-models of K. Zariski showed that this topological space, which is now called a Riemann-Zariski (or Zariski-Riemann) space, possesses the following set-theoretic description: to gi...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2009
ISSN: 0010-2571
DOI: 10.4171/cmh/176