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Radical parametrization of algebraic curves and surfaces

, 2013
David Sevilla, Juan Rafael Sendra Pons
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Algebraic Curves and Surfaces

2023
This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfaces (also with a view to higher dimensional varieties) from different aspects: the historical development that led to the theory of algebraic surfaces ...
Busé, Laurent, Catanese, Fabrizio, Postinghel, Elisa   +2 more
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Algebras on Surfaces

MATHEMATICA SCANDINAVICA, 2015
The first part of the paper is devoted to algebras on one-dimensional varieties in $\mathsf{C}^n$ that are bounded by finite unions of mutually disjoint rectifiable simple closed curves. The relevant Shilov boundaries are considered, and certain nonapproximation phenomena are exhibited.
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Algebraic point set surfaces

ACM Transactions on Graphics, 2007
In this paper we present a new Point Set Surface (PSS) definition based on moving least squares (MLS) fitting of algebraic spheres. Our surface representation can be expressed by either a projection procedure or in implicit form. The central advantages of our approach compared to existing planar MLS include significantly improved stability of the ...
Guennebaud, Gael, Gross, Markus
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Artin Characters for Algebraic Surfaces

American Journal of Mathematics, 1988
This paper concerns problems in the study of higher dimensional ramification. Let A be a regular local ring with maximal ideal \({\mathfrak m}_ A\) and let G be a finite group of automorphisms of A. For \(\sigma\in G\), let \(I_{\sigma}\) be the ideal of A generated by \(\{\) a- \(\sigma\) (a)\(| a\in A\}\). Assume that: \((1)\quad A^ G=\{a\in A| \quad
Kato, Kazuya, Saito, Shuji, Saito, Takeshi   +2 more
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INSEPARABLE MORPHISMS OF ALGEBRAIC SURFACES

Mathematics of the USSR-Izvestiya, 1976
We prove that no regular vector field exists on an algebraic K3 surface defined over an algebraically closed field of finite characteristic.Bibliography: 19 titles.
Rudakov, A. N., Shafarevich, I. R.
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Reduction of the Singularities of an Algebraic Surface

The Annals of Mathematics, 1935
Introduction. The reduction of the singularities of an algebraic surface has been carried out by B. Levi, Chisini, and Albanese.' These reductions are all of an essentially geometric nature, the first two using Cremona transformations of S3 while the last depends on the properties of linear systems of curves on the surface.
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T‐invariant algebras on Riemann surfaces

Mathematika, 1987
Let K be a compact subset of the complex plane, C(K) be the set of all continuous functions on K and R(K) be the algebra of functions in C(K) which are uniform limits of rational functions without poles on K. For \(\phi\) smooth and \(f\in C(K)\), define \[ (T_{\phi}f)(w)=\phi (w)f(w)+(2\pi i)^{-1}\iint _{K}f(z)(z-w)^{-1}(\partial \phi /\partial \bar z)
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