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Caporaso and Harris derive recursive formulas counting nodal plane
curves of degree d and geometric genus g in the plane (through the appropriate number of xed
general points). We rephrase their ar...
Computing the Singularities of Rational Surfaces
Singularities of Rational Surfaces Algebraic Geometry
2011/9/21
Abstract: Given a rational projective parametrization $\cP(\ttt,\sss,\vvv)$ of a rational projective surface $\cS$ we present an algorithm such that, with the exception of a finite set (maybe empty) $...
Hyperelliptic $d$-osculating covers and rational surfaces
Hyperelliptic $d$-osculating covers rational surfaces
2010/11/19
Let $\mathbb{P}^1$ and $(X,q)$ denote, respectively, the projective line and a fixed elliptic curve marked at its origin, both defined over an algebraically closed field $\mathbb{K}$ of arbitrary cha...
Low Frequency Fields Driven by the Ergodic Magnetic Limiter at Rational Surfaces in Rotating Tokamak Plasmas
Low Frequency Fields the Ergodic Magnetic Limiter Rational Surfaces Rotating Tokamak Plasmas
2010/10/27
Low Frequency Fields Driven by the Ergodic Magnetic Limiter at Rational Surfaces in Rotating Tokamak Plasmas.
The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle ...