搜索结果: 1-8 共查到“代数几何学 Being Rational”相关记录8条 . 查询时间(0.321 秒)
Rational cubic fourfolds containing a plane with nontrivial Clifford invariant
Rational cubic fourfolds nontrivial Clifford invariant Algebraic Geometry
2012/5/9
We isolate a general class of smooth rational cubic fourfolds containing a plane whose associated quadric surface bundle does not have a rational section. Equivalently, the Brauer class of the even Cl...
On the classification of rational surface singularities
classification rational surface singularities Algebraic Geometry
2012/4/17
A general strategy is given for the classification of graphs of rational surface singularities. For each maximal rational double point configuration we investigate the possible multiplicities in the f...
Linear systems associated to unicuspidal rational plane curves
Linear systems associated unicuspidal rational plane curves
2012/2/29
A curve C in the projective plane is called non-negative if the self-intersection number of C after the minimal resolution of singularities of C is non-negative. Given a unicuspidal rational plane cur...
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) $...
Asymptotic behaviour of rational curves
Asymptotic behaviour rational curves Algebraic Geometry
2011/9/15
Abstract: We investigate the asympotic behaviour of the moduli space of morphisms from the rational curve to a given variety when the degree becomes large. One of the crucial tools is the homogeneous ...
On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds
Calabi-Yau threefold, rational curve, nef cone, rational points of cubic forms, Kobayashi's conjecture
2011/9/13
Abstract: Let X be a Calabi-Yau threefold. We show that if there exists on X a non-zero nef non-ample divisor then X contains a rational curve, provided its second Betti number is greater than 4.
Periods of rational maps modulo primes
p-adic dynamics Mordell-Lang conjecture Algebraic Geometry
2011/9/6
Abstract: Let $K$ be a number field, let $\phi \in K(t)$ be a rational map of degree at least 2, and let $\alpha, \beta \in K$. We show that if $\alpha$ is not in the forward orbit of $\beta$, then th...
Rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3
Rational curves supersingular K3 surface Artin invariant 1 Algebraic Geometry
2011/8/30
Abstract: We show the existence of 112 non-singular rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3 by several ways. Using these rational curves, we have a $...