搜索结果: 1-7 共查到“数学 rational curves”相关记录7条 . 查询时间(0.078 秒)
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.
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 $...
We show that projective K3 surfaces with odd Picard rank contain infinitely many rational curves. Our proof extends the Bogomolov-Hassett-Tschinkel approach, i.e., uses moduli spaces of stable maps an...
Mori's program for the moduli space of pointed stable rational curves
Mori's program the moduli space
2010/11/22
We prove that, assuming the F-conjecture, the log canonical model of the pair $(\bar{M}_{0,n}, \sum a_i \psi_i)$ is the Hassett's moduli space of weighted pointed stable rational curves without any mo...
Gromov-Witten invariants and rational curves on Grassmannians
Gromov-Witten invariants rational curves on Grassmannians
2010/11/15
We study the enumerative significance of the s-pointed genus zero Gromov-Witten invariant on a homogeneous space X. For that, we give an interpretation in terms of rational curves on X.
Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
Cartan geometry holomorphic connection Calabi–Yau manifold rational curve
2010/12/14
We prove that if a Calabi–Yau manifold M admits a holomorphic Cartan geometry, then M is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on com...