指数1的素数Fano三重上的有理曲线

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2018-08-16 DOI:10.1090/jag/751

Brian Lehmann, Sho Tanimoto

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引用次数: 17

摘要

我们研究了指数为1的素数Fano三重上有理曲线的模空间。对于大多数属的一般三重，我们计算这些模空间的不可约分量的维数和个数。我们的结果在这些例子中证实了几何Manin猜想，并证明了某些Gromov-Witten不变量的枚举性。

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Rational curves on prime Fano threefolds of index 1

We study the moduli spaces of rational curves on prime Fano threefolds of index 1. For general threefolds of most genera we compute the dimension and the number of irreducible components of these moduli spaces. Our results confirm Geometric Manin’s Conjecture in these examples and show the enumerativity of certain Gromov-Witten invariants.

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.