什么时候M0,n(∈1,1)是Mori梦空间?

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-06-24 DOI:10.1515/advgeom-2021-0019

C. Fontanari

引用次数: 1

摘要

当(n+3) ${{\bar{M}}_{0,n+3}}\; \text{of} \;(n+3)$点有理曲线的模空间M¯0,n(1,1) ${{\bar{M}}_{0,n}}\left( {{\mathbb{P}}^{1}},1 \right)$为时，n点稳定映射的模空间M¯0,n+3为Mori梦空间，且M¯0,n(1,1) ${{\bar{M}}_{0,n}}\left( {{\mathbb{P}}^{1}},1 \right)$为n≤5时的log Fano变化。

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When is M0,n(ℙ1,1) a Mori dream space?

Abstract The moduli space M¯0,n(ℙ1,1) ${{\bar{M}}_{0,n}}\left( {{\mathbb{P}}^{1}},1 \right)$of n-pointed stable maps is a Mori dream space whenever the moduli space M¯0,n+3 of (n+3) ${{\bar{M}}_{0,n+3}}\; \text{of} \;(n+3)$pointed rational curves is, and M¯0,n(ℙ1,1) ${{\bar{M}}_{0,n}}\left( {{\mathbb{P}}^{1}},1 \right)$is a log Fano variety for n ≤ 5.

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.