A compactification of the space of algebraic maps from ℙ1 to ℙn

Yi Hu; Jiayuan Lin; Yijun Shao

doi:10.4310/CAG.2011.v19.n1.a1

A compactification of the space of algebraic maps from ℙ¹ to ℙⁿ

Yi Hu, Jiayuan Lin, Yijun Shao

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We provide a natural smooth projective compactification of the space of algebraic maps from ℙ¹ to ℙⁿ by adding a divisor with simple normal crossings.

Original language	English (US)
Pages (from-to)	1-30
Number of pages	30
Journal	Communications in Analysis and Geometry
Volume	19
Issue number	1
DOIs	https://doi.org/10.4310/CAG.2011.v19.n1.a1
State	Published - Jan 2011

ASJC Scopus subject areas

Analysis
Statistics and Probability
Geometry and Topology
Statistics, Probability and Uncertainty

Access to Document

10.4310/CAG.2011.v19.n1.a1

Cite this

@article{70dc9afadd9649b7a9d731d46bbb199f,

title = "A compactification of the space of algebraic maps from ℙ1 to ℙn",

abstract = "We provide a natural smooth projective compactification of the space of algebraic maps from ℙ1 to ℙn by adding a divisor with simple normal crossings.",

author = "Yi Hu and Jiayuan Lin and Yijun Shao",

year = "2011",

month = jan,

doi = "10.4310/CAG.2011.v19.n1.a1",

language = "English (US)",

volume = "19",

pages = "1--30",

journal = "Communications in Analysis and Geometry",

issn = "1019-8385",

publisher = "International Press of Boston, Inc.",

number = "1",

}

TY - JOUR

T1 - A compactification of the space of algebraic maps from ℙ1 to ℙn

AU - Hu, Yi

AU - Lin, Jiayuan

AU - Shao, Yijun

PY - 2011/1

Y1 - 2011/1

N2 - We provide a natural smooth projective compactification of the space of algebraic maps from ℙ1 to ℙn by adding a divisor with simple normal crossings.

AB - We provide a natural smooth projective compactification of the space of algebraic maps from ℙ1 to ℙn by adding a divisor with simple normal crossings.

UR - http://www.scopus.com/inward/record.url?scp=79959448510&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79959448510&partnerID=8YFLogxK

U2 - 10.4310/CAG.2011.v19.n1.a1

DO - 10.4310/CAG.2011.v19.n1.a1

M3 - Article

AN - SCOPUS:79959448510

SN - 1019-8385

VL - 19

SP - 1

EP - 30

JO - Communications in Analysis and Geometry

JF - Communications in Analysis and Geometry

IS - 1

ER -

A compactification of the space of algebraic maps from ℙ¹ to ℙⁿ

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this