Family of curves with large unitary summand in the Hodge bundle

Xin Lu

doi:10.1007/s00209-018-2181-3

Family of curves with large unitary summand in the Hodge bundle

Xin Lu^*

^*Corresponding author for this work

School of Mathematical Sciences

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

5 Scopus citations

Abstract

In this note, we construct non-isotrivial families of curves of genus g≥ 2 , where the rank of the unitary summand contained in the Hodge bundle can be as large as (2 g+ 1) / 3 , and hence disprove Xiao’s conjecture for the unitary rank.

Original language	English
Pages (from-to)	1381-1387
Number of pages	7
Journal	Mathematische Zeitschrift
Volume	291
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-018-2181-3
State	Published - 1 Apr 2019

Keywords

Family
Unitary bundle
Xiao’s conjecture

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10.1007/s00209-018-2181-3

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title = "Family of curves with large unitary summand in the Hodge bundle",

abstract = "In this note, we construct non-isotrivial families of curves of genus g≥ 2 , where the rank of the unitary summand contained in the Hodge bundle can be as large as (2 g+ 1) / 3 , and hence disprove Xiao{\textquoteright}s conjecture for the unitary rank.",

keywords = "Family, Unitary bundle, Xiao{\textquoteright}s conjecture",

author = "Xin Lu",

note = "Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = apr,

day = "1",

doi = "10.1007/s00209-018-2181-3",

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AB - In this note, we construct non-isotrivial families of curves of genus g≥ 2 , where the rank of the unitary summand contained in the Hodge bundle can be as large as (2 g+ 1) / 3 , and hence disprove Xiao’s conjecture for the unitary rank.

KW - Family

KW - Unitary bundle

KW - Xiao’s conjecture

UR - https://www.scopus.com/pages/publications/85058052942

U2 - 10.1007/s00209-018-2181-3

DO - 10.1007/s00209-018-2181-3

M3 - 文章

AN - SCOPUS:85058052942

SN - 0025-5874

VL - 291

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EP - 1387

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

Family of curves with large unitary summand in the Hodge bundle

Abstract

Keywords

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