The fine structure of Kontsevich-Zorich strata for genus 3

Eduard Looijenga; Gabriele Mondello

doi:10.48550/arXiv.1208.4279

The fine structure of Kontsevich-Zorich strata for genus 3

Eduard Looijenga
, Gabriele Mondello

Fundamental mathematics

Research output: Working paper › Preprint › Academic

Abstract

We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

Original language	English
Publisher	arXiv
Pages	1-22
DOIs	https://doi.org/10.48550/arXiv.1208.4279
Publication status	Published - 21 Aug 2012

Keywords

Mathematics - Algebraic Geometry
14H10

Access to Document

10.48550/arXiv.1208.4279

1208.4279Submitted manuscript, 285 KB

https://arxiv.org/abs/1208.4279

Cite this

@techreport{a773156b504b469cb465bf34f1af7a89,

title = "The fine structure of Kontsevich-Zorich strata for genus 3",

abstract = "We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.",

keywords = "Mathematics - Algebraic Geometry, 14H10",

author = "Eduard Looijenga and Gabriele Mondello",

year = "2012",

month = aug,

day = "21",

doi = "10.48550/arXiv.1208.4279",

language = "English",

pages = "1--22",

publisher = "arXiv",

type = "WorkingPaper",

institution = "arXiv",

}

TY - UNPB

T1 - The fine structure of Kontsevich-Zorich strata for genus 3

AU - Looijenga, Eduard

AU - Mondello, Gabriele

PY - 2012/8/21

Y1 - 2012/8/21

N2 - We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

AB - We give a description of the Kontsevich-Zorich strata for genus 3 in terms of root system data. For each non-open stratum we obtain a presentation of its orbifold fundamental group.

KW - Mathematics - Algebraic Geometry

KW - 14H10

UR - http://adsabs.harvard.edu/abs/2012arXiv1208.4279L

U2 - 10.48550/arXiv.1208.4279

DO - 10.48550/arXiv.1208.4279

M3 - Preprint

SP - 1

EP - 22

BT - The fine structure of Kontsevich-Zorich strata for genus 3

PB - arXiv

ER -

The fine structure of Kontsevich-Zorich strata for genus 3

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this