Syzygy divisors on Hurwitz spaces

Anand Deopurkar; Anand Patel

doi:10.1090/conm/703/14139

Syzygy divisors on Hurwitz spaces

Research output: Contribution to conference › Paper › peer-review

Abstract

We describe a sequence of effective divisors on the Hurwitz space Hd,g for d dividing g 1 and compute their cycle classes on a partial cornpactification. These divisors arise from vector bundles of syzygies canonically associated to a branched cover. We find that the cycle classes are all proportional to each other. These computations are motivated by the question of determining the effective cone and ultimately the birational type of H-d,H-g.

Original language	English
Pages	209-222pp
DOIs	https://doi.org/10.1090/conm/703/14139
Publication status	Published - 2018
Event	Higher Genus Curves in Mathematical Physics and Arithmetic Geometry - Seattle, USA Duration: 1 Jan 2018 → …

Conference

Conference	Higher Genus Curves in Mathematical Physics and Arithmetic Geometry
Period	1/01/18 → …
Other	January 8 2016

Access to Document

10.1090/conm/703/14139

Cite this

@conference{53723859cfa8465abf9cf2e37941fc0a,

title = "Syzygy divisors on Hurwitz spaces",

abstract = "We describe a sequence of effective divisors on the Hurwitz space Hd,g for d dividing g 1 and compute their cycle classes on a partial cornpactification. These divisors arise from vector bundles of syzygies canonically associated to a branched cover. We find that the cycle classes are all proportional to each other. These computations are motivated by the question of determining the effective cone and ultimately the birational type of H-d,H-g.",

author = "Anand Deopurkar and Anand Patel",

year = "2018",

doi = "10.1090/conm/703/14139",

language = "English",

pages = "209--222pp",

note = "Higher Genus Curves in Mathematical Physics and Arithmetic Geometry ; Conference date: 01-01-2018",

}

TY - CONF

T1 - Syzygy divisors on Hurwitz spaces

AU - Deopurkar, Anand

AU - Patel, Anand

PY - 2018

Y1 - 2018

N2 - We describe a sequence of effective divisors on the Hurwitz space Hd,g for d dividing g 1 and compute their cycle classes on a partial cornpactification. These divisors arise from vector bundles of syzygies canonically associated to a branched cover. We find that the cycle classes are all proportional to each other. These computations are motivated by the question of determining the effective cone and ultimately the birational type of H-d,H-g.

AB - We describe a sequence of effective divisors on the Hurwitz space Hd,g for d dividing g 1 and compute their cycle classes on a partial cornpactification. These divisors arise from vector bundles of syzygies canonically associated to a branched cover. We find that the cycle classes are all proportional to each other. These computations are motivated by the question of determining the effective cone and ultimately the birational type of H-d,H-g.

U2 - 10.1090/conm/703/14139

DO - 10.1090/conm/703/14139

M3 - Paper

SP - 209

EP - 222

T2 - Higher Genus Curves in Mathematical Physics and Arithmetic Geometry

Y2 - 1 January 2018

ER -

Syzygy divisors on Hurwitz spaces

Abstract

Conference

Access to Document

Fingerprint

Cite this