Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

Yuri G. Zarhin

doi:10.1007/s40879-015-0048-2

Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

Yuri G. Zarhin

Mathematics

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

4 Scopus citations

Abstract

We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the monodromy of corresponding hyperelliptic jacobians.

Original language	English (US)
Pages (from-to)	360-381
Number of pages	22
Journal	European Journal of Mathematics
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/s40879-015-0048-2
State	Published - Mar 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s40879-015-0048-2

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title = "Galois groups of Mori trinomials and hyperelliptic curves with big monodromy",

abstract = "We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the monodromy of corresponding hyperelliptic jacobians.",

author = "Zarhin, \{Yuri G.\}",

note = "Funding Information: This work was partially supported by a grant from the Simons Foundation (\# 246625 to Yuri Zarkhin). This work was started during author{\textquoteright}s stay at the Max-Planck-Institut f{\"u}r Mathematik (Bonn, Germany) in September of 2013 and finished during the academic year 2013/2014 when the author was Erna and Jakob Michael Visiting Professor in the Department of Mathematics at the Weizmann Institute of Science (Rehovot, Israel): the hospitality and support of both Institutes are gratefully acknowledged. Publisher Copyright: {\textcopyright} 2015, Springer International Publishing AG.",

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doi = "10.1007/s40879-015-0048-2",

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AU - Zarhin, Yuri G.

N1 - Funding Information: This work was partially supported by a grant from the Simons Foundation (# 246625 to Yuri Zarkhin). This work was started during author’s stay at the Max-Planck-Institut für Mathematik (Bonn, Germany) in September of 2013 and finished during the academic year 2013/2014 when the author was Erna and Jakob Michael Visiting Professor in the Department of Mathematics at the Weizmann Institute of Science (Rehovot, Israel): the hospitality and support of both Institutes are gratefully acknowledged. Publisher Copyright: © 2015, Springer International Publishing AG.

PY - 2016/3/1

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N2 - We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the monodromy of corresponding hyperelliptic jacobians.

AB - We compute the Galois groups for a certain class of polynomials over the the field of rational numbers that was introduced by Shigefumi Mori and study the monodromy of corresponding hyperelliptic jacobians.

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DO - 10.1007/s40879-015-0048-2

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AN - SCOPUS:84958719717

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EP - 381

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 1

ER -

Galois groups of Mori trinomials and hyperelliptic curves with big monodromy

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