Lifting Artin–Schreier covers with maximal wild monodromy
Let k be an algebraically closed field of characteristic p > 0. We consider the problem of lifting p -cyclic covers of P k 1 as p -cyclic covers C of the projective line over some discrete valuation field K under the condition that the wild monodromy is maximal. We answer positively the problem f...
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| Veröffentlicht in: | Manuscripta mathematica 2014, Vol.143 (1-2), p.253-271 |
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| creator | Chrétien, P. |
| description | Let
k
be an algebraically closed field of characteristic
p
> 0. We consider the problem of lifting
p
-cyclic covers of
P
k
1
as
p
-cyclic covers
C
of the projective line over some discrete valuation field
K
under the condition that the wild monodromy is maximal. We answer positively the problem for covers birationally given by
w
p
−
w
=
t R
(
t
) for any additive polynomial
R
(
t
). One gives further informations about the ramification filtration of the monodromy extension and in the case when
p
= 2, one computes the conductor exponent
f
(Jac(
C
)/
K
) and the Swan conductor sw(Jac(
C
)/
K
). |
| doi_str_mv | 10.1007/s00229-013-0636-8 |
| format | Article |
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k
be an algebraically closed field of characteristic
p
> 0. We consider the problem of lifting
p
-cyclic covers of
P
k
1
as
p
-cyclic covers
C
of the projective line over some discrete valuation field
K
under the condition that the wild monodromy is maximal. We answer positively the problem for covers birationally given by
w
p
−
w
=
t R
(
t
) for any additive polynomial
R
(
t
). One gives further informations about the ramification filtration of the monodromy extension and in the case when
p
= 2, one computes the conductor exponent
f
(Jac(
C
)/
K
) and the Swan conductor sw(Jac(
C
)/
K
).</description><identifier>ISSN: 0025-2611</identifier><identifier>EISSN: 1432-1785</identifier><identifier>DOI: 10.1007/s00229-013-0636-8</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algebraic Geometry ; Calculus of Variations and Optimal Control; Optimization ; Geometry ; Lie Groups ; Mathematics ; Mathematics and Statistics ; Number Theory ; Topological Groups</subject><ispartof>Manuscripta mathematica, 2014, Vol.143 (1-2), p.253-271</ispartof><rights>Springer-Verlag Berlin Heidelberg 2013</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c274t-654a80328ac7a7799df91257895fcd96906f422cdc6fb05739289282d05738943</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00229-013-0636-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00229-013-0636-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,777,781,882,27905,27906,41469,42538,51300</link.rule.ids><backlink>$$Uhttps://hal.science/hal-01017418$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Chrétien, P.</creatorcontrib><title>Lifting Artin–Schreier covers with maximal wild monodromy</title><title>Manuscripta mathematica</title><addtitle>manuscripta math</addtitle><description>Let
k
be an algebraically closed field of characteristic
p
> 0. We consider the problem of lifting
p
-cyclic covers of
P
k
1
as
p
-cyclic covers
C
of the projective line over some discrete valuation field
K
under the condition that the wild monodromy is maximal. We answer positively the problem for covers birationally given by
w
p
−
w
=
t R
(
t
) for any additive polynomial
R
(
t
). One gives further informations about the ramification filtration of the monodromy extension and in the case when
p
= 2, one computes the conductor exponent
f
(Jac(
C
)/
K
) and the Swan conductor sw(Jac(
C
)/
K
).</description><subject>Algebraic Geometry</subject><subject>Calculus of Variations and Optimal Control; Optimization</subject><subject>Geometry</subject><subject>Lie Groups</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Number Theory</subject><subject>Topological Groups</subject><issn>0025-2611</issn><issn>1432-1785</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kM1KxDAUhYMoOI4-gLtuXURvkjY_uBoGdYSCC3UdYtpMO7SNJOPo7HwH39AnMaXiUgic5N7zXXIPQucELgmAuIoAlCoMhGHgjGN5gGYkZxQTIYtDNEvtAlNOyDE6iXEDkJqCzdB12bptO6yzRUjy_fn1aJtQt3XIrN_VIWbv7bbJevPR9qZLj67Kej_4Kvh-f4qOnOliffarc_R8e_O0XOHy4e5-uSixpSLfYl7kRgKj0lhhhFCqcorQQkhVOFsproC7nFJbWe5eoBBMUZkOrca7VDmbo4tpbmM6_RrST8Jee9Pq1aLUYw0IEJETuSPJSyavDT7GULs_gIAek9JTUolhekxKy8TQiYnJO6zroDf-LQxppX-gHyPyaj0</recordid><startdate>2014</startdate><enddate>2014</enddate><creator>Chrétien, P.</creator><general>Springer Berlin Heidelberg</general><general>Springer Verlag</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope></search><sort><creationdate>2014</creationdate><title>Lifting Artin–Schreier covers with maximal wild monodromy</title><author>Chrétien, P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c274t-654a80328ac7a7799df91257895fcd96906f422cdc6fb05739289282d05738943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Algebraic Geometry</topic><topic>Calculus of Variations and Optimal Control; Optimization</topic><topic>Geometry</topic><topic>Lie Groups</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Number Theory</topic><topic>Topological Groups</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chrétien, P.</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Manuscripta mathematica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chrétien, P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lifting Artin–Schreier covers with maximal wild monodromy</atitle><jtitle>Manuscripta mathematica</jtitle><stitle>manuscripta math</stitle><date>2014</date><risdate>2014</risdate><volume>143</volume><issue>1-2</issue><spage>253</spage><epage>271</epage><pages>253-271</pages><issn>0025-2611</issn><eissn>1432-1785</eissn><abstract>Let
k
be an algebraically closed field of characteristic
p
> 0. We consider the problem of lifting
p
-cyclic covers of
P
k
1
as
p
-cyclic covers
C
of the projective line over some discrete valuation field
K
under the condition that the wild monodromy is maximal. We answer positively the problem for covers birationally given by
w
p
−
w
=
t R
(
t
) for any additive polynomial
R
(
t
). One gives further informations about the ramification filtration of the monodromy extension and in the case when
p
= 2, one computes the conductor exponent
f
(Jac(
C
)/
K
) and the Swan conductor sw(Jac(
C
)/
K
).</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00229-013-0636-8</doi><tpages>19</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | Manuscripta mathematica, 2014, Vol.143 (1-2), p.253-271 |
| issn | 0025-2611 1432-1785 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01017418v1 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups |
| title | Lifting Artin–Schreier covers with maximal wild monodromy |
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