untitled
<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd> <responseDate>2018-01-15T15:37:48Z</responseDate> <request identifier=oai:HAL:hal-00551456v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00551456v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:UNDEFINED</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:INSMI</setSpec> <setSpec>collection:BNRMI</setSpec> <setSpec>collection:UNIV-AG</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>First vertices for generic Newton polygons, and $p$-cyclic coverings of the projective line</title> <creator>Blache, Régis</creator> <contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor> <identifier>hal-00551456</identifier> <identifier>https://hal.archives-ouvertes.fr/hal-00551456</identifier> <source>https://hal.archives-ouvertes.fr/hal-00551456</source> <source>2009</source> <identifier>ARXIV : 0912.2051</identifier> <relation>info:eu-repo/semantics/altIdentifier/arxiv/0912.2051</relation> <language>en</language> <subject lang=en>Character sums</subject> <subject lang=en>L-functions</subject> <subject lang=en>Newton polygons</subject> <subject lang=en>Artin-Schreier and hyperelliptic curves</subject> <subject>11L,14H</subject> <subject>[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]</subject> <subject>[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]</subject> <type>info:eu-repo/semantics/preprint</type> <type>Preprints, Working Papers, ...</type> <description lang=en>In this paper we compute the first vertex of a generic Newton polygon in some special cases, and the corresponding Hasse polynomial. This allows us to show the nonexistence of $p$-cyclic coverings of the projective line in characteristic $p$ with supersingular jacobian for some (infinite families of) genera.</description> <date>2009-12-10</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>