untitled
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<identifier>oai:HAL:hal-00551456v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<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>
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