<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Sur les repr\&#39;esentations du groupe fondamental d&#39;une vari\&#39;et\&#39;e priv\&#39;ee d&#39;un diviseur \`a croisements normaux simples</dc:title>
<dc:creator>Niels Borne</dc:creator>
<dc:subject>14F05</dc:subject><dc:subject>14F35</dc:subject><dc:subject>parabolic sheaf</dc:subject><dc:subject>fundamental group scheme</dc:subject>
<dc:description>Given a projective variety $X$ over an algebraically closed field $k$, we investigate the properties of parabolic bundles along a fixed simple normal crossings divisor $D$. We show in particular that, if $k$ is of characteristic zero, finite parabolic bundles are in one to one correspondence with representations of the \textit{\&#39;etale} fundamental group of $X-D$. This fact is used to define a fundamental group scheme, following Nori&#39;s ideas, in this setup.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2009</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2009.58.3734</dc:identifier>
<dc:source>10.1512/iumj.2009.58.3734</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 58 (2009) 137 - 180</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>