https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Dominant_rational_mapDominant rational map - Revision history2026-07-17T13:27:52ZRevision history for this page on the wikiMediaWiki 1.41.2https://commalg.subwiki.org/w/index.php?title=Dominant_rational_map&diff=215&oldid=prevVipul: 1 revision2008-05-12T16:19:44Z<p>1 revision</p>
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</td></tr></table>Vipulhttps://commalg.subwiki.org/w/index.php?title=Dominant_rational_map&diff=214&oldid=prevVipul at 12:17, 20 August 20072007-08-20T12:17:09Z<p></p>
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==Definition==<br />
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Let <math>X</math> and <math>Y</math> be [[variety|varieties]] over a [[field]] <math>k</math>. A [[rational map]] from <math>X</math> to <math>Y</math> is said to be dominant if for some (and hence for every) pair <math>(U,\phi_U)</math> representing the rational map, the image of <math>U</math> under <math>\phi_U</math> is dense in <math>Y</math>.</div>Vipul