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	<title>Holomorphic on compact Riemann surface implies constant - Revision history</title>
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	<updated>2026-04-23T21:12:37Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://companal.subwiki.org/w/index.php?title=Holomorphic_on_compact_Riemann_surface_implies_constant&amp;diff=241&amp;oldid=prev</id>
		<title>Vipul: 1 revision</title>
		<link rel="alternate" type="text/html" href="https://companal.subwiki.org/w/index.php?title=Holomorphic_on_compact_Riemann_surface_implies_constant&amp;diff=241&amp;oldid=prev"/>
		<updated>2008-05-18T19:13:46Z</updated>

		<summary type="html">&lt;p&gt;1 revision&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:13, 18 May 2008&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Vipul</name></author>
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	<entry>
		<id>https://companal.subwiki.org/w/index.php?title=Holomorphic_on_compact_Riemann_surface_implies_constant&amp;diff=240&amp;oldid=prev</id>
		<title>Vipul: New page: ==Statement==  Any holomorphic function on a compact Riemann surface is constant.  ==Facts used==  * Analytic map of compact Riemann surfaces is surjective * &lt;math&gt;\mathbb{C}&lt;/...</title>
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		<updated>2008-05-03T22:05:13Z</updated>

		<summary type="html">&lt;p&gt;New page: ==Statement==  Any &lt;a href=&quot;/wiki/Holomorphic_function&quot; title=&quot;Holomorphic function&quot;&gt;holomorphic function&lt;/a&gt; on a &lt;a href=&quot;/wiki/Compact_Riemann_surface&quot; title=&quot;Compact Riemann surface&quot;&gt;compact Riemann surface&lt;/a&gt; is constant.  ==Facts used==  * &lt;a href=&quot;/w/index.php?title=Analytic_map_of_compact_Riemann_surfaces_is_surjective&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Analytic map of compact Riemann surfaces is surjective (page does not exist)&quot;&gt;Analytic map of compact Riemann surfaces is surjective&lt;/a&gt; * &amp;lt;math&amp;gt;\mathbb{C}&amp;lt;/...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Statement==&lt;br /&gt;
&lt;br /&gt;
Any [[holomorphic function]] on a [[compact Riemann surface]] is constant.&lt;br /&gt;
&lt;br /&gt;
==Facts used==&lt;br /&gt;
&lt;br /&gt;
* [[Analytic map of compact Riemann surfaces is surjective]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{C}&amp;lt;/math&amp;gt; is non-compact.&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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