Rosenhain-Thomae formulae for higher genera hyperelliptic curves
Rosenhain's famous formula expresses the periods of first kind integrals of genus two hyperelliptic curves in terms of $\theta$-constants. In this paper we generalize the Rosenhain formula to higher genera hyperelliptic curves by means of the second Thomae formula for derivated non-singular $\t...
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| creator | Eilers, Keno |
| description | Rosenhain's famous formula expresses the periods of first kind integrals of
genus two hyperelliptic curves in terms of $\theta$-constants. In this paper we
generalize the Rosenhain formula to higher genera hyperelliptic curves by means
of the second Thomae formula for derivated non-singular $\theta$-constants. |
| doi_str_mv | 10.48550/arxiv.1707.08855 |
| format | Article |
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genus two hyperelliptic curves in terms of $\theta$-constants. In this paper we
generalize the Rosenhain formula to higher genera hyperelliptic curves by means
of the second Thomae formula for derivated non-singular $\theta$-constants.</description><identifier>DOI: 10.48550/arxiv.1707.08855</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry</subject><creationdate>2017-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1707.08855$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1707.08855$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Eilers, Keno</creatorcontrib><title>Rosenhain-Thomae formulae for higher genera hyperelliptic curves</title><description>Rosenhain's famous formula expresses the periods of first kind integrals of
genus two hyperelliptic curves in terms of $\theta$-constants. In this paper we
generalize the Rosenhain formula to higher genera hyperelliptic curves by means
of the second Thomae formula for derivated non-singular $\theta$-constants.</description><subject>Mathematics - Algebraic Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz81KxDAUBeBsXMjoA7gyL9Ca5CZNs1MG_2BAkO7LbXozCfSP1Bmct1dnXJ3DWRz4GLuTotS1MeIB83c6ltIKW4r6d7lmj5_zSlPENBVNnEckHuY8HoZL4THtI2W-p4ky8nhaKNMwpOUree4P-UjrDbsKOKx0-58b1rw8N9u3Yvfx-r592hVYWVMY8FYKH8A5Kb0lpVyPJhileu8RpAhQ9RY6qVXnHNZBBxFq0iA7sH2lYcPuL7dnQrvkNGI-tX-U9kyBH2w_RDo</recordid><startdate>20170727</startdate><enddate>20170727</enddate><creator>Eilers, Keno</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20170727</creationdate><title>Rosenhain-Thomae formulae for higher genera hyperelliptic curves</title><author>Eilers, Keno</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a675-53c710cf39911c7e229da5f522dcca310f36d73b142b99a8f4f0f8e431b37d643</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Algebraic Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Eilers, Keno</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Eilers, Keno</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rosenhain-Thomae formulae for higher genera hyperelliptic curves</atitle><date>2017-07-27</date><risdate>2017</risdate><abstract>Rosenhain's famous formula expresses the periods of first kind integrals of
genus two hyperelliptic curves in terms of $\theta$-constants. In this paper we
generalize the Rosenhain formula to higher genera hyperelliptic curves by means
of the second Thomae formula for derivated non-singular $\theta$-constants.</abstract><doi>10.48550/arxiv.1707.08855</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry |
| title | Rosenhain-Thomae formulae for higher genera hyperelliptic curves |
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