Irreducibility of analytic arc-sections of hypersurface singularities
We explore the existence of irreducible and reducible arc-sections in an irreducible hypersurface singularity germ along finite projections. In particular we provide examples of irreducible isolated hypersurface singularities for which no irreducible arc-sections exist, and show that reducible ones...
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| creator | Marco-Buzunariz, Miguel Angel Pereira, Maria Pe |
| description | We explore the existence of irreducible and reducible arc-sections in an
irreducible hypersurface singularity germ along finite projections.
In particular we provide examples of irreducible isolated hypersurface
singularities for which no irreducible arc-sections exist, and show that
reducible ones always exist. Moreover, we give an algorithm to check if a given
projection allows irreducible arc-sections, and find them if they exist. |
| doi_str_mv | 10.48550/arxiv.1904.00298 |
| format | Article |
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irreducible hypersurface singularity germ along finite projections.
In particular we provide examples of irreducible isolated hypersurface
singularities for which no irreducible arc-sections exist, and show that
reducible ones always exist. Moreover, we give an algorithm to check if a given
projection allows irreducible arc-sections, and find them if they exist.</description><identifier>DOI: 10.48550/arxiv.1904.00298</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry</subject><creationdate>2019-03</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/1904.00298$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1904.00298$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Marco-Buzunariz, Miguel Angel</creatorcontrib><creatorcontrib>Pereira, Maria Pe</creatorcontrib><title>Irreducibility of analytic arc-sections of hypersurface singularities</title><description>We explore the existence of irreducible and reducible arc-sections in an
irreducible hypersurface singularity germ along finite projections.
In particular we provide examples of irreducible isolated hypersurface
singularities for which no irreducible arc-sections exist, and show that
reducible ones always exist. Moreover, we give an algorithm to check if a given
projection allows irreducible arc-sections, and find them if they exist.</description><subject>Mathematics - Algebraic Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj0FOwzAQRb1hgQoHYEUukDCxHcdeoqpApUpsuo_GE5uOlKaVnSBye9rC6n_pSU96QjzVUGnbNPCC6Ye_q9qBrgCks_dis00p9DOx54GnpTjFAkcclompwERlDjTxacxXcFjOIeU5RaRQZB6_5gETTxzyg7iLOOTw-L8rsX_b7Ncf5e7zfbt-3ZVoWlv2Whlqe6AmOoitAbJY995oX1sXnbIoJUTpnW7NhQYTom8s4eUEp6RSK_H8p711dOfER0xLd-3pbj3qF2h7Rss</recordid><startdate>20190330</startdate><enddate>20190330</enddate><creator>Marco-Buzunariz, Miguel Angel</creator><creator>Pereira, Maria Pe</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190330</creationdate><title>Irreducibility of analytic arc-sections of hypersurface singularities</title><author>Marco-Buzunariz, Miguel Angel ; Pereira, Maria Pe</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-d436c7d0c5f90f760c8a1db64b189f938a220f2b9476760e6efb58cae6ee93233</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Algebraic Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Marco-Buzunariz, Miguel Angel</creatorcontrib><creatorcontrib>Pereira, Maria Pe</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Marco-Buzunariz, Miguel Angel</au><au>Pereira, Maria Pe</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Irreducibility of analytic arc-sections of hypersurface singularities</atitle><date>2019-03-30</date><risdate>2019</risdate><abstract>We explore the existence of irreducible and reducible arc-sections in an
irreducible hypersurface singularity germ along finite projections.
In particular we provide examples of irreducible isolated hypersurface
singularities for which no irreducible arc-sections exist, and show that
reducible ones always exist. Moreover, we give an algorithm to check if a given
projection allows irreducible arc-sections, and find them if they exist.</abstract><doi>10.48550/arxiv.1904.00298</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Algebraic Geometry |
| title | Irreducibility of analytic arc-sections of hypersurface singularities |
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