Deformations of Zappatic stable surfaces and their Galois covers
This paper considers some algebraic surfaces that can deform to planar Zappatic stable surfaces with a unique singularity of type En. We prove that the Galois covers of these surfaces are all simply connected of general type, for n >= 4, and we give a formula for Chern numbers of such Galois cove...
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| creator | Amram, Meirav Gong, Cheng Mo, JiaLi |
| description | This paper considers some algebraic surfaces that can deform to planar
Zappatic stable surfaces with a unique singularity of type En. We prove that
the Galois covers of these surfaces are all simply connected of general type,
for n >= 4, and we give a formula for Chern numbers of such Galois covers. As
an application, we prove that such surfaces do not exist for n>30. Furthermore,
Kollar improves the result to n>9 in Appendix 5. |
| doi_str_mv | 10.48550/arxiv.2402.06017 |
| format | Article |
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Zappatic stable surfaces with a unique singularity of type En. We prove that
the Galois covers of these surfaces are all simply connected of general type,
for n >= 4, and we give a formula for Chern numbers of such Galois covers. As
an application, we prove that such surfaces do not exist for n>30. Furthermore,
Kollar improves the result to n>9 in Appendix 5.</description><identifier>DOI: 10.48550/arxiv.2402.06017</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry</subject><creationdate>2024-02</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2402.06017$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2402.06017$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Amram, Meirav</creatorcontrib><creatorcontrib>Gong, Cheng</creatorcontrib><creatorcontrib>Mo, JiaLi</creatorcontrib><title>Deformations of Zappatic stable surfaces and their Galois covers</title><description>This paper considers some algebraic surfaces that can deform to planar
Zappatic stable surfaces with a unique singularity of type En. We prove that
the Galois covers of these surfaces are all simply connected of general type,
for n >= 4, and we give a formula for Chern numbers of such Galois covers. As
an application, we prove that such surfaces do not exist for n>30. Furthermore,
Kollar improves the result to n>9 in Appendix 5.</description><subject>Mathematics - Algebraic Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz71OwzAUBWAvDKjlAZjwCyS1Y6dOtqJCW6RILJ1Yomv7XmEprSM7reDt6Q_T0VmOzsfYsxSlbupaLCD9hHNZaVGVYimkeWSrN6SYDjCFeMw8Ev-Ccbw0x_MEdkCeT4nAYeZw9Hz6xpD4FoYYMnfxjCnP2QPBkPHpP2dsv3nfr3dF97n9WL92BSyNKeq2VdpqkhK9J4eNNxVZ5a2S_nKt0aigRZANSkLjvMAalCOw0lmF0KoZe7nP3gj9mMIB0m9_pfQ3ivoDhMdFew</recordid><startdate>20240208</startdate><enddate>20240208</enddate><creator>Amram, Meirav</creator><creator>Gong, Cheng</creator><creator>Mo, JiaLi</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240208</creationdate><title>Deformations of Zappatic stable surfaces and their Galois covers</title><author>Amram, Meirav ; Gong, Cheng ; Mo, JiaLi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a677-59934b4f11eddfce8d72fb3db31d48584e3a9ea18e1fe7cd0e5a3cfab1cb3ea93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Algebraic Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Amram, Meirav</creatorcontrib><creatorcontrib>Gong, Cheng</creatorcontrib><creatorcontrib>Mo, JiaLi</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Amram, Meirav</au><au>Gong, Cheng</au><au>Mo, JiaLi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deformations of Zappatic stable surfaces and their Galois covers</atitle><date>2024-02-08</date><risdate>2024</risdate><abstract>This paper considers some algebraic surfaces that can deform to planar
Zappatic stable surfaces with a unique singularity of type En. We prove that
the Galois covers of these surfaces are all simply connected of general type,
for n >= 4, and we give a formula for Chern numbers of such Galois covers. As
an application, we prove that such surfaces do not exist for n>30. Furthermore,
Kollar improves the result to n>9 in Appendix 5.</abstract><doi>10.48550/arxiv.2402.06017</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry |
| title | Deformations of Zappatic stable surfaces and their Galois covers |
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