On the gonality of stable curves

On the gonality of stable curves

In this paper we use admissible covers to investigate the gonality of a stable curve C over C. If C is irreducible, we compare its gonality to that of its normalization. If C is reducible, we compare its gonality to that of its irreducible components. In both cases we obtain lower and upper bounds....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Mathematische Nachrichten 2019-11, Vol.292 (11), p.2338-2351
Hauptverfasser: Coelho, Juliana, Sercio, Frederico
Format: Artikel
Sprache:eng
Schlagworte:
14H10
14H51
admissible covers
Closures
gonality
Hurwitz schemes
stable curves
Upper bounds
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 2351
container_issue 11
container_start_page 2338
container_title Mathematische Nachrichten
container_volume 292
creator Coelho, Juliana
Sercio, Frederico
description In this paper we use admissible covers to investigate the gonality of a stable curve C over C. If C is irreducible, we compare its gonality to that of its normalization. If C is reducible, we compare its gonality to that of its irreducible components. In both cases we obtain lower and upper bounds. Furthermore, we show that four admissible covers constructed give rise to generically injective maps between Hurwitz schemes. We show that the closures of the images of three of these maps are components of the boundary of the target Hurwitz schemes, and the closure of the image of the remaining map is a component of a certain codimension‐1 subscheme of the boundary of the target Hurwitz scheme.
doi_str_mv 10.1002/mana.201600376
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2311479893</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2311479893</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3176-363a5bab6e92fc428ef94491c6e12c7f2d26815c01d6cbcc81a4618c71bdec6d3</originalsourceid><addsrcrecordid>eNqFkM1LxDAQR4MoWFevngueu2aSdtIcy-IXrO5FwVtI00S7dNs1aZX-93ap6NHTXN77MTxCLoEugVJ2vdOtXjIKSCkXeEQiyBhLGAIek2gCsiTL09dTchbCllIqpcCIxJs27t9t_Na1uqn7Me5cHHpdNjY2g_-04ZycON0Ee_FzF-Tl9uZ5dZ-sN3cPq2KdGA4CE45cZ6Uu0UrmTMpy62SaSjBogRnhWMUwh8xQqNCUxuSgU4TcCCgra7DiC3I17-599zHY0KttN_jpqaAYB0iFzCWfqOVMGd-F4K1Te1_vtB8VUHWooA4V1G-FSZCz8FU3dvyHVo_FU_HnfgPP119J</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2311479893</pqid></control><display><type>article</type><title>On the gonality of stable curves</title><source>Wiley Online Library Journals Frontfile Complete</source><creator>Coelho, Juliana ; Sercio, Frederico</creator><creatorcontrib>Coelho, Juliana ; Sercio, Frederico</creatorcontrib><description>In this paper we use admissible covers to investigate the gonality of a stable curve C over C. If C is irreducible, we compare its gonality to that of its normalization. If C is reducible, we compare its gonality to that of its irreducible components. In both cases we obtain lower and upper bounds. Furthermore, we show that four admissible covers constructed give rise to generically injective maps between Hurwitz schemes. We show that the closures of the images of three of these maps are components of the boundary of the target Hurwitz schemes, and the closure of the image of the remaining map is a component of a certain codimension‐1 subscheme of the boundary of the target Hurwitz scheme.</description><identifier>ISSN: 0025-584X</identifier><identifier>EISSN: 1522-2616</identifier><identifier>DOI: 10.1002/mana.201600376</identifier><language>eng</language><publisher>Weinheim: Wiley Subscription Services, Inc</publisher><subject>14H10 ; 14H51 ; admissible covers ; Closures ; gonality ; Hurwitz schemes ; stable curves ; Upper bounds</subject><ispartof>Mathematische Nachrichten, 2019-11, Vol.292 (11), p.2338-2351</ispartof><rights>2019 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3176-363a5bab6e92fc428ef94491c6e12c7f2d26815c01d6cbcc81a4618c71bdec6d3</citedby><cites>FETCH-LOGICAL-c3176-363a5bab6e92fc428ef94491c6e12c7f2d26815c01d6cbcc81a4618c71bdec6d3</cites><orcidid>0000-0003-1658-7187</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fmana.201600376$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fmana.201600376$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Coelho, Juliana</creatorcontrib><creatorcontrib>Sercio, Frederico</creatorcontrib><title>On the gonality of stable curves</title><title>Mathematische Nachrichten</title><description>In this paper we use admissible covers to investigate the gonality of a stable curve C over C. If C is irreducible, we compare its gonality to that of its normalization. If C is reducible, we compare its gonality to that of its irreducible components. In both cases we obtain lower and upper bounds. Furthermore, we show that four admissible covers constructed give rise to generically injective maps between Hurwitz schemes. We show that the closures of the images of three of these maps are components of the boundary of the target Hurwitz schemes, and the closure of the image of the remaining map is a component of a certain codimension‐1 subscheme of the boundary of the target Hurwitz scheme.</description><subject>14H10</subject><subject>14H51</subject><subject>admissible covers</subject><subject>Closures</subject><subject>gonality</subject><subject>Hurwitz schemes</subject><subject>stable curves</subject><subject>Upper bounds</subject><issn>0025-584X</issn><issn>1522-2616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFkM1LxDAQR4MoWFevngueu2aSdtIcy-IXrO5FwVtI00S7dNs1aZX-93ap6NHTXN77MTxCLoEugVJ2vdOtXjIKSCkXeEQiyBhLGAIek2gCsiTL09dTchbCllIqpcCIxJs27t9t_Na1uqn7Me5cHHpdNjY2g_-04ZycON0Ee_FzF-Tl9uZ5dZ-sN3cPq2KdGA4CE45cZ6Uu0UrmTMpy62SaSjBogRnhWMUwh8xQqNCUxuSgU4TcCCgra7DiC3I17-599zHY0KttN_jpqaAYB0iFzCWfqOVMGd-F4K1Te1_vtB8VUHWooA4V1G-FSZCz8FU3dvyHVo_FU_HnfgPP119J</recordid><startdate>201911</startdate><enddate>201911</enddate><creator>Coelho, Juliana</creator><creator>Sercio, Frederico</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-1658-7187</orcidid></search><sort><creationdate>201911</creationdate><title>On the gonality of stable curves</title><author>Coelho, Juliana ; Sercio, Frederico</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3176-363a5bab6e92fc428ef94491c6e12c7f2d26815c01d6cbcc81a4618c71bdec6d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>14H10</topic><topic>14H51</topic><topic>admissible covers</topic><topic>Closures</topic><topic>gonality</topic><topic>Hurwitz schemes</topic><topic>stable curves</topic><topic>Upper bounds</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Coelho, Juliana</creatorcontrib><creatorcontrib>Sercio, Frederico</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematische Nachrichten</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Coelho, Juliana</au><au>Sercio, Frederico</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the gonality of stable curves</atitle><jtitle>Mathematische Nachrichten</jtitle><date>2019-11</date><risdate>2019</risdate><volume>292</volume><issue>11</issue><spage>2338</spage><epage>2351</epage><pages>2338-2351</pages><issn>0025-584X</issn><eissn>1522-2616</eissn><abstract>In this paper we use admissible covers to investigate the gonality of a stable curve C over C. If C is irreducible, we compare its gonality to that of its normalization. If C is reducible, we compare its gonality to that of its irreducible components. In both cases we obtain lower and upper bounds. Furthermore, we show that four admissible covers constructed give rise to generically injective maps between Hurwitz schemes. We show that the closures of the images of three of these maps are components of the boundary of the target Hurwitz schemes, and the closure of the image of the remaining map is a component of a certain codimension‐1 subscheme of the boundary of the target Hurwitz scheme.</abstract><cop>Weinheim</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/mana.201600376</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0003-1658-7187</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0025-584X
ispartof Mathematische Nachrichten, 2019-11, Vol.292 (11), p.2338-2351
issn 0025-584X
1522-2616
language eng
recordid cdi_proquest_journals_2311479893
source Wiley Online Library Journals Frontfile Complete
subjects 14H10
14H51
admissible covers
Closures
gonality
Hurwitz schemes
stable curves
Upper bounds
title On the gonality of stable curves
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-31T19%3A19%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20gonality%20of%20stable%20curves&rft.jtitle=Mathematische%20Nachrichten&rft.au=Coelho,%20Juliana&rft.date=2019-11&rft.volume=292&rft.issue=11&rft.spage=2338&rft.epage=2351&rft.pages=2338-2351&rft.issn=0025-584X&rft.eissn=1522-2616&rft_id=info:doi/10.1002/mana.201600376&rft_dat=%3Cproquest_cross%3E2311479893%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2311479893&rft_id=info:pmid/&rfr_iscdi=true