Join operation and A-finite map-germs
Abstract In this work we define some map-germs, called elementary joins, for the purpose of producing new ${\mathcal A}$-finite map-germs from them. In particular, we describe a general form of an ${\mathcal A}$-finite monomial map from $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{p},0)$ for $p\geq 2n$ of an...
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| Veröffentlicht in: | Quarterly journal of mathematics 2023-12, Vol.74 (4), p.1415-1434 |
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| container_title | Quarterly journal of mathematics |
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| creator | Rodrigues Hernandes, M E Ruas, M A S |
| description | Abstract
In this work we define some map-germs, called elementary joins, for the purpose of producing new ${\mathcal A}$-finite map-germs from them. In particular, we describe a general form of an ${\mathcal A}$-finite monomial map from $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{p},0)$ for $p\geq 2n$ of any corank in terms of elementary join maps. Our main tools are the delta invariant and some invariants of curves. |
| doi_str_mv | 10.1093/qmath/haad026 |
| format | Article |
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In this work we define some map-germs, called elementary joins, for the purpose of producing new ${\mathcal A}$-finite map-germs from them. In particular, we describe a general form of an ${\mathcal A}$-finite monomial map from $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{p},0)$ for $p\geq 2n$ of any corank in terms of elementary join maps. Our main tools are the delta invariant and some invariants of curves.</description><issn>0033-5606</issn><issn>1464-3847</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNqFj7lOAzEURS0EEkOgpJ8K0Zg8754yilgViQbqkTPzHjFiFuyh4G_4Fr4MQtJT3eIeHekwdi7gSkCl5u9dmDbzTQgtSHvACqGt5sprd8gKAKW4sWCP2UnOrwDCau8KdvEwxL4cRkxhikNfhr79_lpwin2csOzCyF8wdfmUHVF4y3i23xl7vrl-Wt7x1ePt_XKx4o2UduKNDY6ocqIFAkCJzko0CB6BsDEapfFrknb7isYItSYNWHnhKbSVIzVjfOdt0pBzQqrHFLuQPmsB9Tay_ous95G__OWOHz7Gf9AfiQVU7g</recordid><startdate>20231211</startdate><enddate>20231211</enddate><creator>Rodrigues Hernandes, M E</creator><creator>Ruas, M A S</creator><general>Oxford University Press</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20231211</creationdate><title>Join operation and A-finite map-germs</title><author>Rodrigues Hernandes, M E ; Ruas, M A S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c226t-c6a7ff971d0f00e2e762e5e08e0fec54e258bf260f001c513bf40e9818fad97f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rodrigues Hernandes, M E</creatorcontrib><creatorcontrib>Ruas, M A S</creatorcontrib><collection>CrossRef</collection><jtitle>Quarterly journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rodrigues Hernandes, M E</au><au>Ruas, M A S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Join operation and A-finite map-germs</atitle><jtitle>Quarterly journal of mathematics</jtitle><date>2023-12-11</date><risdate>2023</risdate><volume>74</volume><issue>4</issue><spage>1415</spage><epage>1434</epage><pages>1415-1434</pages><issn>0033-5606</issn><eissn>1464-3847</eissn><abstract>Abstract
In this work we define some map-germs, called elementary joins, for the purpose of producing new ${\mathcal A}$-finite map-germs from them. In particular, we describe a general form of an ${\mathcal A}$-finite monomial map from $(\mathbb{C}^n,0)$ to $(\mathbb{C}^{p},0)$ for $p\geq 2n$ of any corank in terms of elementary join maps. Our main tools are the delta invariant and some invariants of curves.</abstract><cop>UK</cop><pub>Oxford University Press</pub><doi>10.1093/qmath/haad026</doi><tpages>20</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0033-5606 |
| ispartof | Quarterly journal of mathematics, 2023-12, Vol.74 (4), p.1415-1434 |
| issn | 0033-5606 1464-3847 |
| language | eng |
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| source | Oxford University Press Journals All Titles (1996-Current) |
| title | Join operation and A-finite map-germs |
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