Differentials of the 2nd kind on a product surface
This paper deals with the problems of representing an arbitrary double differential of the second kind, defined on a surface which is the topological product of two curves, in terms of the products of simple differentials of the second kind on the two curves. The curves are assumed to be non-singula...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000466 |
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| _version_ | 1832561404384641024 |
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| author | J. C. Wilson |
| author_facet | J. C. Wilson |
| author_sort | J. C. Wilson |
| collection | DOAJ |
| description | This paper deals with the problems of representing an arbitrary double differential of the second kind, defined on a surface which is the topological product of two curves, in terms of the products of simple differentials of the second kind on the two curves. The curves are assumed to be non-singular and irreducible in a complex projective 2-space. |
| format | Article |
| id | doaj-art-09b2f71f3f2c4485aa19c5f8112da354 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-09b2f71f3f2c4485aa19c5f8112da3542025-02-03T01:25:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012461562610.1155/S0161171279000466Differentials of the 2nd kind on a product surfaceJ. C. Wilson0Department of Mathematics, Southern Illinois University, Carbondale 62901, Illinois, USAThis paper deals with the problems of representing an arbitrary double differential of the second kind, defined on a surface which is the topological product of two curves, in terms of the products of simple differentials of the second kind on the two curves. The curves are assumed to be non-singular and irreducible in a complex projective 2-space.http://dx.doi.org/10.1155/S0161171279000466algebraic surfaceproduct surfacealgebraic curvesdouble differential of the second kindsimple differentials of the second kindAbelian differentialsgenusexterior productpolar curves resultant. |
| spellingShingle | J. C. Wilson Differentials of the 2nd kind on a product surface International Journal of Mathematics and Mathematical Sciences algebraic surface product surface algebraic curves double differential of the second kind simple differentials of the second kind Abelian differentials genus exterior product polar curves resultant. |
| title | Differentials of the 2nd kind on a product surface |
| title_full | Differentials of the 2nd kind on a product surface |
| title_fullStr | Differentials of the 2nd kind on a product surface |
| title_full_unstemmed | Differentials of the 2nd kind on a product surface |
| title_short | Differentials of the 2nd kind on a product surface |
| title_sort | differentials of the 2nd kind on a product surface |
| topic | algebraic surface product surface algebraic curves double differential of the second kind simple differentials of the second kind Abelian differentials genus exterior product polar curves resultant. |
| url | http://dx.doi.org/10.1155/S0161171279000466 |
| work_keys_str_mv | AT jcwilson differentialsofthe2ndkindonaproductsurface |