DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Jeong-Seop | ko |
dc.date.accessioned | 2022-04-15T06:49:03Z | - |
dc.date.available | 2022-04-15T06:49:03Z | - |
dc.date.created | 2022-03-10 | - |
dc.date.created | 2022-03-10 | - |
dc.date.created | 2022-03-10 | - |
dc.date.issued | 2022-01 | - |
dc.identifier.citation | INTERNATIONAL JOURNAL OF MATHEMATICS, v.33, no.01 | - |
dc.identifier.issn | 0129-167X | - |
dc.identifier.uri | http://hdl.handle.net/10203/294808 | - |
dc.description.abstract | This paper treats the strict semi-stability of the symmetric powers (SE)-E-k of a stable vector bundle E of rank 2 with even degree on a smooth projective curve C of genus g >= 2. The strict semi-stability of (SE)-E-2 is equivalent to the orthogonality of E or the existence of a bisection on the ruled surface P-C(E) whose self-intersection number is zero. A relation between the two interpretations is investigated in this paper through elementary transformations. This paper also gives a classification of E with strictly semi-stable (SE)-E-3. Moreover, it is shown that when (SE)-E-2 is stable, every symmetric power (SE)-E-k is stable for all but a finite number of E in the moduli of stable vector bundles of rank 2 with fixed determinant of even degree on C. | - |
dc.language | English | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | Stability of symmetric powers of vector bundles of rank two with even degree on a curve | - |
dc.type | Article | - |
dc.identifier.wosid | 000754575900010 | - |
dc.identifier.scopusid | 2-s2.0-85120961881 | - |
dc.type.rims | ART | - |
dc.citation.volume | 33 | - |
dc.citation.issue | 01 | - |
dc.citation.publicationname | INTERNATIONAL JOURNAL OF MATHEMATICS | - |
dc.identifier.doi | 10.1142/S0129167X2250001X | - |
dc.contributor.localauthor | Kim, Jeong-Seop | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Stability | - |
dc.subject.keywordAuthor | vector bundle | - |
dc.subject.keywordAuthor | symmetric power | - |
dc.subject.keywordAuthor | ruled surface | - |
dc.subject.keywordAuthor | cone of curves | - |
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