On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians
We give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. The advantage of our method is that it works in arbitrary characteristic.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/431098 |
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| _version_ | 1832550760399765504 |
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| author | Cristian Anghel Nicolae Buruiana |
| author_facet | Cristian Anghel Nicolae Buruiana |
| author_sort | Cristian Anghel |
| collection | DOAJ |
| description | We give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. The advantage of our method is
that it works in arbitrary characteristic. |
| format | Article |
| id | doaj-art-6b26a46ab3de47669eaec2d7fdb141df |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6b26a46ab3de47669eaec2d7fdb141df2025-02-03T06:05:57ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/431098431098On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of JacobiansCristian Anghel0Nicolae Buruiana1Department of Mathematics, Institute of Mathematics of the Romanian Academy, Calea Grivitei No. 21, 010702 Bucuresti, RomaniaDepartment of Mathematics, Institute of Mathematics of the Romanian Academy, Calea Grivitei No. 21, 010702 Bucuresti, RomaniaWe give a new proof for a theorem of Ziv Ran which generalizes some results of Matsusaka and Hoyt. These results provide criteria for an Abelian variety to be a Jacobian or a product of Jacobians. The advantage of our method is that it works in arbitrary characteristic.http://dx.doi.org/10.1155/2015/431098 |
| spellingShingle | Cristian Anghel Nicolae Buruiana On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians Journal of Mathematics |
| title | On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians |
| title_full | On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians |
| title_fullStr | On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians |
| title_full_unstemmed | On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians |
| title_short | On a Theorem of Ziv Ran concerning Abelian Varieties Which Are Product of Jacobians |
| title_sort | on a theorem of ziv ran concerning abelian varieties which are product of jacobians |
| url | http://dx.doi.org/10.1155/2015/431098 |
| work_keys_str_mv | AT cristiananghel onatheoremofzivranconcerningabelianvarietieswhichareproductofjacobians AT nicolaeburuiana onatheoremofzivranconcerningabelianvarietieswhichareproductofjacobians |