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Big monodromy theorem for abelian varieties over finitely generated fields
| Content Provider | Semantic Scholar |
|---|---|
| Author | Arias-De-Reyna, Sara Gajda, Wojciech Petersen, Sebastian |
| Copyright Year | 2012 |
| Abstract | An abelian variety over a field K is said to have big monodromy, if the image of the Galois representation on l-torsion points, for almost all primes l contains the full symplectic group. We prove that all abelian varieties over a finitely generated field K with endomorphism ring Z and semistable reduction of toric dimension one at a place of the base field K have big monodromy. We make no assumption on the transcendence degree or on the characteristic of K. This generalizes a recent result of Chris Hall. |
| Starting Page | 218 |
| Ending Page | 229 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jpaa.2012.06.010 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1201.2335v1.pdf |
| Alternate Webpage(s) | https://idus.us.es/xmlui/bitstream/handle/11441/47408/Big%20monodromy%20theorem%20for%20abelian%20varieties%20over%20finitely%20generated%20fields.pdf?isAllowed=y&sequence=1 |
| Alternate Webpage(s) | http://orbilu.uni.lu/bitstream/10993/12231/1/ArGaPe2013.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jpaa.2012.06.010 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
