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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.
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Accepted
Are quaternion algebras from Witt's theorem endomorphism rings of vector bundles?
Let $S$ denote an indecomposable bundle over $C(a,b)$ of rank two and degree two. By the proof of Proposition 3.5 [2], $S \otimes \Omega^{1}$ corresponds to a nonsplit extension of $\mathcal{O}_{C(a, …
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Are quaternion algebras from Witt's theorem endomorphism rings of vector bundles?
Let $k$ be a field with char $k \neq 2$. For $a,b \in k^{\times}$, let $(a,b)$ denote the quaternion algebra with $i^2=a$ and $j^{2}=b$, and let $C(a,b)$ denote the projective plane conic given by $a …