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Results tagged with abelian-varieties
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user 504536
Abelian varieties are projective algebraic varieties endowed with an Abelian group structure. Over the complex numbers, they can be described as quotients of a vector space by a lattice of full rank. They are analogs in higher dimensions of elliptic curves, and play an important role in algebraic geometry and number theory.
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Does Albanese construction yield a morphism to moduli of abelian varieties?
Let $M_h$ be the (coarse) moduli space of polarized manifolds with Hilbert function $h$. I would like to know if the albanese $Alb(X)$ of a polarized manifold $X$ gives rise to a morphism $M_h\to A_{g …
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How can complex abelian varieties degenerate to tropical abelian varieties
There is a similar interesting question here
which has not been answered. I therefore ask this question in the hope to get an answer. I wonder how a family of complex abelian varieties can exactly deg …
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Complexification of Néron models of Abelian varieties
Let $A$ be an abelian variety of dimension $g$ over the quotient field $K$ of a DVR $R$ which is a subfield of the complex field $\mathbb{C}$. Then by a result of Grothendieck, we know that there is a …
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