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Results tagged with abelian-varieties
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user 98885
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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Translation morphism of abelian variety
I am new to study of abelian varieties. But I need it in my work. Let $X$ be a ppav, say a Jacobian of a genus 2 curve. Let $L$ be a very ample line bundle on $X$.
The set $K(L)=\{x\in X : T_x^* L\s …
- 179
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Base locus of the Eigen spaces of global sections of totally symmetric line bundle
Let $X$ be an abelian surface over complex numbers. Let $L$ be a totally symmetric line bundle of type $(r,r)$ for $r\geq 2$.
The involution $i$ on $X$ gives an action on $H=H^0(X,L)$ thus giving a …
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