Add to ORKGThe category of abelian varieties over $\mathbb{F}_q$ is shown to be anti-equivalent to a category of $\mathbb{Z}$-lattices that are modules for a non-commutative pro-ring of endomorphisms of a suitably chosen direct system of abelian varieties over $\mathbb{F}_q$. On full subcategories cut out by a finite set $w$ of conjugacy classes of Weil $q$-numbers, the anti-equivalence is represented by what we call $w$-locally projective abelian varieties.Comment: 41 pages, revised version following advice by the refere
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
In this seminar we will prove one theorem: Theorem [HT] (T. Honda and J. Tate). Fix a finite field K...
We show that every finite abelian group $G$ occurs as the group of rational points of an ordinary ab...
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
In this note, we construct a closed model structure on the category of complexes of projective syste...
The Lenstra Treurfeest — A farewell conference, in honor of Hendrik W. Lenstra jr Berkeley, 21/22/...
We study the groups of rational points of abelian varieties defined over a finite field $ \mathbb{F}...
In this thesis we address the problem of developing effective algorithms to compute isomorphism clas...
In this thesis we address the problem of developing effective algorithms to compute isomorphism clas...
In this thesis we address the problem of developing effective algorithms to compute isomorphism clas...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
In this seminar we will prove one theorem: Theorem [HT] (T. Honda and J. Tate). Fix a finite field K...
We show that every finite abelian group $G$ occurs as the group of rational points of an ordinary ab...
We construct non-isogenous simple ordinary abelian varieties over an algebraic closure of a finite f...
In this note, we construct a closed model structure on the category of complexes of projective syste...
The Lenstra Treurfeest — A farewell conference, in honor of Hendrik W. Lenstra jr Berkeley, 21/22/...
We study the groups of rational points of abelian varieties defined over a finite field $ \mathbb{F}...
In this thesis we address the problem of developing effective algorithms to compute isomorphism clas...
In this thesis we address the problem of developing effective algorithms to compute isomorphism clas...
In this thesis we address the problem of developing effective algorithms to compute isomorphism clas...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...
We answer Mundici's problem number 3 (Mundici (2011) [37]): Is the category of locally finite MV-alg...