Yevgeny Zaytman

activity

20192022

collaborators

4 papers

math.NT2022

Isogeny complexes of superspecial abelian varieties

Bruce W. Jordan, Yevgeny Zaytman

We consider the structures formed by isogenies of abelian varieties with polarizations that are not necessarily principal, specifically with the $[ℓ]$ -polarizations we have prev…

math.NT2020

Quotient graphs and amalgam presentations for unitary groups over cyclotomic rings

Colin Ingalls, Bruce W. Jordan, Allan Keeton +2

Suppose $4∣ n$ , $n \geq 8$ , $F = F_{n} = Q (ζ_{n} + ζ ˉ_{n})$ , and there is one prime $p = p_{n}$ above $2$ in $F_{n}$ . We study amalgam presentations for $\operatornam…

math.NT2019

The Clifford-cyclotomic group and Euler-Poincaré characteristics

Colin J. Ingalls, Bruce W. Jordan, Allan Keeton +2

For an integer $n \geq 8$ divisible by $4$ , let $R_{n} = Z [ζ_{n}, 1/2]$ and let $U_{2} (R_{n})$ be the group of $2 \times 2$ unitary matrices with entries in $R_{n}$ . Set $…

math.NT2019

Integral points on varieties defined by matrix factorization into elementary matrices

Bruce W. Jordan, Yevgeny Zaytman

Let $O$ be the ring of $S$ -integers in a number field $K$ . For $A \in SL_{2} (O)$ and $k \geq 1$ , we define matrix-factorization varieties $V_{k} (A)$ over ${\ma…