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math.AG2020★ 8 cited
Kirchhoff's theorem for Prym varieties
Yoav Len, Dmitry Zakharov
We prove an analogue of Kirchhoff's matrix tree theorem for computing the volume of the tropical Prym variety for double covers of metric graphs. We interpret the formula in terms…
math.CO2020
Zeta functions of edge-free quotients of graphs
Dmitry Zakharov
We consider the Ihara zeta function and Artin-Ihara -function of the quotient graph of groups , where is a group acting on a finite graph with trivial…