4 citations · 8 across the 3 of their papers we have counts for
3 papers
math.NT2004★ 1 cited
Reduction of a problem of finiteness of Tate-Shafarevich group to a result of Zagier type
Dmitry Logachev
Kolyvagin proved that the Tate-Shafarevich group of an elliptic curve over Q of analytic rank 0 or 1 is finite, and that its algebraic rank is equal to its analytic rank. A program…
math.AG2004★ 4 cited
Fano threefolds of genus 6
Dmitry Logachev
This paper was written in 1982. Ideas and methods of "Clemens C.H., Griffiths Ph. The intermediate Jacobian of a cubic threefold" are applied to a Fano threefold X of genus 6 -- in…
math.AG2004★ 3 cited
Relations between conjectural eigenvalues of Hecke operators on submotives of Siegel varieties
Dmitry Logachev
There exist conjectural formulas on relations between -functions of submotives of Shimura varieties and automorphic representations of the corresponding reductive groups, due to…