3 citations · 5 across the 5 of their papers we have counts for
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On the Manin-Mumford conjecture for abelian varieties with a prime of supersingular reduction
Tetsushi Ito
We give a short proof of the "prime-to- version" of the Manin-Mumford conjecture for an abelian variety over a number field, when it has supersingular reduction at a prime divid…
Weight-monodromy conjecture over equal characteristic local fields
Tetsushi Ito
The aim of this paper is to study certain properties of the weight spectral sequences of Rapoport-Zink by a specialization argument. By reducing to the case over finite fields prev…
Weight-monodromy conjecture for certain threefolds in mixed characteristic
Tetsushi Ito
The weight-monodromy conjecture claims the coincidence of the weight filtration and the monodromy filtration, up to shift, on the -adic étale cohomology of a proper smooth varie…
Stringy Hodge numbers and p-adic Hodge theory
Tetsushi Ito
The aim of this paper is to give an application of p-adic Hodge theory to stringy Hodge numbers introduced by V. Batyrev for a mathematical formulation of mirror symmetry. Since th…
Birational smooth minimal models have equal Hodge numbers in all dimensions
Tetsushi Ito
This is a resume of the author's talk at the Worhshop on Arithmetic, Geometry and Physics around Calabi-Yau Varieties and Mirror Symmetry (July 23-29, 2001), the Fields Institute.…