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math.NT2002★ 3 cited
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…
math.NT2002★ 1 cited
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…
math.NT2002★ 1 cited
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.…