Showing papers by "Shinichi Mochizuki published in 1995"
TL;DR: In this paper, the authors present a table of table of tables of this paper : Table of Table 1.3.1.1-3.2.0.1]
Abstract: Table of
110 citations
TL;DR: In this paper, it was shown that certain subquotients of the MF∇-objects of Faltings are semi-positive for semistable families of algebraic varieties.
Abstract: The purpose of this paper is to prove that certain subquotients of the MF∇-objects of Faltings ([1]) are semi-positive. In particular, we obtain an algebraic proof of a result (generalizing those of [5], [9]) on the semi-positivity of the higher direct images of certain kinds of sheaves for semistable families of algebraic varieties. Our Main Theorem, proven in §3, is as follows: Theorem 3.4: Let f : (X,E) → (S,D) be a semistable family of varieties of relative dimension d, with S a smooth, proper scheme over a field L of characteristic zero. Let (A,∇A, F i(A)) be a globally crystalline filtered vector bundle with connection on (X,E). Then for any nonnegative integer α, the coherent sheaf of OS-modules Rf∗(ωX/S ⊗OX (A/F 1(A))∨)
2 citations