… Formal properties. In this section, we summarize some general formal properties of locally
analytic representations of p-adic reductive groups. We fix a split p-adic reductive group H …

… We call it the finite part of ̂Ac with respect to the C∗-action, and denote (̂Ac) C*-fin. Now …
We regard X as a scheme of finite type over C. Then the arc space J∞ X is a scheme whose R…

… The first theorem is a generalization of Riemann-Roch theorem for D-modules. We
generalize the (algebraic) RiemannRoch theorem for D-modules of [16] to (analytic) ̂ …

… concept of strongly Ding projective modules with respect to a semidualizing module. The … ,
we study the properties of strongly Ding flat modules with respect to a semidualizing module. It …

These are notes for a talk to be given in the Summer School on Elliptic Curves (Trieste,
August 1997). Some aspects of the theory of elliptic Q-curves are discussed. We find the …

… of the correct global equivariance of local fields, we now specialize to two dimensions in
which case the group theory of the finite-dimensional conformal group simplifies. Adopting the …

… In this paper, we discuss properties of trace maps for formal groups over local field and their
… In this section we will carry out this generalization, which is crucial for the application to …

… For our purpose, the following generalization will be quite useful. … But the more general
concept of specializations introduced in this section, plays a crucial rule in the proof of Fujita's …

… surface X we need to choose not a point but a finite parameterized hole on X. Equivalently
one can choose (the germ of) a local complex coordinate z, and consider the loop (z = e", 0 < …

We define the topological free energy for string compactifications, which is relevant for the
discussion of perturbative as well as non-perturbative effects in string theory. This moduli-…