3 citations · 8 across the 14 of their papers we have counts for
14 papers
Tau functions and KP solutions on families of algebraic curves
Takashi Ichikawa
Using abelian differentials and periods of the universal Mumford curve, we study the universal expression and asymptotic behavior of tau functions defined for stably degenerating f…
Iterated integrals and unipotent periods on families of marked elliptic curves
Takashi Ichikawa
We describe iterated integrals as unipotent periods on families of marked elliptic curves in terms of multiple zeta values and elliptic multiple zeta values.
Modular functors with infinite dimensional Hilbert spaces
Takashi Ichikawa
We introduce a notion of generalized modular functors with Hilbert spaces of infinite dimension in general, and show that a generalized modular functor with data of conformal dimen…
The universal Mumford curve, and its abelian differentials and periods in arithmetic formal geometry
Takashi Ichikawa
We construct the universal Mumford curve of given genus as a family of Mumford curves over the deformation space of degenerate curves in the category of arithmetic formal geometry.…
Periods of generalized Tate curves
Takashi Ichikawa
A generalized Tate curve is a universal family of curves with fixed genus and degeneration data which becomes Schottky uniformized Riemann surfaces and Mumford curves by specializi…
An explicit formula of the normalized Mumford form
Takashi Ichikawa
We give an explicit formula of the normalized Mumford form which expresses the second tautological line bundle by the Hodge line bundle defined on the moduli space of algebraic cur…