10 citations · 53 across the 24 of their papers we have counts for
25 papers
Absolute minimum of a height associated to a semipositive adelic line bundle
Shu Kawaguchi, Fabien Pazuki
There exists a semipositive adelic line bundle on a projective variety over whose absolute minimum does not attain the minimum by algebraic points. The construction is…
Weierstrass gap sequences and their weights on tropical curves
Omid Amini, Shu Kawaguchi
Given a divisor on a tropical curve, we associate to each point of the curve a Weierstrass gap sequence. We investigate structural properties of these gap sequences and explore the…
Infinite extensions with finitely many CM moduli
Shu Kawaguchi, Fabien Pazuki
We show that there are uncountably many algebraic extensions of containing at most finitely many moduli of CM simple principally polarized abelian varieties of any fix…
j-invariant and Borcherds Phi-function
Shu Kawaguchi, Shigeru Mukai, Ken-Ichi Yoshikawa
We give a formula that relates the difference of the j-invariants with the Borcherds Phi-function, an automorphic form on the period domain for Enriques surfaces characterizing the…
Heights and periodic points for one-parameter families of Hénon maps
Liang-Chung Hsia, Shu Kawaguchi
In this paper we study arithmetic properties of a one-parameter family of Hénon maps over the affine line. Given a family of initial points satisfying a…
Effective faithful tropicalizations associated to adjoint linear systems
Shu Kawaguchi, Kazuhiko Yamaki
Let be a complete discrete valuation ring of equi-characteristic zero with fractional field . Let be a connected, smooth projective variety of dimension over , an…