3 papers
math.AG2026
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…
math.AG2026
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…
math.NT2026
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…