13 citations · 46 across the 22 of their papers we have counts for
23 papers
Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids
Yoshinori Gongyo, Fumiharu Kato, Takayuki Uchiba
Let be a henselian pair such that is a domain of characteristic zero and . We prove that any flat affine henselian scheme of finite presentation over has…
Sharp bounds for the number of rational points on algebraic curves and dimension growth, over all global fields
Gal Binyamini, Raf Cluckers, Fumiharu Kato
Let be an algebraic curve over a number field , and denote by the degree of over . We prove that the number of -rational poin…
Rational points of rigid-analytic sets: a Pila-Wilkie type theorem
Gal Binyamini, Fumiharu Kato
We establish a rigid-analytic analog of the Pila-Wilkie counting theorem, giving sub-polynomial upper bounds for the number of rational points in the transcendental part of a $\mat…
Regular dessins with moduli fields of the form
Nicolas Daire, Fumiharu Kato, Yoshiaki Uchino
Gareth Jones asked during the 2014 SIGMAP conference for examples of regular dessins with nonabelian fields of moduli. In this paper, we first construct dessins whose moduli fields…
Integral morphisms and log blow-ups
Fumiharu Kato
This paper is a revision of the author's old preprint "Exactness, integrality, and log modifications". We will prove that any quasi-compact morphism of fs log schemes can be modifi…
Extremal quasimodular forms of lower depth with integral Fourier coefficients
Tsudoi Kaminaka, Fumiharu Kato
We show that, based on Grabner's recent results on modular differential equations satisfied by quasimodular forms, there exist only finitely many normalized extremal quasimodular f…