Moriwaki, Atsushi
- Arithmetic height functions over finitely generated fields
1998/09/04 by Atsushi Moriwaki, Moriwaki, Atsushi · 6 citations
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AG #math.NT #msc:11G10 #msc:11G35 #msc:14G25 #msc:14G40 #msc:14K15
- Arithmetic positivity on toric varieties
2012/10/29 by Gil, Jose Ignacio Burgos, Moriwaki, Atsushi, Philippon, Patrice +1 · 2 citations
#14M25 (Primary) 14G40 #52A41 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- Arakelov geometry over adelic curves
2019/03/26 by Chen, Huayi, Moriwaki, Atsushi · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- Remarks on rational points of varieties whose cotangent bundles are generated by global sections
1994/10/21 by Moriwaki, Atsushi · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics
- Bogomolov conjecture over function fields for stable curves with only irreducible fibers (Version 2.0)
1995/05/04 by Moriwaki, Atsushi · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics
- Bogomolov conjecture for curves of genus 2 over function fields
1995/09/30 by Moriwaki, Atsushi · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics
- Relative Bogomolov's inequality and the cone of positive divisors on the moduli space of stable curves
1996/12/12 by Atsushi Moriwaki, Moriwaki, Atsushi · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds
- The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field
1999/10/19 by Atsushi Moriwaki, Moriwaki, Atsushi · 1 citation
Computer Science · Mathematics · #11G35 #14G25 #14G40 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.AG #math.NT #msc:11G35 #msc:14G25 #msc:14G40
- The Q-Picard group of the moduli space of curves in positive characteristic
2000/12/04 by Atsushi Moriwaki, Moriwaki, Atsushi · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Polynomial and algebraic computation #math.AG
- Continuity of volumes on arithmetic varieties
2006/12/11 by Moriwaki, Atsushi · 1 citation
#11G50 #14G40 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- Free basis consisting of strictly small sections
2009/03/23 by Atsushi Moriwaki, Moriwaki, Atsushi · 1 citation
Computer Science · Mathematics · Engineering · #Polynomial and algebraic computation #Algebraic Geometry and Number Theory #Advanced Numerical Analysis Techniques
- Extension property of semipositive invertible sheaves over a non-archimedean field
2015/10/23 by Chen, Huayi, Moriwaki, Atsushi · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- Arithmetic intersection theory over adelic curves
2021/03/29 by Chen, Huayi, Moriwaki, Atsushi · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)