- Equidistribution of rational points and the geometric sieve for toric varieties
2021/11/02 by Zhizhong Huang, Huang, Zhizhong · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic number #Boundary (topology) #Bounded function #Computer science #Equidistributed sequence #Geometry and complex manifolds #Mathematical analysis #Mathematics #Measure (data warehouse) #Pure mathematics #Rational point #Toric variety #math.AG #math.NT
- Albanese maps and fundamental groups of varieties with many rational points over function fields
2020/10/06 by Ariyan Javanpeykar, Javanpeykar, Ariyan, Erwan Rousseau +1 · 2 citations
Computer Science · Mathematics · #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Biology #Commutative Algebra and Its Applications #Evolutionary biology #FOS: Mathematics #Function (biology) #Mathematical analysis #Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #Pure mathematics #Rational function #Rational point #math.AG #math.NT
- Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
2017/01/16 by Yohsuke Matsuzawa, Matsuzawa, Yohsuke, Kaoru Sano +3 · 1 citation
Mathematics · #11G35 #11G50 #14G05 #14G25 #14G40 #37P55 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic number #Algebraic number field #Automorphism #Conjecture #Degree (music) #Discrete mathematics #Disjoint sets #Dynamical Systems (math.DS) #Endomorphism #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Number Theory (math.NT) #Projective variety #Pure mathematics #Rational point #Surjective function #math.AG #math.DS #math.NT #msc:11G35 #msc:11G50 #msc:14G05 #msc:14G25 #msc:14G40 #msc:37P55
- Potential density of rational points for K3 surfaces over function fields
2006/04/10 by Brendan Hassett, Yuri Tschinkel, Hassett, Brendan +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Field (mathematics) #Function (biology) #Function field #Geometry and complex manifolds #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Pure mathematics #Rank (graph theory) #Rational function #Rational point #math.AG #msc:14G25 #msc:14J28
- A conjecture on rational approximations to rational points
2005/04/14 by David McKinnon, McKinnon, David · 1 citation
Computer Science · Engineering · Mathematics · #14G05 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic number #Collatz conjecture #Combinatorics #Conjecture #FOS: Mathematics #Geometry #Lonely runner conjecture #Mathematical analysis #Mathematics #Number Theory (math.NT) #Point (geometry) #Polynomial and algebraic computation #Pure mathematics #Range (aeronautics) #Rational point #Statistics #Variety (cybernetics) #math.AG #math.NT #msc:14G05
- Constructing one-parameter families of elliptic curves with moderate rank
2004/06/28 by Scott Arms, Steven J. Miller, Álvaro Lozano‐Robledo +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #Combinatorics #Cryptography and Residue Arithmetic #Degree (music) #Discrete mathematics #Division polynomials #Elliptic curve #Hessian form of an elliptic curve #Mathematical analysis #Mathematics #Pure mathematics #Quarter period #Rank (graph theory) #Rational point #Schoof's algorithm #Supersingular elliptic curve #math.AG #math.NT #msc:11G05 #msc:11G20
- Rational and Nearly Rational Varieties
2004/04/22 by Janós Kollár, Karen E. Smith, Alessio Corti · 1 citation
Computer Science · Mathematics · #Polynomial and algebraic computation #Rationality #Ideal (ethics) #Mathematics education #Point (geometry) #Mathematics #Algebraic number #Rational point #Algebraic variety #Computer science #Algebra over a field #Epistemology #Pure mathematics #Philosophy #Geometry
- Abelian fibrations and rational points on symmetric products
1999/09/14 by Brendan Hassett, Hassett, Brendan, Yuri Tschinkel +1 · 2 citations
Mathematics · #Abelian group #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Birational geometry #Computer science #Extension (predicate logic) #FOS: Mathematics #Fibration #Field (mathematics) #Geometry #Mathematical analysis #Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Physics #Product (mathematics) #Pure mathematics #Rational point #Rational surface #Surface (topology) #math.AG #math.NT
- Beyond the Manin obstruction
1999/01/15 by Alexei N. Skorobogatov · 4 citations
Computer Science · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic number field #Counterexample #Descent (aeronautics) #Discrete mathematics #Elliptic curve #Geometry #Hasse principle #Mathematical analysis #Mathematics #Point (geometry) #Pure mathematics #Rational point #Topological and Geometric Data Analysis #Type (biology)
- Rational Numbers
1997/01/01 by Meenaxi Bhattacharjee, Rögnvaldur G. Möller, Dugald Macpherson +1 · 1 citation
Mathematics · Chemistry · #History and Theory of Mathematics #Automorphism #Rational number #Mathematics #Group (periodic table) #Order (exchange) #Set (abstract data type) #Pure mathematics #Rational point #Algebra over a field #Computer science #Mathematical analysis #Chemistry #Economics #Organic chemistry