Garcia-Fritz, Natalia
- Towards Hilbert's Tenth Problem for rings of integers through Iwasawa\n theory and Heegner points
2019/09/03 by Natalia Garcia‐Fritz, Garcia-Fritz, Natalia, Héctor Pastén +1 · 2 citations
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic
- Elliptic curves with long arithmetic progressions have large rank
2019/10/31 by Garcia-Fritz, Natalia, Pasten, Hector · 1 citation
#11B25 #Complex Variables (math.CV) #FOS: Mathematics #Number Theory (math.NT) #Primary 11G05 #Secondary 30D35
- Non-Diophantine sets in rings of functions
2022/10/19 by Natalia Garcia‐Fritz, NATALIA GARCIA-FRITZ, Garcia-Fritz, Natalia +6 · 1 citation
Mathematics · #11R58 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Logic (math.LO) #Number Theory (math.NT) #Primary: 11U05 #Secondary: 11C08
- Linear x-coordinate relations of triples on elliptic curves
2023/10/26 by Jerson Caro, Caro, Jerson, Natalia Garcia‐Fritz +1 · 1 citation
Mathematics · #Mathematics and Applications #Functional Equations Stability Results #advanced mathematical theories
- Effectivity for existence of rational points is undecidable
2023/11/03 by Natalia Garcia‐Fritz, Héctor Pastén, Garcia-Fritz, Natalia +3 · 1 citation
Computer Science · Mathematics · #11G50 #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Logic (math.LO) #Number Theory (math.NT) #Polynomial and algebraic computation #Primary: 11U05 #Secondary: 11C08
- A criterion for non-density of integral points
2023/11/29 by Natalia Garcia‐Fritz, Héctor Pastén, Garcia-Fritz, Natalia +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Primary: 14G05 #Secondary: 11J25 and 11J97