Results 21 to 30 of about 50 (43)

Enumerating Calabi‐Yau Manifolds: Placing Bounds on the Number of Diffeomorphism Classes in the Kreuzer‐Skarke List

open access: yesFortschritte der Physik, Volume 72, Issue 5, May 2024.
Abstract The diffeomorphism class of simply connected smooth Calabi‐Yau threefolds with torsion‐free cohomology is determined via certain basic topological invariants: the Hodge numbers, the triple intersection form, and the second Chern class.
Aditi Chandra   +4 more
wiley   +1 more source

Birational maps with transcendental dynamical degree

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.
Abstract We give examples of birational selfmaps of Pd,d⩾3$\mathbb {P}^d, d \geqslant 3$, whose dynamical degree is a transcendental number. This contradicts a conjecture by Bellon and Viallet. The proof uses a combination of techniques from algebraic dynamics and diophantine approximation.
Jason P. Bell   +3 more
wiley   +1 more source
Some of the next articles are maybe not open access.

The Diophantine Equation in Quadratic Number Fields

Bulletin of the Australian Mathematical Society, 2021
Andrew Li
exaly  

Quadratic Diophantine Equations With Applications to Quartic Equations

Rocky Mountain Journal of Mathematics, 2016
Ajai Choudhry
exaly  

Small Solutions of Quadratic Diophantine Equations

Proceedings of the London Mathematical Society, 2003
Rainer Dietmann
exaly  

A Computational DNA Solution Approach for the Quadratic Diophantine Equation

Applied Mathematics and Computation, 2014
Carlos Alberto Alonso Sanches
exaly  

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