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Geometric solution of quadratic diophantine equations
Lněničková, Daniela ; Kala, Vítězslav (advisor) ; Krásenský, Jakub (referee)
The main goal of the work is to summarize and generalize a method for solving quadratic Diophantine equations. We transform the problem of finding the solution of Diophantine equations to finding the intersections of lines and a given quadric. The theory works over a general field and is able to solve equations leading to quadrics of n variables. We then apply the theory to solve some examples, namely the search for Pythagorean triplets over Gaussian integer and the equation leading to the hyperboloid, where we use our generalization. 1

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