Seminarraum 00.003, Spiegelgasse 1
Organizer:
Tiago Duarte Guerreiro
In this talk, we present an algorithmic criterion for determining when, if the foliation is given by polynomials, it admits a polynomial first integral whose associated algebraic curve has genus $g\neq 1$. We explore the restrictions that arise when considering a rational first integral that is not necessarily polynomial, how the algorithm works in practice, and some illustrative examples.
This talk is based on joint work with Carlos Galindo and Francisco Monserrat.
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