Katerina Santicola

University of Warwick University of Warwick


Reverse engineered hyperelliptic curves


Linfoot Number Theory Seminar


22nd March 2023, 11:00 am – 12:00 pm
Fry Building, Room 2.04


Falting's Theorem states that for any curve of genus >1, the set of rational points is finite. A lot of research effort is devoted to determining exactly the set of rational points that lie on a curve. In this talk, we're going in the opposite direction. We will show that for any finite set of rational points S, we can construct a hyperelliptic curve C/Q such that C(Q)=S.





Organisers: Holly Green, Besfort Shala

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