منابع مشابه
Finding Rational Points on Bielliptic Genus 2 Curves
We discuss a technique for trying to find all rational points on curves of the form Y 2 = f3X + f2X + f1X + f0, where the sextic has nonzero discriminant. This is a bielliptic curve of genus 2. When the rank of the Jacobian is 0 or 1, Chabauty’s Theorem may be applied. However, we shall concentrate on the situation when the rank is at least 2. In this case, we shall derive an associated family ...
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We construct two infinite families of ball quotient compactifications birational to bielliptic surfaces. For each family, the volume spectrum of the associated noncompact finite volume ball quotient surfaces is the set of all positive integral multiples of 8 3 π, i.e., they attain all possible volumes of complex hyperbolic 2-manifolds. The surfaces in one of the two families all have 2-cusps, s...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2018
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2018.294.495