Questions tagged [higher-genus-curves]
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questions with no upvoted or accepted answers
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Non-hyperelliptic families of curves with trivial Ceresa class (or Gross-Schoen class)
Suppose X/K is a curve over a field K, which we want to think of as non-algebraically closed, and let x be a point of X(K). The Ceresa cycle is defined as follows; you can embed X in Jac(X) by sending ...
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Is the isogeny class 1109.a of abelian surfaces in the LMFDB complete?
The LMFDB lists the Jacobian of the genus-2 curve 1109.a.1109.1 (http://www.lmfdb.org/Genus2Curve/Q/1109/a/1109/1) as being isolated in its rational-isogeny class. However, the LMFDB does not purport ...
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Does there exist a non-isotrivial fibration of genus two over P^1 with only 3 singular fibres of general type surfaces?
We will work over the complex numbers C.
This question is based on Beauville's article :
there exist a non-isotrivial fibration of genus 2 over P^1 with only 3 singular fibres.
but not know for ...
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