A note on a theorem of Griffiths on the Abel-Jacobi map.
T. Shioda (1985)
Inventiones mathematicae
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T. Shioda (1985)
Inventiones mathematicae
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J.J. Modi, J.D. Pryce (1985)
Numerische Mathematik
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Green, Mark L. (1998)
Documenta Mathematica
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Benoît Perthame, Stephane Génieys (2010)
Mathematical Modelling of Natural Phenomena
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The nonlocal Fisher equation has been proposed as a simple model exhibiting Turing instability and the interpretation refers to adaptive evolution. By analogy with other formalisms used in adaptive dynamics, it is expected that concentration phenomena (like convergence to a sum of Dirac masses) will happen in the limit of small mutations. In the present work we study this asymptotics by using a change of variables that leads to a constrained Hamilton-Jacobi equation. We prove the convergence...
Szyjewski, Marek (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 11A15. We extend to the Jacobi symbol Zolotarev's idea that the Legendre symbol is the sign of a permutation, which leads to simple, strightforward proofs of many results, the proof of the Gauss Reciprocity for Jacobi symbols including.