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alg-geom1995
Curves that change genus can have arbitrarily many rational points
Jose' Felipe Voloch
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to "change genus". If K is a global field of positive characteristic and C/K a curve…
alg-geom1994
Reduction of the Manin map modulo
A. Buium, J. F. Voloch
For an abelian variety over a function field of characteristic zero, Manin defined a remarkable additive map $A(K) \ra V$, where is a vector space over . We define a…