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math.AG2010
A New Curve Algebraically but not Rationally Uniformized by Radicals
Gian Pietro Pirola, Cecilia Rizzi, Enrico Schlesinger
We give a new example of a curve C algebraically, but not rationally, uniformized by radicals. This means that C has no map onto the projective line P^1 with solvable Galois group,…
math.AG2006
Infinitesimal invariant and vector bundles
Gian Pietro Pirola, Cecilia Rizzi
We study the Saito-Ikeda infinitesimal invariant of the ccle defined by curves in their jacobians using rank (k+1) vector bundles and we give a criterion for which the higher cycle…
math.AG2004
A curve algebraically but not rationally uniformized by radicals
Gian Pietro Pirola, Enrico Schlesinger
Zariski proved the general complex projective curve of genus g>6 is not rationally uniformized by radicals, that is, admits no map to the projective line whose Galois group is solv…