On Grothendieck's generalized Hodge conjecture for a family of threefolds with trivial canonical bundle.
In this Note, using a classical theorem of Sylvester, we find the equations and prove the rationality of an affine open set which is dense in the space of moduli of nonsingular cubic surfaces of the three-dimensional complex projective space.
Let be an algebraic projective smooth and trigonal curve of genus . In this paper we define, in a way equivalent to that followed by A. Maroni in [1], an integer , called the species of , which is a birational invariant having the property that and mod(2). In section 1 we prove that for every and every , as before, there are trigonal curves of genus and species . In section 2 we define the space of moduli of trigonal curves of genus and species . We note that is irreducible...
Let be an algebraic projective smooth and trigonal curve of genus . In this paper we define, in a way equivalent to that followed by A. Maroni in [1], an integer , called the species of , which is a birational invariant having the property that and mod(2). In section 1 we prove that for every and every , as before, there are trigonal curves of genus and species . In section 2 we define the space of moduli of trigonal curves of genus and species . We note that is irreducible...
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