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math.AG2012
Curves which cannot be defined over an extension of degree at most two over the field of moduli
Ruben A. Hidalgo, Yolanda Fuertes
It has been conjectured that every algebraic curve may be defined either over its field of moduli or over an extension of degree two of it. In this paper we provide a negative answ…
math.CV2012
An effective descent of arithmetical real algebraic varieties
Rubén A. Hidalgo
Let be a complex smooth algebraic variety admitting a symmetry , that is, an antiholomorphic automorphism of order two. If both, and are defined over $\overline{\mat…
math.AG2012★ 7 cited
Weil's Galois Descent Theorem from a computational point of view
Rubén A. Hidalgo, Sebastián Reyes-Carocca
Let be a finite Galois extension and let be an affine algebraic variety defined over . Weil's Galois descent theorem provides necessar…