arXiv subjects

Yolanda Fuertes

Publications and source records attributed to Yolanda Fuertes.

2 recordsLinked to original sources

arXiv2012

Curves which cannot be defined over an extension of degree at most two over the field of moduli

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 answer to it by giving examples of hyperelliptic curves which cannot be defined over an extension of degree at least two over their fields of moduli.

math.AG↗

arXiv2009

Beauville surfaces and finite groups

Extending results of Bauer, Catanese and Grunewald, and of Fuertes and González-Diez, we show that Beauville surfaces of unmixed type can be obtained from the groups L_2(q) and SL_2(q) for all prime powers q>5, and the Suzuki groups Sz(2^e) and the Ree groups R(3^e) for all odd e>1. We also show that L_2(q) and SL_2(q) admit strongly real Beauville structures, yielding real Beauville surfaces, if and only if q>5.

math.GR↗