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FOOTNOTE TO A MANUSCRIPT BY GWENA AND TEIXIDOR I BIGAS
Ballico, Edoardo,Fontanari, Claudio Korean Mathematical Society 2009 대한수학회보 Vol.46 No.1
Recent work by Gwena and Teixidor i Bigas provides a characteristic-free proof of a part of a previous theorem by one of us, under a stronger numerical assumption. By using an intermediate result from the mentioned manuscript, here we present a simpler, characteristic-free proof of the whole original statement.
Footnote to a manuscript by Gwena and Teixidor i Bigas
Edoardo Ballico,Claudio Fontanari 대한수학회 2009 대한수학회보 Vol.46 No.1
Recent work by Gwena and Teixidor i Bigas provides a characteristic-free proof of a part of a previous theorem by one of us, under a stronger numerical assumption. By using an intermediate result from the mentioned manuscript, here we present a simpler, characteristic-free proof of the whole original statement.
BRILL-NOETHER DIVISORS ON THE MODULI SPACE OF CURVES AND APPLICATIONS
BALLICO EDOARDO,FONTANARI CLAUDIO Korean Mathematical Society 2005 대한수학회지 Vol.42 No.6
Here we generalize previous work by Eisenbud-Harris and Farkas in order to prove that certain Brill-Noether divisors on the moduli space of curves have distinct supports. From this fact we deduce non-trivial regularity results for a higher co dimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genusg.
Brill-Noether divisors on the moduli space of curves and applications
Edoardo Ballico,Claudio Fontanari 대한수학회 2005 대한수학회지 Vol.42 No.6
Here we generalize previous work by Eisenbud-Harris and Farkas in order to prove that certain Brill-Noether divisors on the moduli space of curves have distinct supports. From this fact we deduce non-trivial regularity results for a higher codimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genus $g$.
ON THE GEOMETRY OF BIHYPERELLIPTIC CURVES
Ballico, Edoardo,Casnati, Gianfranco,Fontanari, Claudio Korean Mathematical Society 2007 대한수학회지 Vol.44 No.6
Here we consider bihyperelliptic curves, i.e., double covers of hyperelliptic curves. By applying the theory of quadruple covers, among other things we prove that the bihyperelliptic locus in the moduli space of smooth curves is irreducible and unirational $g{\geq}4{\gamma}+2{\geq}10$.