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The $a$-number of Certain Hyperelliptic Curves

Commutative Algebra 2019-03-20 v2 Algebraic Geometry

Abstract

In this paper, we compute a formula for the aa-number of certain hyperelliptic curves given by the equation y2=xm+1y^2= x^m+1 for infinitely many values of mm. The same question is studied for the curve corresponding to y2=xm+xy^2= x^m+x.

Keywords

Cite

@article{arxiv.1902.03672,
  title  = {The $a$-number of Certain Hyperelliptic Curves},
  author = {Vahid Nourozi and Farhad Rahmati and Saeed Tafazolian},
  journal= {arXiv preprint arXiv:1902.03672},
  year   = {2019}
}

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9 pages