The a-Number of Certain Hyperelliptic Curves

The a-Number of Certain Hyperelliptic Curves

The a -number of an algebraic curve X is the dimension of the space of exact holomorphic differentials on X . In this paper, we give a formula for the a -number of family of hyperelliptic curves defined by the equations y 2 = x m + 1 and y 2 = x m + x for infinitely many values of m .

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Veröffentlicht in:Iranian journal of science and technology. Transaction A, Science Science, 2022-08, Vol.46 (4), p.1235-1239
Hauptverfasser: Nourozi, Vahid, Rahmati, Farhad, Tafazolian, Saeed
Format: Artikel
Sprache:eng
Schlagworte:
Chemistry/Food Science
Earth Sciences
Engineering
Life Sciences
Materials Science
Mathematics
Physics
Research Paper
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Zusammenfassung:The a -number of an algebraic curve X is the dimension of the space of exact holomorphic differentials on X . In this paper, we give a formula for the a -number of family of hyperelliptic curves defined by the equations y 2 = x m + 1 and y 2 = x m + x for infinitely many values of m .
ISSN:1028-6276
2364-1819
DOI:10.1007/s40995-022-01332-3