A bound on the genus of a curve with Cartier operator of small rank

DOI10.1007/s12215-018-0379-1zbMath1427.14019arXiv1710.01058OpenAlexW2962824698MaRDI QIDQ2009800

Zijian Zhou

Publication date: 29 November 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01058

zbMATH Keywords

Cartier operatoreffective divisorsnon-hyperelliptic curves

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Divisors, linear systems, invertible sheaves (14C20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Holomorphic differentials of generalized Fermat curves

Cites Work

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• The rank of the Cartier operator on cyclic covers of the projective line
• The \(a\)-number of hyperelliptic curves
• THE p-TORSION OF CURVES WITH LARGE p-RANK
• On supersingular curves and Abelian varieties.
• The rank of the Cartier operator and linear systems on curves

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