The rank of the Cartier operator and linear systems on curves

DOI10.1006/jabr.2000.8479zbMath0990.14014OpenAlexW2090363162MaRDI QIDQ5929442

Riccardo Re

Publication date: 3 March 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8479

zbMATH Keywords

projective curvecharacteristic \(p\)Cartier operatorFrobenius morphismKähler differentials

Mathematics Subject Classification ID

Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Divisors, linear systems, invertible sheaves (14C20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items

Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers, The \(a\)-numbers of Fermat and Hurwitz curves, IWASAWA THEORY FORp-TORSION CLASS GROUP SCHEMES IN CHARACTERISTICp, \(a\)-numbers of curves in Artin-Schreier covers, The rank of the Cartier operator on cyclic covers of the projective line, Hyperelliptic curves with prescribed \(p\)-torsion, A bound on the genus of a curve with Cartier operator of small rank, THE p-TORSION OF CURVES WITH LARGE p-RANK

Cites Work

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• Weierstrass points on certain non-classical curves
• A study of Hasse-Witt matrices by local methods
• Weierstrass Points and Curves Over Finite Fields
• On supersingular curves and Abelian varieties.
• A characterization of Hermitian function fields over finite fields.
• Sections des fibrés vectoriels sur une courbe
• Cycles on the Moduli Space of Abelian Varieties
• On the Behavior of Extensions of Vector Bundles Under the Frobenius Map