On pluri-canonical systems of arithmetic surfaces

DOI10.1007/s00229-015-0810-2zbMath1369.14036arXiv1409.0382OpenAlexW2963927971MaRDI QIDQ276063

Yi Gu

Publication date: 26 April 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0382

zbMATH Keywords

family of curvesrelative canonical bundlevery ampleness

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Stable reflexive sheaves
• Relative canonical sheaves of a family of curves
• The irreducibility of the space of curves of a given genus
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Embeddings of curves and surfaces
• On Isolated Rational Singularities of Surfaces
• Algebraic surfaces. Transl. from the Romanian by V. Maşek

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