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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Projectively normal adjunction surfaces
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by Marco Andreatta and Edoardo Ballico PDF
Proc. Amer. Math. Soc. 112 (1991), 919-924 Request permission

Abstract:

On a projective surface $S$ polarized by a very ample line bundle $L$ one can consider the adjoint bundles ${({K_S} \otimes L)^{ \otimes n}} = {L^{ \otimes n}}$ and the adjunction mappings associated to them. Suppose these mappings are embeddings (it is well known when this is the case: see [So-VdV]). We prove that these embeddings are projectively normal for $n \geq 2$ and we describe some counterexamples for $n = 1$. For $n \geq 2$ we show that the ideals of the image of $S$ are generated by quadrics.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 919-924
  • MSC: Primary 14J25
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1057947-X
  • MathSciNet review: 1057947