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Very ample line bundles on reducible curves

Authors
Journal
Journal of Pure and Applied Algebra
0022-4049
Publisher
Elsevier
Publication Date
Volume
185
Identifiers
DOI: 10.1016/s0022-4049(03)00101-4
Disciplines
  • Mathematics

Abstract

Abstract Here we study the very ample line bundles and the birationally very ample line bundles on a reduced but reducible projective curve X (e.g. classify all stable curves of compact type on which every very ample line bundle induces an arithmetically Cohen–Macaulay embedding and the genus g stable curves without a very ample line bundle of degree at most 3 g−1). We also give a condition implying that two morphisms f : X→ P 1 and h : X→ P 1 factor through the same involution.

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