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Some special properties of the adjunction theory for $3$-folds in $P^{5}$

About this Title

Mauro C. Beltrametti, Michael Schneider and Andrew J. Sommese

Publication: Memoirs of the American Mathematical Society
Publication Year: 1995; Volume 116, Number 554
ISBNs: 978-0-8218-0234-2 (print); 978-1-4704-0133-7 (online)
DOI: https://doi.org/10.1090/memo/0554
MathSciNet review: 1257080
MSC: Primary 14J30; Secondary 14C20, 14E30, 14J35

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Table of Contents

Chapters

  • Introduction
  • 0. Background material
  • 1. The second reduction for $n$-folds in $\mathbb {P}^{2n - 1}$
  • 2. General formulae for threefolds in $\mathbb {P}^5$
  • 3. Nefness and bigness of $K_X + 2\mathcal {K}$
  • 4. Ampleness of $K_X + 2\mathcal {K}$
  • 5. Nefness and bigness of $K_X + \mathcal {K}$
  • 6. Invariants for threefolds in $\mathbb {P}^5$ up to degree 12