Some special properties of the adjunction theory for 3-folds in [double-struck capital]P⁵

Some special properties of the adjunction theory for 3-folds in [double-struck capital]P⁵ / Mauro C. Beltrametti, Michael Schneider, [and] Andrew J. Sommese.

This paper studies the adjunction theory of smooth 3-folds in [double-struck capital]P⁵. Because of the many special restriction on such 3-folds the structure of the adjunction theoretic reductions are especially simple, e.g., the 3-fold equals its first reduction, the second reduction is smooth exc...

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Bibliographic Details
Main Authors: Beltrametti, Mauro, 1948-, Schneider, Michael, 1942 May 18- (Author), Sommese, Andrew John (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, [1995]
Series:Memoirs of the American Mathematical Society ; Volume 116, no. 554.
Subjects:
Adjunction theory.
Threefolds (Algebraic geometry)
Adjunction theory
Online Access:Click for online access
Table of Contents:
  • Introduction
  • Background material
  • The second reduction for [italic]n-folds in [double-struck capital]P²[superscript italic]n⁻¹
  • General formulae for threefolds in [double-struck capital]P⁵
  • Nefness and bigness of [italic capital]K[subscript italic capital]X + 2[script capital]K
  • Ampleness of [italic capital]K[subscript italic capital]X + 2[script capital]K
  • Nefness and bigness of [italic capital]K[subscript italic capital]X + [script capital]K
  • Invariants for threefolds in [double-struck capital]P⁵ up to degree 12.

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