A note on the dimension of global sections of adjoint bundles for polarized 4-folds

DOI10.3792/pjaa.94.53zbMath1405.14021OpenAlexW2799952160MaRDI QIDQ1785968

Yoshiaki Fukuma

Publication date: 21 September 2018

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.94.53

zbMATH Keywords

adjoint bundlepolarized manifoldsectional geometric genus

Mathematics Subject Classification ID

(4)-folds (14J35) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• On a conjecture of Beltrametti-Sommese for polarized 4-folds
• A study on the dimension of global sections of adjoint bundles for polarized manifolds. II
• A study on the dimension of global sections of adjoint bundles for polarized manifolds
• On the dimension of global sections of adjoint bundles for polarized 3-folds and 4-folds
• Effective non-vanishing and local positivity of adjoint ample bundles
• Ladders on Fano varieties
• The adjunction theory of complex projective varieties
• A lower bound for sectional genus of quasi-polarized manifolds
• On a conjecture of Beltrametti and Sommese
• Effective non-vanishing conjectures for projective threefolds
• On the Sectional Geometric Genus of Quasi-Polarized Varieties. I
• ON THE DIMENSION OF <i>H</i>⁰<i>(K</i><i>_X</i>+ <i>mL) </i>OF POLARIZED <i>n</i>-FOLDS (<i>X</i>,<i> L</i>) WITH <i>m </i>≥ <i>n </i>
• ON A CONJECTURE OF BELTRAMETTI–SOMMESE FOR POLARIZED 3-FOLDS
• On effective non-vanishing and base-point-freeness.

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