The moduli b-divisor of an lc-trivial fibration

Florin Ambro

doi:10.1112/S0010437X04001071

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We study positivity properties of the moduli (b-)divisor associated to a relative log pair (X, B)/Y with relatively trivial log canonical class.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Prokhorov, Yu. and Shokurov, V. 2008. Towards the second main theorem on complements. Journal of Algebraic Geometry, Vol. 18, Issue. 1, p. 151.

Todorov, Gueorgui Tomov 2010. Effective log Iitaka fibrations for surfaces and threefolds. manuscripta mathematica, Vol. 133, Issue. 1-2, p. 183.

Fujino, Osamu 2010. Finite generation of the log canonical ring in dimension four. Kyoto Journal of Mathematics, Vol. 50, Issue. 4,

Schwede, Karl and Smith, Karen E. 2010. Globally F-regular and log Fano varieties. Advances in Mathematics, Vol. 224, Issue. 3, p. 863.

Odaka, Y. 2011. The Calabi Conjecture and K-stability. International Mathematics Research Notices,

Shokurov, Vyacheslav V. and Choi, Sung Rak 2011. Geography of log models: theory and applications. Central European Journal of Mathematics, Vol. 9, Issue. 3, p. 489.

Fujino, Osamu 2012. Basepoint-free theorems: saturation, b-divisors, and canonical bundle formula. Algebra & Number Theory, Vol. 6, Issue. 4, p. 797.

Fujino, Osamu and Gongyo, Yoshinori 2012. On images of weak Fano manifolds. Mathematische Zeitschrift, Vol. 270, Issue. 1-2, p. 531.

Fujino, Osamu and Gongyo, Yoshinori 2012. On canonical bundle formulaS and subadjunctions. Michigan Mathematical Journal, Vol. 61, Issue. 2,

Birkar, Caucher 2012. Existence of log canonical flips and a special LMMP. Publications mathématiques de l'IHÉS, Vol. 115, Issue. 1, p. 325.

Gongyo, Yoshinori 2012. Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs. Journal of Algebraic Geometry, Vol. 22, Issue. 3, p. 549.

Jiang, Xiaodong 2013. On the pluricanonical maps of varieties of intermediate Kodaira dimension. Mathematische Annalen, Vol. 356, Issue. 3, p. 979.

Gongyo, Yoshinori and Lehmann, Brian 2013. Reduction maps and minimal model theory. Compositio Mathematica, Vol. 149, Issue. 2, p. 295.

Fukuma, Yoshiaki 2013. Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds. Journal of Pure and Applied Algebra, Vol. 217, Issue. 8, p. 1535.

Demailly, Jean-Pierre Hacon, Christopher D. and Păun, Mihai 2013. Extension theorems, non-vanishing and the existence of good minimal models. Acta Mathematica, Vol. 210, Issue. 2, p. 203.

Floris, Enrica 2014. Inductive Approach to Effective b-Semiampleness. International Mathematics Research Notices, Vol. 2014, Issue. 6, p. 1465.

Gongyo, Yoshinori Okawa, Shinnosuke Sannai, Akiyoshi and Takagi, Shunsuke 2014. Characterization of varieties of Fano type via singularities of Cox rings. Journal of Algebraic Geometry, Vol. 24, Issue. 1, p. 159.

Birkar, Caucher and Hu, Zhengyu 2014. Log canonical pairs with good augmented base loci. Compositio Mathematica, Vol. 150, Issue. 4, p. 579.

Beltrametti, M. C. Horing, A. and Novelli, C. 2014. Fano Varieties with Small Non-klt Locus. International Mathematics Research Notices,

Birkar, Caucher and Chen, Jungkai Alfred 2015. Varieties fibred over abelian varieties with fibres of log general type. Advances in Mathematics, Vol. 270, Issue. , p. 206.

Download full list

Article contents

The moduli b-divisor of an lc-trivial fibration

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

The moduli b-divisor of an lc-trivial fibration

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests