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We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.
Thibaut Delcroix. "Alpha-invariant of toric line bundles." Annales Polonici Mathematici 114.1 (2015): 13-27. <http://eudml.org/doc/280157>.
@article{ThibautDelcroix2015, abstract = {We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this.}, author = {Thibaut Delcroix}, journal = {Annales Polonici Mathematici}, keywords = {log canonical threshold; alpha invariant; toric line bundle; polytope}, language = {eng}, number = {1}, pages = {13-27}, title = {Alpha-invariant of toric line bundles}, url = {http://eudml.org/doc/280157}, volume = {114}, year = {2015}, }
TY - JOUR AU - Thibaut Delcroix TI - Alpha-invariant of toric line bundles JO - Annales Polonici Mathematici PY - 2015 VL - 114 IS - 1 SP - 13 EP - 27 AB - We generalize the work of Jian Song by computing the α-invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the log canonical threshold of any non-negatively curved singular hermitian metric on the line bundle, and deduce the α-invariant from this. LA - eng KW - log canonical threshold; alpha invariant; toric line bundle; polytope UR - http://eudml.org/doc/280157 ER -