Affiliation:
1. Mathematical Institute, University of Freiburg, Ernst-Zermelo-Strasse 1, 79104 Freiburg im Breisgau, Germany
Abstract
Abstract
Up to a factor 1/n!, the volume of a big line bundle agrees with the Euclidean volume of its Okounkov body. The latter is the convex hull of top rank valuation vectors of sections, all with respect to a single flag. In this paper, we give a new volume formula, valid in the ample cone. It is also based on top rank valuation vectors, but mixes data coming from several different flags.
Publisher
Oxford University Press (OUP)
Reference25 articles.
1. Okounkov bodies of finitely generated divisors;Anderson;Int. Math. Res. Not. IMRN,2014
2. Okounkov bodies and toric degenerations;Anderson;Math. Ann.,2013
3. K2 and algebraic cycles;Bloch;Ann. Math.,1974
4. Bad intersections and constructive aspects of the Bloch-Quillen formula;Braunling;NY J. Math.,2013
5. Newton-Okounkov bodies sprouting on the valuative tree;Ciliberto;Rend. Circ. Mat. Palermo,2017