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math.AG2021
The standard realizations for the K-theory of varieties
Oliver Braunling, Michael Groechenig, Anubhav Nanavaty
The Grothendieck ring of varieties has well-known realization maps to, say, mixed Hodge structures or compactly supported -adic cohomology. Zakharevich and\ Campbell have dev…
math.AG2019
Volume of line bundles via valuation vectors (different from Okounkov bodies)
Oliver Braunling
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,…