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arxiv: 1801.04611 · v1 · pith:CM4YH727new · submitted 2018-01-14 · 🧮 math.AG · math.AC

On Newton-Okounkov bodies of Graded Linear Series

classification 🧮 math.AG math.AC
keywords gradedlinearseriesbodiesnewton-okounkovbasebirationalcase
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We generalize the theory of Newton-Okounkov bodies of big divisors to the case of graded linear series. One of the results is the generalization of slice formulas and the existence of generic Newton-Okounkov bodies for birational graded linear series. We also give a characterization of graded linear series which have full volume in terms of their base locus.

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