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- W2898672012 abstract "A few years ago Okounkov associated a convex set (Newton–Okounkov body) to a divisor, encoding the asymptotic vanishing behaviour of all sections of all powers of the divisor along a fixed flag. This brought to light the following guiding principle “use convex geometry, through the theory of these bodies, to study the geometrical/algebraic/arithmetic properties of divisors on smooth projective varieties”. The main goal of this survey article is to explain some of the philosophical underpinnings of this principle with a view towards studying local positivity and syzygetic properties of algebraic varieties." @default.
- W2898672012 created "2018-11-09" @default.
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- W2898672012 date "2018-01-01" @default.
- W2898672012 modified "2023-10-18" @default.
- W2898672012 title "From Convex Geometry of Certain Valuations to Positivity Aspects in Algebraic Geometry" @default.
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- W2898672012 doi "https://doi.org/10.1007/978-3-030-00027-1_3" @default.
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