Oberwolfach Reports


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Volume 14, Issue 3, 2017, pp. 2631–2657
DOI: 10.4171/OWR/2017/43

Published online: 2018-07-04

Mini-Workshop: Positivity in Higher-dimensional Geometry: Higher-codimensional Cycles and Newton–Okounkov Bodies

Mihai Fulger[1], Alex Küronya[2] and Brian Lehmann[3]

(1) University of Connecticut, Storrs, USA
(2) Goethe-Universität Frankfurt, Germany
(3) Boston College, Chestnut Hill, USA

There are several flavors of positivity in Algebraic Geometry. They range from conditions that determine vanishing of cohomology, to intersection theoretic properties, and to convex geometry. They offer excellent invariants that have been shown to govern the classification and the parameterization programs in Algebraic Geometry, and are finer than the classical topological ones. This mini-workshop aims to facilitate research collaboration in the area, strengthening the relationship between various positivity notions, beyond the now classical case of divisors/line bundles.

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Fulger Mihai, Küronya Alex, Lehmann Brian: Mini-Workshop: Positivity in Higher-dimensional Geometry: Higher-codimensional Cycles and Newton–Okounkov Bodies. Oberwolfach Rep. 14 (2017), 2631-2657. doi: 10.4171/OWR/2017/43