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Compactifying Torus Fibrations Over Integral Affine Manifolds with Singularities

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2019-20 MATRIX Annals

Part of the book series: MATRIX Book Series ((MXBS,volume 4))

Abstract

This is an announcement of the following construction: given an integral affine manifold B with singularities, we build a topological space X which is a torus fibration over B. The main new feature of the fibration X → B is that it has the discriminant in codimension 2.

H.R. was supported by DFG grant RU 1629/4-1 and the Department of Mathematics at Universit¨at Hamburg. The research of I.Z. was supported by Simons Collaboration grant A20-0125-001.

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Correspondence to Helge Ruddat .

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Ruddat, H., Zharkov, I. (2021). Compactifying Torus Fibrations Over Integral Affine Manifolds with Singularities. In: de Gier, J., Praeger, C.E., Tao, T. (eds) 2019-20 MATRIX Annals. MATRIX Book Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-030-62497-2_37

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