6533b7dbfe1ef96bd1270971

RESEARCH PRODUCT

Compactifying Torus Fibrations Over Integral Affine Manifolds with Singularities

Helge RuddatHelge RuddatIlia Zharkov

subject

Pure mathematicsMathematics::Algebraic GeometryDiscriminantFeature (computer vision)FibrationTorusAffine transformationCodimensionTopological spaceAffine manifoldMathematics::Symplectic GeometryMathematics

description

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.

https://doi.org/10.1007/978-3-030-62497-2_37