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Patchworking of algebraic varieties

Part of the Oberwolfach Seminars book series (OWS, volume 35)

Abstract

Consider the diagram where Y is a germ of a 1-parameter flat1 family of algebraic varieties with dim Y≥3, such that the fibres Yt are reduced irreducible for t ≠ 0, and the central fibre Y0 splits into a few reduced components. Further on, X is a germ of a 1-parameter flat family of subvarieties XtYt for t ∈ (ℂ, 0). When considering the diagram (2.1) over the reals, we assume that X and Y are equipped with a complex conjugation which commutes with the projections, and we restrict the parameter range to t ∈ [0, τ), τ; > 0, taking the respective preimages in X and Y.

Keywords

Toric Variety Newton Polygon Toric Surface Convex Lattice Tropical Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag AG 2007

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