Patchworking of algebraic varieties
Part of the Oberwolfach Seminars book series (OWS, volume 35)
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 Xt ⊂ Yt 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.
KeywordsToric 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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