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- W4287996664 abstract "Suppose that X is a Fano manifold that corresponds under Mirror Symmetry to a Laurent polynomial f, and that P is the Newton polytope of f. In this setting it is expected that there is a family of algebraic varieties over the unit disc with general fiber X and special fiber the toric variety defined by the spanning fan of P. Building on recent work and conjectures by Corti--Hacking--Petracci, who construct such families of varieties, we determine the topology of the general fiber from combinatorial data on P. This provides evidence for the Corti--Hacking--Petracci conjectures, and verifies that their construction is compatible with expectations from Mirror Symmetry." @default.
- W4287996664 created "2022-07-26" @default.
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- W4287996664 date "2019-12-09" @default.
- W4287996664 modified "2023-10-18" @default.
- W4287996664 title "On the Topology of Fano Smoothings" @default.
- W4287996664 doi "https://doi.org/10.48550/arxiv.1912.04383" @default.
- W4287996664 hasPublicationYear "2019" @default.
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