Mixed toric residues and tropical degenerations

dc.creatorSzenes, Andras
dc.creatorVergne, Michele
dc.date2004-10-04
dc.date2005-10-29
dc.date.accessioned2026-07-07T06:38:52Z
dc.date.available2026-07-07T06:38:52Z
dc.descriptionBuilding on our earlier work on toric residues and reduction, we give a proof for the mixed toric residue conejecture of Batyrev and Materov. We simplify and streamline our technique of tropical degenerations, which allows one to interpolate between two localization principles: one appearing in the intersection theory toric quotients and the other in the calculus of toric residues. This quickly leads to the proof of the conjecture, which gives a closed form for the summation of a generating series whose coefficients are certain variants of the "numbers" of rational curves on toric complete intersection Calabi-Yau manifolds.
dc.descriptionmisprints corrected, an example added; 35 pages
dc.identifierhttps://arxiv.org/abs/math/0410064
dc.identifierhttp://arxiv.org/abs/math/0410064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100894
dc.subjectAlgebraic Geometry
dc.titleMixed toric residues and tropical degenerations
dc.typetext

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