Mixed toric residues and Calabi-Yau complete intersections

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dc.creatorBatyrev, Victor V.
dc.creatorMaterov, Evgeny N.
dc.date2002-06-06
dc.date2003-02-13
dc.date.accessioned2026-07-07T04:48:56Z
dc.date.available2026-07-07T04:48:56Z
dc.descriptionUsing Cayley trick, we define the notions of mixed toric residues and mixed Hessians associated with $r$ Laurent polynomials $f_1,...,f_r$.We conjecture that the values of mixed toric residues on the mixed Hessians are determined by mixed volumes of the Newton polytopes of $f_1,...,f_r$. Using mixed toric residues, we generalize our Toric Residue Mirror Conjecture to the case of Calabi-Yau complete intersections in Gorenstein toric Fano varieties obtained from nef-partitions of reflexive polytopes.
dc.descriptionAMS LaTeX; 28 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0206057
dc.identifierhttp://arxiv.org/abs/math/0206057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64238
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject14M25
dc.titleMixed toric residues and Calabi-Yau complete intersections
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