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NEWTON POLYHEDRA AND AN ALGORITHM FOR COMPUTING HODGE–DELIGNE NUMBERS

1987; IOP Publishing; Volume: 29; Issue: 2 Linguagem: Inglês

10.1070/im1987v029n02abeh000970

2169-5075

V. I. Danilov, Askold Khovanskiĭ,

Advanced Combinatorial Mathematics

An algorithm is given for computing the mixed Hodge structure (more precisely, the Hodge–Deligne numbers) for cohomology of complete intersections in toric varieties in terms of Newton polyhedra specifying the complete intersection. In some particular cases the algorithm leads to explicit formulas. Bibliography: 8 titles.