Four-dimensional Fano toric complete intersections
نویسندگان
چکیده
منابع مشابه
Four-dimensional Fano toric complete intersections
We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection in a smooth toric Fano manifold.
متن کاملComplete Intersections in Toric Ideals
We present examples which show that in dimension higher than one or codimension higher than two, there exist toric ideals IA such that no binomial ideal contained in IA and of the same dimension is a complete intersection. This result has important implications in sparse elimination theory and in the study of the Horn system of partial differential equations.
متن کاملTowards the Mirror Symmetry for Calabi-Yau Complete Intersections in Gorenstein Toric Fano Varieties
We propose a combinatorical duality for lattice polyhedra which conjecturally gives rise to the pairs of mirror symmetric families of Calabi-Yau complete intersections in toric Fano varieties with Gorenstein singularities. Our construction is a generalization of the polar duality proposed by Batyrev for the case of hypersurfaces.
متن کاملToric complete intersections and weighted projective space
It has been shown by Batyrev and Borisov that nef partitions of reflexive polyhedra can be used to construct mirror pairs of complete intersection Calabi–Yau manifolds in toric ambient spaces. We construct a number of such spaces and compute their cohomological data. We also discuss the relation of our results to complete intersections in weighted projective spaces and try to recover them as sp...
متن کاملBgg Correspondence for Toric Complete Intersections
We prove a BGG-type correspondence describing coherent sheaves on complete intersections in toric varieties, and a similar assertion for the stable categories of related complete intersection singularities. 2000 Math. Subj. Class. Primary: 18E30; Secondary: 14F05, 14M25, 14M10.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
سال: 2015
ISSN: 1364-5021,1471-2946
DOI: 10.1098/rspa.2014.0704