Hodge level for weighted complete intersections

被引：7
作者：
Przyjalkowski, Victor [1 ,2 ]
Shramov, Constantin [1 ,3 ]
机构：
[1] RAS, Steklov Math Inst, 8 Gubkina St, Moscow 119991, Russia
[2] Natl Res Univ Higher Sch Econ NRU HSE, Lab Mirror Symmetry, 6 Usacheva St, Moscow 117312, Russia
[3] Natl Res Univ Higher Sch Econ NRU HSE, Lab Algebra Geometry, 6 Usacheva St, Moscow 117312, Russia
来源：
COLLECTANEA MATHEMATICA | 2020年 / 71卷 / 03期
关键词：
LANDAU-GINZBURG MODELS; PROJECTIVE SPACES; LAURENT PHENOMENON; VECTOR-BUNDLES; CATEGORIES; COHOMOLOGY; SECTIONS; SHEAVES;
D O I：
10.1007/s13348-019-00276-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give lower bounds for Hodge numbers of smooth well formed Fano weighted complete intersections. In particular, we compute their Hodge level, that is, the maximal distance between non-trivial Hodge numbers in the same row of the Hodge diamond. This allows us to classify varieties whose Hodge numbers are like that of a projective space, of a curve, or of a Calabi-Yau variety of low dimension.
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页码：549 / 574
页数：26
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