On complete intersections with trivial canonical class

Lev A. Borisov; Zhan Li

doi:10.1016/j.aim.2014.08.013

On complete intersections with trivial canonical class

Lev A. Borisov, Zhan Li

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties. Our results imply in particular that Batyrev-Borisov toric construction produces only a bounded set of Hodge numbers in any given dimension, even as the codimension is allowed to grow.

Original language	English (US)
Pages (from-to)	339-349
Number of pages	11
Journal	Advances in Mathematics
Volume	268
DOIs	https://doi.org/10.1016/j.aim.2014.08.013
State	Published - Jan 2 2015

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Batyrev-Borisov construction
Calabi-Yau varieties
Complete intersections
Fano varieties
Hodge numbers

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10.1016/j.aim.2014.08.013

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title = "On complete intersections with trivial canonical class",

abstract = "We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties. Our results imply in particular that Batyrev-Borisov toric construction produces only a bounded set of Hodge numbers in any given dimension, even as the codimension is allowed to grow.",

keywords = "Batyrev-Borisov construction, Calabi-Yau varieties, Complete intersections, Fano varieties, Hodge numbers",

author = "Borisov, {Lev A.} and Zhan Li",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

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doi = "10.1016/j.aim.2014.08.013",

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AU - Borisov, Lev A.

AU - Li, Zhan

PY - 2015/1/2

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N2 - We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties. Our results imply in particular that Batyrev-Borisov toric construction produces only a bounded set of Hodge numbers in any given dimension, even as the codimension is allowed to grow.

AB - We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties. Our results imply in particular that Batyrev-Borisov toric construction produces only a bounded set of Hodge numbers in any given dimension, even as the codimension is allowed to grow.

KW - Batyrev-Borisov construction

KW - Calabi-Yau varieties

KW - Complete intersections

KW - Fano varieties

KW - Hodge numbers

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VL - 268

SP - 339

EP - 349

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

On complete intersections with trivial canonical class

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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