On (2, 4) complete intersection threefolds that contain an Enriques surface

Lev A. Borisov; Howard J. Nuer

doi:10.1007/s00209-016-1676-z

On (2, 4) complete intersection threefolds that contain an Enriques surface

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

Abstract

We study nodal complete intersection threefolds of type (2, 4) in P⁵ which contain an Enriques surface in its Fano embedding. We completely determine Calabi–Yau birational models of a generic such threefold. These models have Hodge numbers h¹¹= 2 , h¹²= 32. We also describe Calabi–Yau varieties with Hodge numbers (h¹¹, h¹²) equal to (2, 26), (23, 5) and (31, 1). The last two pairs of Hodge numbers are, to the best of our knowledge, new.

Original language	English
Pages (from-to)	853-876
Number of pages	24
Journal	Mathematische Zeitschrift
Volume	284
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-016-1676-z
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

Calabi–Yau threefolds
Enriques surfaces
Minimal model program

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00209-016-1676-z

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title = "On (2, 4) complete intersection threefolds that contain an Enriques surface",

abstract = "We study nodal complete intersection threefolds of type (2, 4) in P5 which contain an Enriques surface in its Fano embedding. We completely determine Calabi–Yau birational models of a generic such threefold. These models have Hodge numbers h11= 2 , h12= 32. We also describe Calabi–Yau varieties with Hodge numbers (h11, h12) equal to (2, 26), (23, 5) and (31, 1). The last two pairs of Hodge numbers are, to the best of our knowledge, new.",

keywords = "Calabi–Yau threefolds, Enriques surfaces, Minimal model program",

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doi = "10.1007/s00209-016-1676-z",

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TY - JOUR

T1 - On (2, 4) complete intersection threefolds that contain an Enriques surface

AU - Borisov, Lev A.

AU - Nuer, Howard J.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We study nodal complete intersection threefolds of type (2, 4) in P5 which contain an Enriques surface in its Fano embedding. We completely determine Calabi–Yau birational models of a generic such threefold. These models have Hodge numbers h11= 2 , h12= 32. We also describe Calabi–Yau varieties with Hodge numbers (h11, h12) equal to (2, 26), (23, 5) and (31, 1). The last two pairs of Hodge numbers are, to the best of our knowledge, new.

AB - We study nodal complete intersection threefolds of type (2, 4) in P5 which contain an Enriques surface in its Fano embedding. We completely determine Calabi–Yau birational models of a generic such threefold. These models have Hodge numbers h11= 2 , h12= 32. We also describe Calabi–Yau varieties with Hodge numbers (h11, h12) equal to (2, 26), (23, 5) and (31, 1). The last two pairs of Hodge numbers are, to the best of our knowledge, new.

KW - Calabi–Yau threefolds

KW - Enriques surfaces

KW - Minimal model program

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U2 - 10.1007/s00209-016-1676-z

DO - 10.1007/s00209-016-1676-z

M3 - مقالة

SN - 0025-5874

VL - 284

SP - 853

EP - 876

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

On (2, 4) complete intersection threefolds that contain an Enriques surface

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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