Quasiphantom categories on a family of surfaces isogenous to a higher product

Hyun Kyu Kim; Yun Hwan Kim; Kyoung Seog Lee

doi:10.1016/j.jalgebra.2016.11.020

Quasiphantom categories on a family of surfaces isogenous to a higher product

Hyun Kyu Kim
, Yun Hwan Kim
, Kyoung Seog Lee

Department of Mathematics

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

2 Scopus citations

Abstract

We construct exceptional collections of line bundles of maximal length 4 on S=(C×D)/G which is a surface isogenous to a higher product with p_g=q=0 where G=G(32,27) is a finite group of order 32 having number 27 in the list of Magma library. From these exceptional collections, we obtain new examples of quasiphantom categories as their orthogonal complements.

Original language	English
Pages (from-to)	591-606
Number of pages	16
Journal	Journal of Algebra
Volume	473
DOIs	https://doi.org/10.1016/j.jalgebra.2016.11.020
State	Published - 1 Mar 2017

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

Derived categories
Exceptional collections
Quasiphantom categories
Surfaces isogenous to a higher product

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10.1016/j.jalgebra.2016.11.020

Cite this

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title = "Quasiphantom categories on a family of surfaces isogenous to a higher product",

abstract = "We construct exceptional collections of line bundles of maximal length 4 on S=(C×D)/G which is a surface isogenous to a higher product with pg=q=0 where G=G(32,27) is a finite group of order 32 having number 27 in the list of Magma library. From these exceptional collections, we obtain new examples of quasiphantom categories as their orthogonal complements.",

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AU - Kim, Yun Hwan

AU - Lee, Kyoung Seog

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N2 - We construct exceptional collections of line bundles of maximal length 4 on S=(C×D)/G which is a surface isogenous to a higher product with pg=q=0 where G=G(32,27) is a finite group of order 32 having number 27 in the list of Magma library. From these exceptional collections, we obtain new examples of quasiphantom categories as their orthogonal complements.

AB - We construct exceptional collections of line bundles of maximal length 4 on S=(C×D)/G which is a surface isogenous to a higher product with pg=q=0 where G=G(32,27) is a finite group of order 32 having number 27 in the list of Magma library. From these exceptional collections, we obtain new examples of quasiphantom categories as their orthogonal complements.

KW - Derived categories

KW - Exceptional collections

KW - Quasiphantom categories

KW - Surfaces isogenous to a higher product

UR - https://www.scopus.com/pages/publications/85028238725

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DO - 10.1016/j.jalgebra.2016.11.020

M3 - Article

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SN - 0021-8693

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SP - 591

EP - 606

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Quasiphantom categories on a family of surfaces isogenous to a higher product

Abstract

Bibliographical note

Keywords

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Cite this