The virtual resolutions package for Macaulay2

Ayah Almousa; Juliette Bruce; Michael Loper; Mahrud Sayrafi

doi:10.2140/jsag.2020.10.51

The virtual resolutions package for Macaulay2

Ayah Almousa
, Juliette Bruce
, Michael Loper
, Mahrud Sayrafi

Mathematics

Producción científica: Article › revisión exhaustiva

10 Citas (Scopus)

Resumen

We introduce the VirtualResolutions package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating curves in ℙ¹ × ℙ², providing sources of interesting virtual resolutions.

Idioma original	English
Páginas (desde-hasta)	51-60
Número de páginas	10
Publicación	Journal of Software for Algebra and Geometry
Volumen	10
N.º	1
DOI	https://doi.org/10.2140/jsag.2020.10.51
Estado	Published - 2020

Nota bibliográfica

Publisher Copyright:
© 2020, Mathematical Sciences Publishers. All rights reserved.

Financiación

Work on this article and the associated Macaulay2 package began at the Macaulay2 Workshop at the University of Wisconsin - Madison funded by NSF grant DMS-1812462. Additional progress was made during the Graduate Workshop in Commutative Algebra for Women and Mathematicians of Minority Genders funded by NSF grant DMS-1908799. The final portion of this article and package was written during a Coding Sprint hosted by the Institute for Mathematics and its Applications (IMA), and we are grateful for their hospitality. Almousa was partially supported by the NSF GRFP under Grant No. DGE-1650441. Bruce was partially supported by the NSF GRFP under Grant No. DGE-1256259 and NSF grant DMS-1502553. Loper was partially supported by the NSF RTG grant DMS-1745638. MSC2010: 13D02, 14M25. Keywords: virtual resolution, products of projective spaces, toric varieties, free resolutions. VirtualResolutions version 1.2

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	1812462, DMS-1812462, DGE-1256259, 14M25, DMS-1908799, DMS-1745638, 13D02, 1256259, 1502553, 1908799, DMS-1502553, MSC2010, 1745638, DGE-1650441

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Discrete Mathematics and Combinatorics
Geometry and Topology

Acceder al documento

10.2140/jsag.2020.10.51

Otros archivos y enlaces

Citar esto

@article{2255b66e57504a818af09954d314a872,

title = "The virtual resolutions package for Macaulay2",

abstract = "We introduce the VirtualResolutions package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating curves in ℙ1 {\texttimes} ℙ2, providing sources of interesting virtual resolutions.",

keywords = "free resolutions, products of projective spaces, toric varieties, virtual resolution",

author = "Ayah Almousa and Juliette Bruce and Michael Loper and Mahrud Sayrafi",

year = "2020",

doi = "10.2140/jsag.2020.10.51",

language = "English",

volume = "10",

pages = "51--60",

journal = "Journal of Software for Algebra and Geometry",

issn = "1948-7916",

publisher = "Mathematical Sciences Publishers",

number = "1",

}

TY - JOUR

T1 - The virtual resolutions package for Macaulay2

AU - Almousa, Ayah

AU - Bruce, Juliette

AU - Loper, Michael

AU - Sayrafi, Mahrud

PY - 2020

Y1 - 2020

N2 - We introduce the VirtualResolutions package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating curves in ℙ1 × ℙ2, providing sources of interesting virtual resolutions.

AB - We introduce the VirtualResolutions package for the computer algebra system Macaulay2. This package has tools to construct, display, and study virtual resolutions for products of projective spaces. The package also has tools for generating curves in ℙ1 × ℙ2, providing sources of interesting virtual resolutions.

KW - free resolutions

KW - products of projective spaces

KW - toric varieties

KW - virtual resolution

UR - https://www.scopus.com/pages/publications/85108508147

UR - https://www.scopus.com/pages/publications/85108508147#tab=citedBy

U2 - 10.2140/jsag.2020.10.51

DO - 10.2140/jsag.2020.10.51

M3 - Article

AN - SCOPUS:85108508147

SN - 1948-7916

VL - 10

SP - 51

EP - 60

JO - Journal of Software for Algebra and Geometry

JF - Journal of Software for Algebra and Geometry

IS - 1

ER -

The virtual resolutions package for Macaulay2

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto