An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring

Christine Berkesch; C. Y.Jean Chan; Patricia Klein; Laura Felicia Matusevich; Janet Page; Janet Vassilev

doi:10.1007/978-3-030-91986-3_3

An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring

Christine Berkesch, C. Y.Jean Chan, Patricia Klein, Laura Felicia Matusevich, Janet Page, Janet Vassilev

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

Through examples, we illustrate how to compute differential operators on a quotient of an affine semigroup ring by a radical monomial ideal, when working over an algebraically closed field of characteristic 0.

Original language	English (US)
Title of host publication	Association for Women in Mathematics Series
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	49-94
Number of pages	46
DOIs	https://doi.org/10.1007/978-3-030-91986-3_3
State	Published - 2021

Publication series

Name	Association for Women in Mathematics Series
Volume	29
ISSN (Print)	2364-5733
ISSN (Electronic)	2364-5741

Bibliographical note

Funding Information:
We are grateful to the organizers, Karen Smith, Sandra Spiroff, Irena Swanson, and Emily E. Witt, of Workshop: Women in Commutative Algebra (WICA), at which this work began. Additionally, we are thankful to BIRS for their hospitality in hosting this meeting. We also owe thanks to Jack Jeffries, who pointed us to an example that improved our work. We truly appreciate the comments of the referee which added extra insight into our work and greatly improved the paper.

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Differential operators
Quotient
Reduced
Semigroup ring
Toric
Toric variety

Publisher link

10.1007/978-3-030-91986-3_3

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Berkesch, C., Chan, C. Y. J., Klein, P., Matusevich, L. F., Page, J., & Vassilev, J. (2021). An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring. In Association for Women in Mathematics Series (pp. 49-94). (Association for Women in Mathematics Series; Vol. 29). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-91986-3_3

An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring. / Berkesch, Christine; Chan, C. Y.Jean; Klein, Patricia et al.
Association for Women in Mathematics Series. Springer Science and Business Media Deutschland GmbH, 2021. p. 49-94 (Association for Women in Mathematics Series; Vol. 29).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Berkesch, C, Chan, CYJ, Klein, P, Matusevich, LF, Page, J & Vassilev, J 2021, An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring. in Association for Women in Mathematics Series. Association for Women in Mathematics Series, vol. 29, Springer Science and Business Media Deutschland GmbH, pp. 49-94. https://doi.org/10.1007/978-3-030-91986-3_3

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An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring

Abstract

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Keywords

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