Graded Cohen–Macaulay Domains and Lattice Polytopes with Short h-Vector

Author:

Katthän Lukas,Yanagawa KohjiORCID

Funder

JSPS Grant-in-Aid for Scientific Research

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference16 articles.

1. Beck, M., Robins, S.: Computing the Continuous Discretely. Undergraduate Texts in Mathematics. Springer, New York (2007)

2. Bruns, W., Gubeladze, J.: Polytopes, Rings, and $$K$$-Theory. Springer Monographs in Mathematics. Springer, Dordrecht (2009)

3. Bruns, W., Herzog, J.: Cohen–Macaulay Rings. Cambridge Studies in Advanced Mathematics, vol. 39. Cambridge University Press, Cambridge (1993)

4. Bruns, W., Ichim, B., Römer, T., Sieg, R., Söger, Ch.: Normaliz. Algorithms for Rational Cones and Affine Monoids. https://www.normaliz.uni-osnabrueck.de

5. Conca, A., Iyengar, S.B., Nguyen, H.D., Römer, T.: Absolutely Koszul algebras and the Backelin–Roos property. Acta Math. Vietnam. 40(3), 353–374 (2015)

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1. Hyperplane sections of non-standard graded rings;Communications in Algebra;2024-05-15

2. Castelnuovo Polytopes;Michigan Mathematical Journal;2022-01-01

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