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A New Invariant of Lattice polytopes
- Publication Year :
- 2023
-
Abstract
- The maximal degree of monomials belonging to the unique minimal system of monomial generators of the canonical module $\omega(K[{\mathcal P}])$ of the toric ring $K[{\mathcal P}]$ defined by a lattice polytope ${\mathcal P}$ will be studied. It is shown that if ${\mathcal P}$ possesses an interior lattice point, then the maximal degree is at most ${\rm dim} {\mathcal P} - 1$, and that this bound is the best possible in general.
- Subjects :
- Mathematics - Commutative Algebra
Mathematics - Combinatorics
52B20, 05E40
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2311.11042
- Document Type :
- Working Paper