The Lex-Plus-Powers Conjecture holds for pure powers
Jeff Mermin, Satoshi Murai
TL;DR
This paper proves Evans' Lex-Plus-Powers Conjecture for a class of ideals containing a monomial regular sequence, advancing understanding in algebraic combinatorics.
Contribution
It establishes the conjecture for ideals with pure powers, a significant case previously unresolved.
Findings
Conjecture holds for ideals with monomial regular sequences
Extends the class of ideals satisfying the Lex-Plus-Powers Conjecture
Provides new techniques for algebraic combinatorics proofs
Abstract
We prove Evans' Lex-Plus-Powers Conjecture for ideals containing a monomial regular sequence.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic structures and combinatorial models