Commutative Algebra

Authors and titles for January 2025

[1] arXiv:2501.00809 [pdf, html, other]

Title: Initial ideals of weighted forms and the genus of locally Cohen-Macaulay curves

Alessio Sammartano, Enrico Schlesinger

Comments: 49 pages, 6 figures. Comments are welcome!

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[2] arXiv:2501.03407 [pdf, html, other]

Title: On finitary power monoids of linearly orderable monoids

Jiya Dani, Felix Gotti, Leo Hong, Bangzheng Li, Shimon Schlessinger

Comments: 21 pages

Subjects: Commutative Algebra (math.AC)

[3] arXiv:2501.03442 [pdf, html, other]

Title: Trace ideals, conductors, and ideals of finite (phantom) projective dimension

Kaito Kimura

Comments: 13 pages

Subjects: Commutative Algebra (math.AC)

[4] arXiv:2501.03797 [pdf, html, other]

Title: A common framework for test ideals, closure operations, and their duals

Neil Epstein, Rebecca R.G., Janet Vassilev

Comments: 24 pages. Comments welcome

Subjects: Commutative Algebra (math.AC)

[5] arXiv:2501.04357 [pdf, html, other]

Title: Generators of top cohomology

Manoj Kummini, Mohit Upmanyu

Comments: 16 pages

Subjects: Commutative Algebra (math.AC)

[6] arXiv:2501.04948 [pdf, html, other]

Title: Low-Rank Reduced Biquaternion Tensor Ring Decomposition and Tensor Completion

Hui Luo, Xin Liu, Wei Liu, Yang Zhang

Subjects: Commutative Algebra (math.AC)

[7] arXiv:2501.04990 [pdf, html, other]

Title: On the ascent of almost and quasi-atomicity to monoid semidomains

Victor Gonzalez, Felix Gotti, Ishan Panpaliya

Comments: 18 pages

Subjects: Commutative Algebra (math.AC)

[8] arXiv:2501.05573 [pdf, html, other]

Title: Euclidean domains with no multiplicative norms

Caleb J. Dastrup, Pace P. Nielsen

Subjects: Commutative Algebra (math.AC); Rings and Algebras (math.RA)

[9] arXiv:2501.05720 [pdf, html, other]

Title: SAGBI bases of subalgebras arising from finite distributive lattices

Akihiro Higashitani, Koji Matsushita, Koichiro Tani

Comments: 13 pages, 12 figures

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[10] arXiv:2501.05940 [pdf, html, other]

Title: Noetherian rings of non-local rank

Dmitry Kudryakov

Comments: 5 pages

Subjects: Commutative Algebra (math.AC)

[11] arXiv:2501.06028 [pdf, html, other]

Title: Improvements of convex-dense factorization of bivariate polynomials

Martin Weimann

Comments: 26 pages, 5 figures

Subjects: Commutative Algebra (math.AC)

[12] arXiv:2501.06415 [pdf, html, other]

Title: Pseudo-Frobenius numbers and defining ideals in stretched numerical semigroup rings

Do Van Kien, Naoyuki Matsuoka, Taiga Ozaki

Subjects: Commutative Algebra (math.AC)

[13] arXiv:2501.06696 [pdf, html, other]

Title: nil-$M$-Noetherian and nil-$M$-Artinian modules

Faranak Farshadifar

Subjects: Commutative Algebra (math.AC)

[14] arXiv:2501.07065 [pdf, html, other]

Title: Gr\"obner Cones for Finite Type Cluster Algebras

Nathan Ilten, Karolyn So

Comments: 39 pages

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[15] arXiv:2501.07319 [pdf, html, other]

Title: Edge ideals and their asymptotic syzygies

Antonino Ficarra, Ayesha Asloob Qureshi

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[16] arXiv:2501.07710 [pdf, other]

Title: Asymptotic regularity of graded family of ideals

Tai Huy Ha, Hop D. Nguyen, Thai Thanh Nguyen

Comments: Preliminary version, 102 pages, comments are welcome

Subjects: Commutative Algebra (math.AC)

[17] arXiv:2501.07829 [pdf, html, other]

Title: Restrictions on Hilbert coefficients give depths of graded domains

Cheng Meng

Subjects: Commutative Algebra (math.AC)

[18] arXiv:2501.08175 [pdf, other]

Title: Maximal green sequences for $\mathcal{Q}^N$ quivers

Jingmin Guo, Bing Duan, Yanfeng Luo

Subjects: Commutative Algebra (math.AC)

[19] arXiv:2501.08260 [pdf, html, other]

Title: Nearly Gorenstein numerical semigroups with five generators have bounded type

Alessio Moscariello, Francesco Strazzanti

Comments: Accepted for publication in Communications in Algebra

Subjects: Commutative Algebra (math.AC)

[20] arXiv:2501.09272 [pdf, other]

Title: Proof of the Casas-Alvero conjecture

Soham Ghosh

Comments: comments welcome

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[21] arXiv:2501.09437 [pdf, html, other]

Title: $L$-smooth factorization for Noetherian $F$-finite rings

Manuel Blickle, Daniel Fink

Comments: 19 pages

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[22] arXiv:2501.00130 (cross-list from math.AG) [pdf, html, other]

Title: King's Conjecture and Birational Geometry

Matthew R. Ballard, Christine Berkesch, Michael K. Brown, Lauren Cranton Heller, Daniel Erman, David Favero, Sheel Ganatra, Andrew Hanlon, Jesse Huang

Comments: 54 pages, 7 figures

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[23] arXiv:2501.01112 (cross-list from math.CO) [pdf, html, other]

Title: Connected ideals of chordal graphs

Kanoy Kumar Das, Amit Roy, Kamalesh Saha

Comments: 14 pages, 1 figure

Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC)

[24] arXiv:2501.01682 (cross-list from math.AG) [pdf, other]

Title: Hilbert Scheme of a Pair of Skew Lines on a Cubic Hypersurface

Yilong Zhang

Comments: 30 pages, 2 figures, comments welcome

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[25] arXiv:2501.01807 (cross-list from math.AG) [pdf, html, other]

Title: Some remarks on plane curves related to freeness

Alexandru Dimca

Comments: v4: Theorem 4.6 contains now in addition a new upper bound for the second exponent $d_2$

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Combinatorics (math.CO)

[26] arXiv:2501.02574 (cross-list from math.AG) [pdf, html, other]

Title: Multiple Lines of Maximum Genus in $\mathbb{P}^3$

Enrico Schlesinger

Comments: 12 pages

Journal-ref: Mediterranean Journal of Mathematics,Volume 21, article number 72, (2024) pp. 1-15

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[27] arXiv:2501.02783 (cross-list from math.AG) [pdf, html, other]

Title: Derived characterizations for rational pairs \`{a} la Schwede-Takagi and Koll\'{a}r-Kov\'{a}cs

Pat Lank, Peter McDonald, Sridhar Venkatesh

Comments: v1, comments welcome!

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[28] arXiv:2501.05189 (cross-list from math.AG) [pdf, html, other]

Title: The{N/D}-Conjecture for Nonresonant Hyperplane Arrangements

Baiting Xie, Chenglong Yu

Comments: 16 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Combinatorics (math.CO)

[29] arXiv:2501.05375 (cross-list from math.NT) [pdf, html, other]

Title: Some factorization results for formal power series with integer coefficients

Rishu Garg, Jitender Singh

Comments: 10 pages

Subjects: Number Theory (math.NT); Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[30] arXiv:2501.06217 (cross-list from math.AG) [pdf, html, other]

Title: Analysis of kinematics of mechanisms containing revolute joints

Jukka Tuomela

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Numerical Analysis (math.NA)

[31] arXiv:2501.06361 (cross-list from math.AG) [pdf, html, other]

Title: Castelnuovo-Mumford Regularity over Scrolls and Splitting Criteria

F. Malaspina, G. Sankaran

Comments: 18 pages

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[32] arXiv:2501.06960 (cross-list from math.AG) [pdf, html, other]

Title: Explicit constructions of short virtual resolutions of truncations

Lauren Cranton Heller

Comments: 13 pages, 5 figures

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[33] arXiv:2501.07528 (cross-list from math.AG) [pdf, html, other]

Title: Plus-pure thresholds of some cusp-like singularities in mixed characteristic

Hanlin Cai, Suchitra Pande, Eamon Quinlan-Gallego, Karl Schwede, Kevin Tucker

Comments: 15 pages, 1 table, 1 figure

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[34] arXiv:2501.09613 (cross-list from math.AG) [pdf, html, other]

Title: Algebraic families of higher dimensional $\mathbb{A}^{1}$-contractible affine varieties non-isomorphic to affine spaces

Adrien Dubouloz, Parnashree Ghosh

Comments: Comments are welcome

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)