Spectral theory of isogeny graphs

Authors: Giulio Codogni, Guido Maria Lido

Source: Journal of Number Theory. 286:131-184

Subject Terms: 14K02, 14H52, 11F52, 05C48, 14G50, Isogeny graphs, Elliptic curves, Isogeny based cryptography, Expander graphs, Modular forms, Hecke operators, Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry, Algebraic Geometry (math.AG)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2308.13913
https://arxiv.org/abs/2308.13913
https://hdl.handle.net/2108/458043
https://doi.org/10.1016/j.jnt.2026.02.006

Rational points on a family of genus 3 hyperelliptic curves

Authors: Roberto Hernandez

Source: Journal of Number Theory. 286:67-90

Subject Terms: Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry, Algebraic Geometry (math.AG), 14G05 (Primary), 11Y50 (Secondary)

Access URL: http://arxiv.org/abs/2510.17791

Birational induction of nilpotent orbit covers in exceptional types

Authors: Matthew Westaway

Source: Westaway, M 2023 'Birational induction of nilpotent orbit covers in exceptional types' arXiv.

Subject Terms: math.AG, Rings and Algebras, 17B08 (Primary), 17B20, 22E60 (Secondary), Rings and Algebras (math.RA), FOS: Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), math.RA

File Description: application/pdf

Access URL: http://arxiv.org/abs/2312.01838
https://purehost.bath.ac.uk/ws/files/349754998/2312.01838v1.pdf
https://researchportal.bath.ac.uk/en/publications/22b555a7-3fae-4eb3-ab6c-8c2e8949a2d8

Bott vanishing via Hodge theory

Authors: Chuanhao Wei

Source: Journal of Algebra. 701:281-291

Subject Terms: Mathematics - Algebraic Geometry, 14M25, 14F17, 14C30, FOS: Mathematics, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2310.17380

The modified diagonal cycles of hypergeometric curves

Authors: Payman Eskandari, Yusuke Nemoto

Source: Journal of Number Theory. 286:280-300

Subject Terms: Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry, Algebraic Geometry (math.AG), 14C25, 14F25, 14H40

Access URL: http://arxiv.org/abs/2508.06008

Net logarithmic tangent sheaves of complete intersections

Authors: Sukmoon Huh, Min-Gyo Jeong

Source: Journal of Algebra. 701:477-506

Subject Terms: Mathematics - Algebraic Geometry, 14F06, 14J60, 14C34, 14M10, FOS: Mathematics, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2504.14617

Preperiodic points, finiteness, and structures of semigroups of algebraic morphisms

Authors: Thomas J. Tucker, Jason P. Bell

Source: Journal of Algebra. 700:517-532

Subject Terms: Primary: 20M05, Secondary: 14H37, 20D15, Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2508.09114

Upper bound of discrepancies of divisors computing minimal log discrepancies on surfaces

Authors: Chen, Bingyi

Source: Journal of Algebra. 700:69-86

Subject Terms: Mathematics - Algebraic Geometry, FOS: Mathematics, 0101 mathematics, 01 natural sciences, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2009.03613

Resurgence number of graded families of ideals

Authors: Hà, Tài Huy, Kumar, Arvind, Nguyen, Hop D., Nguyen, Thai Thanh

Source: Journal of Algebra. 700:468-516

Subject Terms: Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG), 13A18, 13A30, 12J20, 14A05

Access URL: http://arxiv.org/abs/2308.16410

Colengths of fractional ideals and Tjurina number of a reducible plane curve

Authors: Abramo Hefez, Marcelo Escudeiro Hernandes

Source: Journal of Algebra. 700:126-145

Subject Terms: Mathematics - Algebraic Geometry, FOS: Mathematics, 13H10, 14H20, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2409.11153

On the family of affine threefolds a(x)y = F(x,z,t)

Authors: Parnashree Ghosh, Neena Gupta, Ananya Pal

Source: Journal of Algebra. 700:267-288

Subject Terms: Mathematics - Algebraic Geometry, Primary: 14R10, Secondary: 13B25, 13A50, 13A02, FOS: Mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2403.17397

Simply connectedness and hyperbolicity

Authors: Carlo Gasbarri, Erwan Rousseau, Amos Turchet, Julie Tzu-Yueh Wang

Source: Journal of Number Theory. 285:194-208

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Number Theory, Mathematics - Complex Variables, FOS: Mathematics, Number Theory (math.NT), Complex Variables (math.CV), Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2308.13240

Counting rational points on Hirzebruch–Kleinschmidt varieties over global function fields

Authors: Sebastián Herrero, Tobías Martínez, Pedro Montero

Source: Journal of Number Theory. 285:1-53

Subject Terms: Mathematics - Algebraic Geometry, Mathematics - Number Theory, 14G05, 11G50, 11M41 (primary), 14M25, 11G35 (secondary), FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2408.07631

Closed orbits and descents for enhanced standard representations of classical groups

Authors: Liang, Chen

Source: Journal of Algebra. 700:1-26

Subject Terms: Representation Theory, Commutative Algebra, FOS: Mathematics, Representation Theory (math.RT), Commutative Algebra (math.AC), Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2507.21911
https://arxiv.org/abs/2507.21911

Construction of logarithmic cohomology theories II: On Chow groups

Authors: Doosung Park

Source: Journal of Algebra. 698:1-56

Subject Terms: FOS: Mathematics, K-Theory and Homology (math.KT), K-Theory and Homology, 14M25, 14C15, 14F42, Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: https://arxiv.org/abs/2503.12961
http://arxiv.org/abs/2503.12961

On the rank index of projective curves of almost minimal degree

Authors: Jaewoo Jung, Hyunsuk Moon, Euisung Park

Source: Journal of Algebra. 697:574-606

Subject Terms: 14A25, 14H45, 14N05, 15A63, 16E45, FOS: Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2411.17494

Algebraic surfaces as Hadamard products of curves

Authors: Dario Antolini, Edoardo Ballico, Alessandro Oneto

Source: Journal of Algebra. 697:725-735

Subject Terms: 14J25, 14M99, Hadamard products of algebraic varieties, Quadratic surfaces, Algebraic surfaces, FOS: Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: https://arxiv.org/abs/2502.18813
http://arxiv.org/abs/2502.18813

Tropical elliptic curves in 3-space

Authors: Casabella, Laura, Kastner, Lars, Vlad, Raluca

Source: Journal of Algebra. 698:373-388

Subject Terms: Combinatorics, 14T15, 52B20, 52B55, FOS: Mathematics, Combinatorics (math.CO), Algebraic Geometry, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/2507.21958

On matrices commuting with their Frobenius

Authors: Fabian Gundlach, Béranger Seguin

Source: Journal of Algebra. 697:63-105

Subject Terms: Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry, Algebraic Geometry (math.AG), 14G17, 15A27, 14M15

Access URL: http://arxiv.org/abs/2506.08695

Versal dg deformation of Calabi–Yau manifolds

Authors: Hayato Morimura

Source: Journal of Algebra. 697:243-311

Subject Terms: 14J32, FOS: Mathematics, 0101 mathematics, Algebraic Geometry, 01 natural sciences, Algebraic Geometry (math.AG)

Access URL: https://arxiv.org/abs/2111.11778
http://arxiv.org/abs/2111.11778