arXiv math.AGの新着論文35本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-24/

1. McMullen's Curve, the Weil Locus, and the Hodge Conjecture for Abelian Sixfolds
2. On the distribution of mixed Hodge loci
3. Counting points on braid varieties and the Deligne--Simpson problem
4. Low degree points on singular plane curves
5. Lagrangian classes in K-theory
6. Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
7. An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions
8. Semiprojectivity and very stability in moduli of symplectic and orthogonal parabolic Higgs bundles
9. Motivic Cohomology and K-groups of varieties over higher local fields
10. Solid Amoebas of Maximally Sparse Polynomials
11. A canonicity criterion for toric varieties and the classification of canonical 4-simplices
12. The intrinsic approach to moduli theory
13. A perturbative algorithm for flat F-manifolds associated with Landau-Ginzburg models
14. On the discriminant locus of a generic projection
15. On superspecial hyperelliptic curves of genus 5 whose automorphism groups contain $(\mathbb{Z}/2\mathbb{Z})^3$
16. Polyptych lattices and marked chain-order polytopes
17. Neutral representations of finite diagonalizable group schemes and fields of moduli
18. Constructions for rational multiple planes
19. A Matrix Rank Formula for Vector Bundles of Vertex Operator Algebra Coinvariants and Conformal Blocks
20. Geometric helices on del Pezzo surfaces from tilting
21. The exceptional locus of a motivic local system
22. Weil restriction, normal bundles and motivic Thom spaces
23. Generalized Eigenvectors and Rayleigh bounds for tropical algebraic eigenvalues
24. Neutral-Fermion constructions of factorial $gp$-and $gq$-Functions
25. Deligne--Lusztig varieties, toric orbifolds, and the $q$-Klyachko algebra
26. An analytic approach to $P$-adic diffeomorphism group and Teichm\"{u}ller theory
27. Generalizing Saito's Criterion for Nonfree Arrangements
28. Buchstaber, Ochanine, Krichever, and Witten genera
29. Rigidity of Lyapunov exponents for polynomials
30. SDP Feasibility Problems and sos Representation Ranks for OT-FKM Type Isoparametric Polynomials
31. Moment inequalities for Chow polynomials of matroids and bounds on Chern numbers
32. Critical CoHAs, vertex coalgebras and Deformed Drinfeld coproducts
33. Abelian Galois cohomology of quasi-connected reductive groups
34. Kodaira-Iitaka dimension and multiplicity: an analytic perspective
35. Cyclotomic generating functions, empty weighted complete intersections and positivity

arXiv math.AGの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-23/

1. Formal splitting and stack-theoretic normal crossings desingularization
2. Weierstrass gap sequences and their weights on tropical curves
3. Semisimple derivations, rational slice and kernels over affine domains
4. A Dimension Bound for Symmetrizer Groups of Projective Hypersurfaces
5. The log homotopy exact sequence
6. Existence of minimal del Pezzo surfaces of degree 1 with conic bundles over finite fields
7. Integrable Systems for Generalized Toric Polygons and Higgsed 5d N=1 Theories
8. Automorphisms of finite fields from isogeny cycles
9. Computation and sampling for Schubert specializations

arXiv math.AGの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-20/

1. The Geometry of Polycons and a Counterexample to Wachspress' Conjecture
2. The Legend of Masaki Kashiwara and Algebraic Analysis
3. Decorated Local Systems and Character Varieties
4. The Simplicity of the Hodge Bundle
5. The Euler Stratification for $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^n$
6. $R$-equivalence on Cubic Surfaces I: Existing Cases with Non-Trivial Universal Equivalence
7. Castelnuovo-Mumford regularity of toric varieties with at most one singular point
8. Close fields, affine Springer fibers and fundamental lemmas
9. Bass numbers of local cohomology modules at the first and last non-vanishing levels
10. Characterizing almost Cohen-Macaulay $3$-generated ideals of codimension $2$ in terms of prescribed shift
11. Gamma positivity, PL homeomorphism types, and orthogonal polynomials

arXiv math.AGの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-19/

1. Maximal Infinitesimal Variation of Hodge Structure for Singular Curves
2. $I$-Maximal Variation of Hodge Structure and Jacobian Rings
3. Certifying Galois/monodromy Actions via Homotopy Graphs
4. On generalized canonical bundle formula and boundedness of complements in complex analytic setting
5. Quantum cohomology and irrationality of Gushel-Mukai fourfolds
6. Moduli spaces and the algebra of conformal blocks
7. Nets of quadric surfaces and plane cubics and their GIT stability
8. Semi-finite vector bundles on complex tori
9. Affineness of the maximal \'{e}tale locus
10. A Real Shafarevich Conjecture for Universal Covers
11. The Jacobi Bound Conjecture for Generically Reduced Differential Schemes
12. The Dimension Conjecture Implies The Jacobi Bound Conjecture
13. Tangent spaces of spherical Schubert varieties and a counterexample to the reducedness conjecture
14. Decidability of singularities in the Ekedahl--Oort stratification
15. Ambidextrous global spectra and tempered cohomology
16. Mysterious points in keys but not trees

arXiv math.AGの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-18/

1. Eigenforms and graphs of Hecke operators with wild ramification
2. Lawson homology groups of Chow varieties
3. Algebraicity of supermoduli of curves via Artin's criteria
4. A Quadratically Enriched Count Of Lines In Smooth Del Pezzo Surfaces Of Degree 2 And 4
5. Realizations of 1-motives over a scheme of characteristic 0
6. The cohomology of Hyperquot schemes on curves via shifted Yangians in type A
7. Fourier transform of irregular connections on $\mathbb P^1$ and classification of Argyres-Douglas theories
8. Computing the connected components of real algebraic curves
9. Relating Hodge Atoms, Spectral Triples, and BPS Flows

arXiv math.AGの新着論文21本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-17/

1. An algorithm for the minimal model program in dimension three
2. Localization and coalescence of condensed ringed spaces
3. When is one pinhole camera image equal to some other pinhole camera image?
4. Transcendental b-divisors I -- Correspondence with currents
5. Transcendental b-divisors II -- Monotonicity theorem
6. Two-step nilpotent monodromy of local systems on special varieties
7. Characteristic cycles of real and complex constructible sheaves, revisited
8. On the strong base locus of a projective variety
9. Deep Reinforcement Learning for Fano Hypersurfaces
10. Logarithmic spectral correspondence for $V$--twisted Higgs bundles on punctured curves
11. On the separation \L ojasiewicz exponent of real semi-analytic sets in two dimension spaces
12. On some invariants of hypersurface singularities
13. The Effective Lasserre's Perturbative Positivstellensatz
14. On the twistor spaces of ALE gravitational instantons of type $A_{\rm odd}$
15. A simplified proof of the o-minimal Whitney Extension Theorem
16. A new model for the quantum mechanics of the Hydrogen atom
17. CrossADR: enhancing adverse drug reactions prediction for combination pharmacotherapy with cross-layer feature integration and cross-level associative learning
18. Homomorphisms of topological rings and change-of-scalar functors
19. On uniform large genus asymptotics of Witten's intersection numbers
20. Galois Covers of Calabi-Yau Quivers and BPS State Counting
21. $p$-adic $L$-functions for Hecke characters of totally imaginary fields

arXiv math.AGの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-16/

1. Almost TQFTs via colored ribbon graphs
2. A Curve of Secants to the Kummer Variety from Degenerated Points
3. A Tate-Type Theorem for Crystalline Classes in the 1-Motivic Category
4. Mapping class group action on the cohomology of the $\mathrm{SL}_n$ character variety
5. Real line subbundles of real bundles on curves
6. Drawing real plane algebraic curves in OSCAR
7. Higher Fitting ideals and the structure of anticyclotomic Shafarevich-Tate groups
8. Weighted Veronese Rings via Convex Semigroups
9. Regular pullback of generalized cluster structures
10. Derived geometric Satake equivalence on the Beilinson-Drinfeld Grassmannian with one leg in mixed characteristic
11. On Moy-Prasad quotients over Laurent series fields
12. Jacobian graphs

arXiv math.AGの新着論文13本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-13/

1. Enumerative geometry of $K3$ surfaces
2. Microlocal index theorems and analytic torsion invariants in the geometric theory of partial differential equations
3. Refined enumerative invariants and mixed Welschinger invariants
4. Constructing Maximal Cohen-Macaulay Sheaves on Symplectic Singularities
5. Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components
6. Cylinders in weighted Fano varieties
7. The genus of configuration curves of planar linkages is generically odd
8. Comparison of Motivic Homotopy Theories
9. Holes in Calabi-Yau Effective Cones
10. A counterexample to Fermi isospectral rigidity for two dimensional discrete periodic Schr\"odinger operators
11. Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields
12. Duality and decoding of linearized Algebraic Geometry codes
13. Single-View Rolling-Shutter SfM

arXiv math.AGの新着論文9本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-12/

1. Vector bundles over certain Koras-Russell threefolds of the third kind
2. Classification of Poor Manifolds in Low dimensions
3. Kalinin Effectivity and Wonderful Compactifications
4. Positivity of polynomials on the nonnegative part of certain affine hypersurfaces
5. Motives, cohomological invariants and Freudenthal magic square
6. Real Line Congruences of Trilinear Birational Maps
7. The Chow motive of LSV hyper-K\"alher manifolds
8. The Kobayashi-Hitchin correspondence for nef and big classes
9. Geometric, algebraic and analytic properties of hyperelliptic $\mathrm{al}_{ab}$ function

arXiv math.AGの新着論文12本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-11/

1. Cycles on splitting models of Shimura varieties
2. On the height boundedness of periodic and preperiodic points of dominant rational self-maps on projective varieties
3. Stable Degenerations of log Fano Fibration Germs
4. Semi-rigid stable sheaves: a criterion and examples
5. Ulrich bundles on smooth toric threefolds with Picard number $2$
6. Picard groups of completed period images and the Deng-Robles problem
7. Linear Code Equivalence via Pl\"ucker Coordinates
8. Crystal Melting, Triality and Partition Functions for Toric Calabi-Yau Fourfolds
9. Determinantal computation of minimal local GADs
10. Specialized Simpson's main estimates for cyclic harmonic $G$-bundles
11. Frobenius structure on rigid connections and arithmetic applications
12. The ABCT Variety $V(3,n)$ is a Positive Geometry