プレプリどんどん: math.AG

arXiv math.AGの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-10/

1. A note on the self-intersection of rational unicuspidal curve with one Puiseux pair
2. Initial Ideals, Low-degree Foliations and the Hilbert Scheme of Points on $\mathbb{CP}^{2}$: A First Approach
3. Projective Foliations with a Unique Singular Point and Maximum Algebraic Multiplicity
4. Cohomology Vanishing, Koszul Cohomology and Multigraded Regularity on Projective Varieties
5. A Deep Dive Into the Tangent Category of Schemes
6. The basic tropical polynomials generate the semifield of $r$-symmetric tropical rational functions
7. The logarithmic $h$- and $v$-topologies
8. The cohomology groups of finite cyclic covers of complexified real arrangement complements
9. Real morsifications via the trace map
10. Mirrors to toric degenerations via intrinsic mirror symmetry
11. New symplectic singularities from $SU(2)$ gauge theories
12. A Kohno--Drinfeld Theorem for iquantum Weyl groups
13. A combinatorial rule for $GL$-multiplicities of $A_n$-quiver loci
14. Modularity of Higher Theta Series III: Proof of the Modularity Conjecture
15. Tilting Mutations and Quiver-Invariant Dualities in Brane Tilings

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/2026-08-07/

1. Iwahori Fundamental Local Equivalence
2. Smooth affine surfaces properly dominated by $\mathbf{C}^*\times\mathbf{C}^*$
3. Prym--Tyurin varieties coming from intermediate coverings of curves
4. On the topology of fibers of complex polynomial maps
5. Frobenius--Witt cotangent complex for derived rings
6. The Gromov width of generalized Bott-Samelson manifolds
7. A characterization of ball quotient stacks
8. Schematic Functorialities of Birational Motivic Homotopy Categories
9. Joyce's invariant and Virasoro Constraints for Quot schemes on curves
10. Higher-dimensional Virasoro algebras
11. McKay correspondence for linearly reductive finite group schemes in positive characteristic
12. Visualization of Complex Projective Curves
13. Behrend function and blowup algebras
14. Filtrations in $\mathbb{C}$-motivic stable homotopy theory
15. Dualizable Additive Categories
16. Combinatorial and algebraic proofs of Keller's $A_2\square A_2$ $q$-dilogarithm identity

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/2026-08-06/

1. Iwahori Fundamental Local Equivalence
2. Smooth affine surfaces properly dominated by $\mathbf{C}^*\times\mathbf{C}^*$
3. Prym--Tyurin varieties coming from intermediate coverings of curves
4. On the topology of fibers of complex polynomial maps
5. Frobenius--Witt cotangent complex for derived rings
6. The Gromov width of generalized Bott-Samelson manifolds
7. A characterization of ball quotient stacks
8. Schematic Functorialities of Birational Motivic Homotopy Categories
9. Joyce's invariant and Virasoro Constraints for Quot schemes on curves
10. Higher-dimensional Virasoro algebras
11. McKay correspondence for linearly reductive finite group schemes in positive characteristic
12. Visualization of Complex Projective Curves
13. Behrend function and blowup algebras
14. Filtrations in $\mathbb{C}$-motivic stable homotopy theory
15. Dualizable Additive Categories
16. Combinatorial and algebraic proofs of Keller's $A_2\square A_2$ $q$-dilogarithm identity

arXiv math.AGの新着論文17本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-05/

1. A Dimension-Two Counterexample to the Separable Jacobian Conjecture in Characteristic Two
2. Hulls, linear equivalence, and weighted superelliptic codes
3. Orbits and Fields of Definition for Graded Keller Maps
4. Murphy's law in non-abelian Hodge theory
5. Unifying singular value decompositions of tensors via aligned orthogonality
6. Unirationality is the same thing as Rational Connectedness in Characteristic Zero
7. A klt generalized pair with infinitely generated canonical ring
8. On Fano indices of weighted projective spaces
9. Singularities of Amoeba Contours
10. Cusps and nodes of Amoeba Contours
11. The period-index conjecture is false
12. The extended Fargues--Scholze spectral action
13. Generic Recovery of Permittivity and Permeability in Anisotropic Maxwell Systems
14. Identifiability of phylogenetic networks and quintet concordance factors
15. CscK metrics on birational models of projective varieties
16. Permutation Decoding of AG Codes from Curves Defined by Separated Polynomials
17. Non-split Cartan curves and a characterization of fake elliptic curves

arXiv math.AGの新着論文36本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-08-04/

1. Counterexamples to the Jacobian conjecture in dimensions greater than two
2. Localization and elliptic motivic relations
3. Uniform stratified vanishing and equidistribution on $\mathbb{G}_m^d$
4. Triple Hodge integrals and constant Poisson brackets for rank-one Dubrovin-Zhang hierarchies
5. Arithmetic hypergeometric $\mathcal {D}$-modules and exponential sums on reductive groups
6. Torus-enriched Motivic Bruhat Complexes and Maximal Compact Groups
7. A cusp surface singularity is Frobenius liftable
8. Nash structure of curves over a valued field and tame henselian rationality
9. Tannakian reconstruction in derived algebraic geometry
10. On the Datar-Mete-Song minimal slope conjecture
11. Moduli spaces of varieties of general type are naturally of log general type
12. Stability of normal bundles of Brill--Noether curves in $\mathbb{P}^4$
13. Square-integrability of holomorphic differential forms on locally symmetric varieties
14. Finite abelian subgroups of algebraic groups
15. Monodromy action on character varieties for Lefschetz pencils
16. Numerical Irreducible Decomposition in Julia
17. Log Calabi--Yau structure for endomorphisms on $\mathbf{P}^n$
18. Comparing local-global obstructions on algebraic stacks
19. Neighborhoods of curves with a prescribed number of foliations
20. Oka complements of cubic hypersurfaces
21. Adjacent non-stable layers in the $\mathbb{A}^1$-homotopy of the special linear tower
22. A counterexample to Han's conjecture
23. Explicit description of certain 3-point K-theoretic Gromov-Witten invariants for flag manifolds
24. Renormalizations in holomorphic field theories on K\"ahler manifolds
25. Fundamental examples of height functions on closed manifolds and their 1st derivatives
26. The equality case of Ehrhart's volume conjecture
27. Dualizing and canonical complexes on finite posets II: properness
28. Weights in \'etale cohomology over mixed-characteristic local fields and applications to anabelian geometry
29. Discriminant Varieties for Stick Knots and Links
30. A uniform decomposition theorem for invariant differential operators on imprimitive complex reflection groups G(r,p,n)
31. The cubic threefold is symplectically irrational
32. Beyond $K$-Theory: Geometry and Holomorphy in Hyperbolic Band Theory
33. Hilbert Series and Logarithmic Degrees of $A$-Hypergeometric Series
34. $q$-Deformed Topological Recursion: Quantum Curves and Non-perturbative Analysis
35. Isogeny graphs of elliptic curves in characteristic zero
36. Automorphic functions for square-zero extensions of curves over finite fields

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/2026-08-03/

1. Notes on the Kuznetsov component of cubic sevenfolds
2. Cellular $\mathbb{A}^1$-homology of wonderful models of subspace arrangements
3. On isotrivial cone structures of highest weight type
4. A quadratically enriched count of lines on a smooth del Pezzo surface of degree 5
5. Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications
6. The motivic Lie algebra embeds into the cohomology of the general linear group
7. Alternating Quinary Cores of Complete Atomic Ternary $\Gamma$-Semirings: Representation, Binary-Collapse Rigidity, and Witness Geometry
8. On totally symplectically aspherical manifolds
9. An extension theorem in terms of adjoint ideal sheaves
10. Small Resultant Systems via Linear Combinations
11. Regular Borel subalgebras of the Lie Algebra of Aut($\mathbb{A}^2$)

arXiv math.AGの新着論文8本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-31/

1. Sharp Bounds for Totally Invariant Cycles of Projective Varieties
2. Families of curves separating points
3. Logarithmic Lefschetz fixed point formulae and resonant boundary indices
4. Log Canonical Models and Positive Geometries
5. Stability conditions and moduli spaces on projective families
6. Boundedness of polarized foliated surfaces
7. Local cohomology modules with nonclosed support
8. Transcendental Hilbert-Kunz Multiplicities

arXiv math.AGの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-30/

1. A Riemann-Roch theorem for Frobenius quotients
2. Algebraic vs. analytic: a survey
3. Higher dimensional dominoes in de Rham-Witt cohomology
4. Twelve common flex lines in a general pencil of cubics
5. An atomic criterion for irrationality without quantum computations
6. Image Recognition via Vaisman--Neifeld's Geometry
7. On the Betti numbers, Poincar\'e polynomials, and Euler characteristics of $\overline{\mathcal M}_{0,n}$
8. Fundamental group schemes of globally F-regular varieties
9. A non-holomorphic P=W phenomenon
10. Splitting Brauer classes by genus one curves over number fields
11. Removing the Torsion-free Hypothesis in a Positivity Theorem on Deligne-Mumford Stacks
12. The finite degree formula for normalized volumes
13. On the boundedness of elliptic Calabi-Yau 4-folds
14. Balanced Metrics Know About SYZ
15. Exploring a local variant of the Buchsbaum--Eisenbud--Horrocks conjecture

arXiv math.AGの新着論文15本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-29/

1. On the K\"ahler MMP and the transcendental base-point-free theorem
2. A counterexample to a conjecture of Duncan on versal actions
3. The Miyaoka-Yau inequality and the delta invariant for Fano varieties
4. Analytic Bertini theorem II --- The local case
5. A smooth projective counterexample to Bondal-Polishchuk's conjecture
6. Categorical absorptions of cone singularities
7. Type A Nilpotent Hessenberg varieties with Hessenberg function $h(i)\le i+1$
8. Instanton slices and their superpolynomials
9. A Hodge Theoretic Generalization of $\mathbb{Q}$-Homology Manifolds II: Local Complete Intersections
10. The Cautis-Logvinenko conjecture
11. Diagonal cycles on Shtukas and the adjoint $L$-function
12. Calabi-Yau Deformation Quantization
13. Many-point tropical relaxation and the Monge--Amp\`ere equation
14. Intersection Cohomology of Igusa Stacks
15. Isotropic Decompositions via Inverse Eigenvectors

arXiv math.AGの新着論文23本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-07-28/

1. Corrigendum to "Nonsymplectic automorphisms of prime order on O'Grady's sixfolds"
2. K-theory of Weighted Blowups
3. De Rham-Betti Groups of Some Abelian Fourfolds
4. Unramified Motivic Multiple Mixed Values
5. Sylow Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces
6. Actions of $(\mathbb{Z}/4)^4$ on rationally connected threefolds
7. The Chow Characteristic Image of \(\Spin(10)\) via the Affine Cone over the Spinor Variety
8. Projective moduli of log Calabi--Yau fibrations over curves
9. Stratified motivic invariants and bivariate deformations of Poincar\'e polynomials
10. Biangular lines with angles arccos(1/5) and arccos(3/5)
11. Roots of Bernstein-Sato polynomials for projective hypersurfaces with ordinary double points
12. From Regions to Hodge Structures: The Topological Study of semialgebraic Curves Configurations
13. Simply branched covers of curves and wild conductor exponents
14. Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms
15. Local and 2-Local automorphisms of n-dimensional totally graded filiform Lie algebras
16. Matrix Kloosterman sums and product-trace estimates for semisimple algebras
17. The loop-nilpotent cohomological Hall algebra
18. Engineered Complete Intersections: Algorithmic Aspects
19. Complex Analysis and Existence Problems for plane Graphs
20. Kazhdan--Lusztig polynomials of matroids need not be unimodal
21. Aomoto interpolation and Coxeter systems
22. Symplectic resolutions of moduli spaces of $G$-Higgs bundles
23. Coulomb branches, quantized zastavas, Kac polynomials, and shuffle algebras