arXiv math.AGの新着論文24本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-ag/episodes/2026-03-31/

1. Applications of (higher) categorical trace II: Deligne-Lusztig theory
2. Deligne's weight spectral sequence and tautological cohomology of the moduli space of curves
3. On the $\mathrm{PGL}_2$-equivariant intersection theory of $\mathrm{Gr}(2,4)$
4. Structure of the Components of the Fixed Locus of a Self-Map of the Berkovich Line
5. k-Wahl chains and cyclic quotient singularities
6. Multiplicity of codimension 1 fibers in Lagrangian fibrations
7. Galois subspaces for compact Riemann surfaces of genus 2
8. Towards a characterization of toric hyperk\"{a}hler varieties among symplectic singularities II
9. On Chasles' Quadrilateral Theorem
10. Numerical inequalities for quasi-projective surfaces
11. Motivic counting of curves on split quintic del Pezzo surfaces
12. Contraherent cosheaves of contramodules on Noetherian formal schemes
13. Log-concavity from enumerative geometry of planar curve singularities
14. A Criterion for Phantomness of dg-categories
15. Irreducible Characteristic Cycles for Orbit Closures of a Symmetric Subgroup
16. Transfer and Norm for Finite Group Schemes
17. Two comparison theorems for semiring schemes
18. On the Codimension-1 $\mathrm{PGL}_4$ Orbit Closures in $\mathrm{Gr}(2,10)$
19. Weakly special varieties, Campana stacks, and Remarks on Orbifold Mordell
20. Tempered vs generic automorphic functions and the canonical filtration on automorphic functions
21. Hyperbolic Cluster States for Fault-Tolerant Measurement-Based Quantum Computing
22. Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra
23. The Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$
24. Higher algebra in $t$-structured tensor triangulated $\infty$-categories