Results 31 to 40 of about 5,445 (84)
On isomorphisms between Siegel modular threefolds
, 2015 The Satake compactification of the moduli space of principally polarized abelian surfaces with a level two structure has a degree 8 endomorphism. The aim of this paper is to show that this result can be extended to other modular threefolds.
Perna, Sara
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Minimal projective varieties satisfying Miyaoka's equality
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract In this paper, we establish a structure theorem for a minimal projective klt variety X$X$ satisfying Miyaoka's equality 3c2(X)=c1(X)2$3c_2(X) = c_1(X)^2$. Specifically, we prove that the canonical divisor KX$K_X$ is semi‐ample and that the Kodaira dimension κ(KX)$\kappa (K_X)$ is equal to 0, 1, or 2. Furthermore, based on this abundance result,
Masataka Iwai +2 more
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
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Prym varieties and their moduli [PDF]
, 2011 We discuss the geometry of the moduli space of Prym varieties. The article is based on series of lectures given in Bedlewo and Luminy. The first section of the paper contains a detailed historical account of the lives of Friedrich Prym and Friedrich ...
Farkas, Gavril
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Parametrized stability and the universal property of global spectra
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop a framework of parametrized semiadditivity and stability with respect to so‐called atomic orbital subcategories of an indexing ∞$\infty$‐category T$T$, extending work of Nardin. Specializing this framework, we introduce global ∞$\infty$‐categories and the notions of equivariant semiadditivity and stability, yielding a higher ...
Bastiaan Cnossen +2 more
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Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
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Commuting Pairs in Quasigroups
Journal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
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Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3307-3325, November 2025.Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
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Arithmetic sparsity in mixed Hodge settings
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3511-3521, November 2025.Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
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Equivariant Hilbert and Ehrhart series under translative group actions
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
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