Results 21 to 30 of about 28,988 (110)
Conformal field theories and compact curves in moduli spaces
, 2018 We show that there are many compact subsets of the moduli space $M_g$ of Riemann surfaces of genus $g$ that do not intersect any symmetry locus. This has interesting implications for $\mathcal{N}=2$ supersymmetric conformal field theories in four ...
Donagi, Ron, Morrison, David R.
core +1 more source
Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley +1 more source
Zero-loci of Brauer group elements on semi-simple algebraic groups
, 2018 We consider the problem of counting the number of rational points of bounded height in the zero-loci of Brauer group elements on semi-simple algebraic groups over number fields.
Loughran, Daniel +2 more
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Celestial Topology, Symmetry Theories, and Evidence for a NonSUSY D3‐Brane CFT
Fortschritte der Physik, Volume 73, Issue 4, April 2025.Abstract Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a D$D$‐dimensional QFTD$\text{QFT}_{D}$ in terms of a (D+1)$(D+1)$‐dimensional bulk system SymThD+1$\text{SymTh}_{D+1}$. In QFTs realized via local string backgrounds, these SymThs naturally arise from dimensional reduction of the linking
Jonathan J. Heckman, Max Hübner
wiley +1 more source
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona +3 more
wiley +1 more source
Some applications of canonical metrics to Landau–Ginzburg models
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley +1 more source
Lagrangian approximation of totally real concordances
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations ...
Georgios Dimitroglou Rizell
wiley +1 more source
Normal forms and Tyurin degenerations of K3 surfaces polarized by a rank 18 lattice
Mathematische Nachrichten, Volume 298, Issue 3, Page 806-828, March 2025.Abstract We study projective Type II degenerations of K3 surfaces polarized by a certain rank 18 lattice, where the central fiber consists of a pair of rational surfaces glued along a smooth elliptic curve. Given such a degeneration, one may construct other degenerations of the same kind by flopping curves on the central fiber, but the degenerations ...
Charles F. Doran +2 more
wiley +1 more source
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We provide partial solutions to two problems posed by Shehtman concerning the modal logic of the Čech–Stone compactification of an ordinal space. We use the Continuum Hypothesis to give a finite axiomatization of the modal logic of β(ω2)$\beta (\omega ^2)$, thus resolving Shehtman's first problem for n=2$n=2$. We also characterize modal logics
Guram Bezhanishvili +3 more
wiley +1 more source