Results 81 to 90 of about 25,301 (182)
Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract We study the equivariant Kuznetsov component KuG(X)$\mathrm{Ku}_G(X)$ of a general cubic fourfold X$X$ with a symplectic involution. We show that KuG(X)$\mathrm{Ku}_G(X)$ is equivalent to the derived category Db(S)$D^b(S)$ of a K3$K3$ surface S$S$, where S$S$ is given as a component of the fixed locus of the induced symplectic action on the ...
Laure Flapan, Sarah Frei, Lisa Marquand
wiley +1 more source
Toric amplitudes and universal adjoints
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley +1 more source
Photonic SensorsThe practical development of compact modern nanophotonic devices relies on the availability of fast and low-cost fabrication techniques applicable to a wide variety of materials and designs.
Mahmoud H. Elshorbagy +8 more
doaj +1 more source
Covered by lines and Conic connected varieties
Le Matematiche, 2011 We study some properties of an embedded variety covered by lines and give a numerical criterion ensuring the existence of a singular conic through two of its general points. We show that our criterion is sharp.
Alex Massarenti +2 more
doaj
Opto-Electronic AdvancesThe expansive spectral coverage and superior optical properties of lithium niobate (LN) offer a comprehensive suite of tools for exploring novel functionalities. Achieving high-quality (Q) photonic resonator cavities is crucial for enhancing light-matter
Zhi Jiang +10 more
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Coregularity of Fano varieties
Geometriae DedicataAbstractThe absolute regularity of a Fano variety, denoted by $$\hat{\textrm{reg}}(X)$$ reg ^ ( X ) , is ...
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Fano Varieties and Fano Polytopes
, 2020 The foundation of this thesis is the problem whether a given (normal) Gorenstein Fano variety can be degenerated to a toric Gorenstein Fano variety. We will only consider those degenerations that are compatible with the choice of an ample line bundle on the original variety and an ample rational Cartier divisor on the toric variety.
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Noether-Fano Inequalities and Canonical Thresholds on Fano Varieties
, 2021 We prove a more general and precise version of the Noether-Fano inequalities for birational maps between Mori fiber spaces. This is applied to give descriptions of global canonical thresholds on Fano varieties of Picard number one.
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Toric Fano varieties and birational morphisms
, 2001 In this paper we study smooth toric Fano varieties using primitive relations and toric Mori theory. We show that for any irreducible invariant divisor D in a toric Fano variety X, we have $0\leq _X- _D\leq 3$, for the difference of the Picard numbers of X and D. Moreover, if $ _X- _D>0$ (with some additional hypotheses if $ _X- _D=1$), we give
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On Fano and weak Fano Bott–Samelson–Demazure–Hansen varieties
Journal of Pure and Applied Algebra, 2018 Accepted in Journal of Pure and Applied ...
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