Results 71 to 80 of about 10,805 (174)
Modular Fabrication of Quantum‐Dot–Plasmonic Metasurfaces for Tailored Optical Modes
Small Structures, Volume 7, Issue 5, May 2026.Our modular photonic architecture is illustrated using color‐coded building blocks representing colloidal quantum dots, gold nanoparticles, and thin films. This visual metaphor highlights our bottom‐up and top‐down fabrication approach, enabling the creation of tailored optical modes for optoelectronic applications.
Sezer Seçkin +6 more
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Families of lines in Fano varieties complete intersection in a Grassmannian
Le Matematiche, 2002 In this paper we determine all Fano varieties which are complete intersections of hypersurfaces in a Grassmannian. Then, in the case Fano's conjecture is satisfied, we give a formula in order to compute the dimension of the Hilbert scheme that ...
Jorge Cordovez
doaj
Fano varieties with conjecturally largest Fano index
International Journal of MathematicsFor Fano varieties of various singularities such as canonical and terminal, we construct examples with large Fano index growing doubly exponentially with dimension. By low-dimensional evidence, we conjecture that our examples have the largest Fano index for all dimensions.
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Birationally rigid Fano varieties
, 2003 We give a brief survey of the concept of birational rigidity, from its origins in the two-dimensional birational geometry, to its current state. The main ingredients of the method of maximal singularities are discussed. The principal results of the theory of birational rigidity of higher-dimensional Fano varieties and fibrations are given and certain ...
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Simple normal crossing Fano varieties and log Fano manifolds [PDF]
Nagoya Mathematical Journal, 2014 Abstract A projective log variety (X, D) is called a log Fano manifold if X is smooth and if D is a reduced simple normal crossing divisor on Χ with − (KΧ + D) ample. The n-dimensional log Fano manifolds (X, D) with nonzero D are classified in this article when the log Fano index r of (X, D) satisfies either r ≥ n/2 with ρ(X) ≥ 2 or r ≥ n − 2.
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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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Sulla razionalità delle 3-varietà di Fano con B_2 almeno 2
Le Matematiche, 1992 Complex, smooth, projective Fano varieties were classified by Iskovskih when B2 =1 (B2 is the second Betti number) and by Mori and Mukai when B2 is at least 2. When B2 =1 it is known if such varieties are rational (unirational) or not; in this paper we
Alberto Alzati, Marina Bertolini
doaj
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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