Results 11 to 20 of about 25,301 (182)
Gorenstein spherical Fano varieties [PDF]
Geometriae Dedicata, 2015 We obtain a combinatorial description of Gorenstein spherical Fano varieties in terms of certain polytopes, generalizing the combinatorial description of Gorenstein toric Fano varieties by reflexive polytopes and its extension to Gorenstein horospherical
Gagliardi, Giuliano +1 more
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Simple normal crossing Fano varieties and log Fano manifolds [PDF]
Nagoya Mathematical Journal, 2012 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 X with -(K_X+D) ample.
Fujita, Kento
core +5 more sources
Fano symmetric varieties with low rank
Publications of the Research Institute for Mathematical Sciences, 2010 The symmetric projective varieties of rank one are all smooth and Fano by a classic result of Akhiezer. We classify the locally factorial (respectively smooth) projective symmetric $G$-varieties of rank 2 which are Fano.
Ruzzi, Alessandro
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Fano and Weak Fano Hessenberg Varieties
Michigan Mathematical Journal, 2023 Regular semisimple Hessenberg varieties are smooth subvarieties of the flag variety, and their examples contain the flag variety itself and the permutohedral variety which is a toric variety. We give a complete classification of Fano and weak Fano regular semisimple Hessenberg varieties in type A in terms of combinatorics of Hessenberg functions.
Abe, Hiraku, Fujita, Naoki, Zeng, Haozhi
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Cylinders in Fano varieties [PDF]
EMS Surveys in Mathematical Sciences, 2021 This paper is a survey about cylinders in Fano varieties and related problems.
Ivan Cheltsov +3 more
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Super-rigid affine Fano varieties [PDF]
Compositio Mathematica, 2018 We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.
Cheltsov, Ivan +2 more
openaire +6 more sources
Narrow-band and highly absorbing fano resonance in a cavity-coupled dielectric metasurface
Materials Research Express, 2023 Metamaterial resonance offers a flexibility in engineering the frequency and bandwidth of light absorption for a variety of optoelectronic applications such as wavelength-selective photodetection, optical sensing and infrared camouflaging etc.
Jiachen Yu +5 more
doaj +1 more source
Examples of cylindrical Fano fourfolds [PDF]
, 2014 We construct 4 di erent families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of the form Z x A1, where Z is a quasiprojective variety. The affi ne cones over such a fourfold admit eff ective Ga-actions.
Prokhorov, Yuri, Zaidenberg, Mikhail
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Stringy Bubbles Solve de Sitter Troubles
Universe, 2021 Finding four-dimensional de Sitter spacetime solutions in string theory has been a vexing quest ever since the discovery of the accelerating expansion of the universe.
Per Berglund +2 more
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Fano-resonant metamaterials and their applications
Nanophotonics, 2013 New developments in the field of Fano-resonant plasmonic metamaterials are reviewed. The emphasis is on the applications of such artificial electromagnetic materials to a variety of technologically important areas: solar energy harvesting and conversion,
Khanikaev Alexander B. +2 more
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