Results 91 to 100 of about 25,301 (182)

Boundedness of spherical Fano varieties

, 2003
We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. We also introduce an invariant of a spherical subgroup H in a reductive group G which measures how nice an equivariant Fano compactification G/H there exists.
Alexeev, Valery, Brion, Michel
openaire   +2 more sources

Mukai models of Fano varieties

We give a self-contained and simplified proof of Mukai's classification of prime Fano threefolds of index 1 and genus $g \ge 6$ with at most Gorenstein factorial terminal singularities, and of its extension to higher-dimension.
Bayer, Arend, Kuznetsov, Alexander, Macrì, Emanuele   +2 more
openaire   +2 more sources

The Mukai conjecture for log Fano manifolds

Open Mathematics, 2014
Fujita Kento
doaj   +1 more source

Fano varieties of middle pseudoindex

manuscripta mathematica
Let $X$ be a complex smooth Fano variety of dimension $n$. In this paper, we give a classification of such $X$ when the pseudoindex is equal to $\dfrac{\dim X+1}{2}$ and the Picard number greater than one.
openaire   +3 more sources

Fano varieties with high degree

, 1999
For any positive integer $k$ and any integer $n$ large enough, we construct a Fano variety $X$ with Picard number $k$ and dimension $n$ such that $((-K_X)^n)^{1/n}$ grows like $n^k/(\log n)^{k-1}$.
openaire   +2 more sources

Engineered fano resonances in a compact Si₃N₄ photonic crystal nanobeam-microring platform for multi-cladding environments. [PDF]

Sci Rep
Mendoza-Castro JH, Vorobev AS, Iadanza S, Lendl B, Magno G, O'Faolain L, Grande M.   +6 more
europepmc   +1 more source

Fano-engineered high-Q compact nested ring resonator based photonic device for advanced multi-analyte biosensing applications. [PDF]

Sci Rep
Mishra P, Gaur T, Srinivas T.
europepmc   +1 more source

Interferometric phenomenologies in a nanoelectromechanical interaction. [PDF]

Sci Rep
de Sá Neto OP, Diniz EC, Sohail A.
europepmc   +1 more source

Influence of Driving Pulse Properties on Third-Harmonic Diffraction from Quasi-BIC Metasurfaces. [PDF]

ACS Photonics
Bijloo F, den Boef AJ, Kraus PM, Koenderink AF.   +3 more
europepmc   +1 more source

Bound states in the continuum and long-lived electronic resonances in two-tangent loops cavity. [PDF]

Sci Rep
Abdel-Ghaffar EA, Dobrzyński L, Al-Wahsh H, Akjouj A.   +3 more
europepmc   +1 more source