Results 191 to 200 of about 2,997,696 (239)

Fano Varieties and Fano Polytopes [PDF]

, 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.
Steinert, Christian Pascal
openaire   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

On the Fano variety of a class of real four-dimensional cubics

Mathematical Notes, 2009
Krasnov V A
exaly   +2 more sources

Endomorphisms of Fano 3-folds and log Bott vanishing

Mathematical Research Letters, 2023
Kawakami and the author showed that a projective variety with an int-amplified endomorphism of degree invertible in the base field satisfies Bott vanishing. That was a new way to analyze which varieties have nontrivial endomorphisms.
B. Totaro
semanticscholar   +1 more source

$q$-bic hypersurfaces and their Fano schemes

Pure and Applied Mathematics Quarterly, 2023
A $q$-bic hypersurface is a hypersurface in projective space of degree $q+1$, where $q$ is a power of the positive ground field characteristic, whose equation consists of monomials which are products of a $q$-power and a linear power; the Fermat ...
R. Cheng
semanticscholar   +1 more source

On a conjecture on the variety of lines on Fano complete intersections

Annali di Matematica Pura ed Applicata, 2020
The Debarre-de Jong conjecture predicts that the Fano variety of lines on a smooth Fano hypersurface in Pn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Samir Canning
semanticscholar   +1 more source

Ultrasensitive biosensor using a Fano resonant asymmetric all-dielectric metasurface

Optics + Optoelectronics, 2023
Fano resonance is a universal phenomenon that has been widely exploited to achieve spectrally sharp resonances for a variety of applications. Recently, all dielectric metasurface design composed of two silicon resonators, nanodisk and nanobar, exhibits ...
Norhan A. Salama, S. Obayya, Shaimaa M. I. Alexeree, M. Swillam   +3 more
semanticscholar   +1 more source

On the Fano variety of linear spaces contained in two odd-dimensional quadrics

, 2016
In this paper we describe the geometry of the 2m-dimensional Fano manifold G parametrizing (m-1)-planes in a smooth complete intersection Z of two quadric hypersurfaces in the complex projective space P^{2m+2}, for m>0.
Carolina Araujo, C. Casagrande
semanticscholar   +1 more source

Fano manifolds with Lefschetz defect 3

Journal des Mathématiques Pures et Appliquées, 2022
Let X be a smooth, complex Fano variety, and delta(X) its Lefschetz defect. It is known that if delta(X) is at least 4, then X is isomorphic to a product SxT, where dim T=dim X-2.
C. Casagrande, E. Romano, S. A. Secci
semanticscholar   +1 more source

A Note on Kähler–Ricci Flow on Fano Threefolds

Peking Mathematical Journal, 2022
In this note, we show that the solution of Kähler–Ricci flow on every Fano threefold from Family No. 2.23 in the Mori–Mukai’s list develops type II singularity. In fact, we show that no Fano threefold from Family No.
Minghao Miao, G. Tian
semanticscholar   +1 more source

High‐Q and Tailorable Fano Resonances in a One‐Dimensional Metal‐Optical Tamm State Structure: From a Narrowband Perfect Absorber to a Narrowband Perfect Reflector

Advanced Functional Materials, 2021
Fano resonances giving rise to a rich variety of asymmetric spectral shapes have been investigated in optical nanostructures with multidimensional configurations.
Zhiyu Wang, Y. Ho, T. Cao, T. Yatsui, J. Delaunay   +4 more
semanticscholar   +1 more source