X‐ray magnetic circular dichroism
Major Reference Works, Page 508-515., 2022 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
wiley +1 more source
Good reduction of Fano threefolds and sextic surfaces [PDF]
, 2017 We investigate versions of the Shafarevich conjecture, as proved for curves and abelian varieties by Faltings, for other classes of varieties. We first obtain analogues for certain Fano threefolds. We use these results to prove the Shafarevich conjecture
Javanpeykar, Ariyan, Loughran, Daniel
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Maximal lengths of exceptional collections of line bundles [PDF]
, 2010 In this paper we construct infinitely many examples of toric Fano varieties with Picard number three, which do not admit full exceptional collections of line bundles. In particular, this disproves King's conjecture for toric Fano varieties.
Alexander I. Efimov +9 more
core +1 more source
Hilbert series, machine learning, and applications to physics
Physics Letters B, 2022 We describe how simple machine learning methods successfully predict geometric properties from Hilbert series (HS). Regressors predict embedding weights in projective space to ∼1 mean absolute error, whilst classifiers predict dimension and Gorenstein ...
Jiakang Bao +5 more
doaj +1 more source
A proposal for (0,2) mirrors of toric varieties
Journal of High Energy Physics, 2017 In this paper we propose (0,2) mirrors for general Fano toric varieties with special tangent bundle deformations, corresponding to subsets of toric deformations.
Wei Gu, Eric Sharpe
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Moduli spaces of Calabi–Yau complete intersections
Nuclear Physics B, 2015 In this short note, based on the work [7] in 1994, we describe compactifications of moduli spaces of Calabi–Yau complete intersections in Gorenstein toric Fano varieties.
Shinobu Hosono
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Some results on rational surfaces and Fano varieties [PDF]
, 2000 The goal of this article is to study the equations and syzygies of embeddings of rational surfaces and certain Fano varieties. Given a rational surface X and an ample and base-point-free line bundle L on X, we give an optimal numerical criterion for L to
Gallego, Francisco Javier +1 more
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On a Classification of Smooth Fano Polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The $d$-dimensional simplicial, terminal, and reflexive polytopes with at least $3d-2$ vertices are classified. In particular, it turns out that all of them are smooth Fano polytopes.
Benjamin Assarf +2 more
doaj +1 more source
Invariants of Fano Varieties in Families [PDF]
Moscow Mathematical Journal, 2018 11 pages. Corrected mistake in appendix.
Gounelas, Frank, Javanpeykar, Ariyan
openaire +3 more sources
Exceptional collections on toric Fano threefolds and birational geometry [PDF]
, 2014 Bernardi and Tirabassi show the existence of full strong exceptional collections consisting of line bundles on smooth toric Fano $3$-folds under assuming Bondal's conjecture, which states that the Frobenius push-forward of the structure sheaf $\mc O_X ...
Uehara, Hokuto
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