Results 21 to 30 of about 10,755 (178)
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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Asymptotically log Fano varieties
Advances in Mathematics, 2015 Motivated by the study of Fano type varieties we define a new class of log pairs that we call asymptotically log Fano varieties and strongly asymptotically log Fano varieties. We study their properties in dimension two under an additional assumption of log smoothness, and give a complete classification of two dimensional strongly asymptotically log ...
Cheltsov, Ivan, Rubinstein, Yanir A.
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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
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Invariants of Fano Varieties in Families [PDF]
Moscow Mathematical Journal, 2018 11 pages. Corrected mistake in appendix.
Gounelas, Frank, Javanpeykar, Ariyan
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The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
Forum of Mathematics, SigmaThe Manin–Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.
Valentin Blomer +3 more
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Calabi–Yau threefolds with small h1,1's from Fano threefolds
Nuclear Physics B, 2017 We construct Calabi–Yau threefolds with relatively small Hodge numbers h1,1's by smoothing normal crossing varieties, which are obtained from Fano threefolds. We consider over 300 configurations and compute Hodge numbers of Calabi–Yau threefolds. Many of
Nam-Hoon Lee
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On Fano Schemes of Toric Varieties [PDF]
SIAM Journal on Applied Algebra and Geometry, 2017 Let $X_\mathcal{A}$ be the projective toric variety corresponding to a finite set of lattice points $\mathcal{A}$. We show that irreducible components of the Fano scheme $\mathbf{F}_k(X_\mathcal{A})$ parametrizing $k$-dimensional linear subspaces of $X_\mathcal{A}$ are in bijection to so-called maximal Cayley structures for $\mathcal{A}$. We explicitly
Ilten, Nathan, Zotine, Alexandre
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Families of Smooth Rational Curves of Small Degree on the Fano Variety of Degree 5 of Main Series
Моделирование и анализ информационных систем, 2013 In this paper we consider some families of smooth rational curves of degree 2, 3 and 4 on a smooth Fano threefold X which is a linear section of the Grassmanian G(1, 4) under the Pl¨ucker embedding. We prove that these families are irreducible. The proof
M. S. Omelkova
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