Results 31 to 40 of about 1,118 (197)
Computing certain Fano 3-folds [PDF]
, 2007 We use the computer algebra system Magma to study graded rings of Fano 3-folds of index >= 3 in terms of their Hilbert ...
Brown, Gavin D., Suzuki, Kaori
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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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Fano Varieties of K3-Type and IHS Manifolds [PDF]
International Mathematics Research Notices, 2021 AbstractWe construct several new families of Fano varieties of K3 type. We give a geometrical explanation of the K3 structure, and we link some of them to the projective families of irreducible holomorphic symplectic manifolds.
Fatighenti E., Mongardi G.
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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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Non-free curves on Fano varieties
Osaka Journal of Mathematics, 2023 minor revisions, 31 pages, to appear in Osaka J. of Math.,.
Lehmann, Brian +2 more
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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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Rationality and equivariant birational geometry of Fano varieties [PDF]
This thesis is about birational geometry of Fano varieties and their properties. Firstly, we study the rationality of Fano-Enriques threefolds, which are certain three-dimensional non-Gorenstein Fano varieties of index 1 with at most canonical ...
Sarikyan, Arman
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Computation and data in the classification of Fano varieties
Nankai Symposium on Mathematical Dialogues, 2022 11 pages, 3 figures; colloquium-style article for "Nankai Symposium on Mathematical Dialogues"
Brown, Gavin +5 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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Maximum likelihood estimation of toric Fano varieties [PDF]
, 2020 We study the maximum likelihood estimation problem for several classes of toric Fano models. We start by exploring the maximum likelihood degree for all 2-dimensional Gorenstein toric Fano varieties.
Améndola, Carlos +2 more
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