Results 81 to 90 of about 1,118 (197)
Fano varieties and machine learning
Algebraic geometry is the study of geometrical shapes defined as solutions to polynomial equations -- algebraic varieties. Amongst varieties, the positively curved ones -- Fano varieties -- distinguish themselves for their importance: they can be ...
Veneziale, Sara
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, 2012 Fano polytopes are the convex-geometric objects corresponding to toric Fano varieties.
Kasprzyk, Alexander M. +3 more
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Moduli Spaces of Fano Varieties
Moduli spaces hold a pivotal position within the field of algebraic geometry. Over the past decade, the emergence and development of K-stability have significantly enriched our understanding of moduli theory for Fano varieties and log Fano pairs, giving ...
Junyan Zhao (12750746)
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Vanishing theorems and syzygies for K3 surfaces and Fano varieties
, 2000 In this article we prove results concerning the vanishing of Koszul cohomology groups on K3 surfaces and n-dimensional Fano varieties of index n−2.
Gallego, F.J. +3 more
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Reductivity of the automorphism group of K-polystable Fano varieties
, 2020 We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness and Θ-reductivity of the moduli of K-semistable log Fano pairs.
Alper, Jarod +7 more
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Kähler-Einstein metrics on symmetric Fano T-varieties [PDF]
, 2013 We relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use Tian's criterion to prove the existence of Kahler-Einstein metrics on them.
Suess, Hendrik, Süß, Hendrik
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, 2006 A horospherical variety is a normal algebraic variety where a reductive algebraic group acts with an open orbit which is a torus bundle over a flag variety. For example, toric varieties and flag varieties are horospherical. In this paper, we classify Fano horospherical varieties in terms of certain rational polytopes that generalize the reflexive ...
openaire +2 more sources
Factorization of anticanonical maps of Fano type varieties
, 2018 The purpose of the present paper is to generalize Sakai's work on anticanonical models of rational surfaces to varieties of Fano type. We rst prove a characterization of Fano type varieties using the singularities of anti- canonical models. Secondly,
Sung Rak Choi +2 more
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Sulla razionalità delle 3-varietà di Fano con B_2 almeno 2
Le Matematiche, 1992 Complex, smooth, projective Fano varieties were classified by Iskovskih when B2 =1 (B2 is the second Betti number) and by Mori and Mukai when B2 is at least 2. When B2 =1 it is known if such varieties are rational (unirational) or not; in this paper we
Alberto Alzati, Marina Bertolini
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