Results 11 to 20 of about 10,805 (174)
Gorenstein spherical Fano varieties [PDF]
Geometriae Dedicata, 2015 We obtain a combinatorial description of Gorenstein spherical Fano varieties in terms of certain polytopes, generalizing the combinatorial description of Gorenstein toric Fano varieties by reflexive polytopes and its extension to Gorenstein horospherical
Gagliardi, Giuliano +1 more
core +5 more sources
Gorenstein toric Fano varieties [PDF]
manuscripta mathematica, 2004 We investigate Gorenstein toric Fano varieties by combinatorial methods using the notion of a reflexive polytope which appeared in connection to mirror symmetry.
Avram +20 more
core +3 more sources
Fano varieties with many selfmaps
Advances in Mathematics, 2008 short version, 19 pages, to appear in Advances in ...
Ivan Cheltsov
openaire +6 more sources
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.
openaire +5 more sources
Journal of Mathematical Sciences, 1999 AMSTeX, 13 pages; revised: minor typos ...
openaire +5 more sources
Fano symmetric varieties with low rank
Publications of the Research Institute for Mathematical Sciences, 2010 The symmetric projective varieties of rank one are all smooth and Fano by a classic result of Akhiezer. We classify the locally factorial (respectively smooth) projective symmetric $G$-varieties of rank 2 which are Fano.
Ruzzi, Alessandro
core +4 more sources
Globally F-regular and log Fano varieties
Advances in Mathematics, 2010 31 pages, minor changes throughout. The presentation of section 5 improved.
Schwede, Karl, Smith, Karen E.
openaire +5 more sources
Fano and Weak Fano Hessenberg Varieties
Michigan Mathematical Journal, 2023 Regular semisimple Hessenberg varieties are smooth subvarieties of the flag variety, and their examples contain the flag variety itself and the permutohedral variety which is a toric variety. We give a complete classification of Fano and weak Fano regular semisimple Hessenberg varieties in type A in terms of combinatorics of Hessenberg functions.
Abe, Hiraku, Fujita, Naoki, Zeng, Haozhi
openaire +3 more sources
Cylinders in Fano varieties [PDF]
EMS Surveys in Mathematical Sciences, 2021 This paper is a survey about cylinders in Fano varieties and related problems.
Ivan Cheltsov +3 more
openaire +4 more sources
Super-rigid affine Fano varieties [PDF]
Compositio Mathematica, 2018 We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.
Cheltsov, Ivan +2 more
openaire +6 more sources