Results 91 to 100 of about 1,118 (197)
On Fano complete intersections in rational homogeneous varieties
, 2020 International audienceComplete intersections inside rational homogeneous varieties provide interesting examples of Fano manifolds. For example, if X = ∩ r i=1 D i ⊂ G/P is a general complete intersection of r ample divisors such that K * G/P ⊗ O G/P (− i
Manivel, Laurent +2 more
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On some invariants of cubic fourfolds. [PDF]
Eur J Math, 2023 Gounelas F, Kouvidakis A.
europepmc +1 more source
Noether-Fano Inequalities and Canonical Thresholds on Fano Varieties
, 2021 We prove a more general and precise version of the Noether-Fano inequalities for birational maps between Mori fiber spaces. This is applied to give descriptions of global canonical thresholds on Fano varieties of Picard number one.
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Higher index Fano varieties with finitely many birational automorphisms
, 2022 Determining when the birational automorphism group of a Fano variety is finite is an interesting and difficult problem. The main technique for studying this problem is by the Noether-Fano method.
Stapleton, David, Chen, Nathan
core
Some adjunction properties of ample vector bundles II
Le Matematiche, 2001 Let E be a vector bundle of rank r on a projective variety X of dimension n with only log-terminal singularities. We classify the couples (E,X) satisfying some conditions. We give some applications in case of sectional genus one.
Hironobu Ishihara
doaj
Singularities of Cox rings of Fano varieties
Journal de Mathématiques Pures et Appliquées, 2013 Let $X$ be a smooth complete Fano variety over $\mathbb{C}$. We show that the Cox ring $\bigoplus_{L\in\text{Pic}(X)}H^0(X,\mathcal{O}_X(L))$ is Gorenstein with canonical singularities.
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Covered by lines and Conic connected varieties
Le Matematiche, 2011 We study some properties of an embedded variety covered by lines and give a numerical criterion ensuring the existence of a singular conic through two of its general points. We show that our criterion is sharp.
Alex Massarenti +2 more
doaj
Coregularity of Fano varieties
Geometriae DedicataAbstractThe absolute regularity of a Fano variety, denoted by $$\hat{\textrm{reg}}(X)$$ reg ^ ( X ) , is ...
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Categorical Torelli theorems: results and open problems. [PDF]
Rend Circ Mat Palermo, 2023 Pertusi L, Stellari P.
europepmc +1 more source
Balanced line bundles on Fano varieties
, 2018 A conjecture of Batyrev and Manin relates arithmetic properties of varieties with ample anticanonical class to geometric invariants. We analyze the geometry underlying these invariants using the Minimal Model Program and then apply our results to ...
Tanimoto, Sho +2 more
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