Results 81 to 90 of about 10,805 (174)
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
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
On some invariants of cubic fourfolds. [PDF]
Eur J Math, 2023 Gounelas F, Kouvidakis A.
europepmc +1 more source
Generalized Futaki Invariant of Almost Fano Toric Varieties, Examples
, 1998 The interpretation, due to T. Mabuchi, of the classical Futaki invariant of Fano toric manifolds is extended to the case of the Generalized Futaki invariant, introduced by W. Ding and G. Tian, of almost Fano toric varieties. As an application it is shown
Yotov, Mirroslav Tz.
core
Categorical Torelli theorems: results and open problems. [PDF]
Rend Circ Mat Palermo, 2023 Pertusi L, Stellari P.
europepmc +1 more source
On singular Fano varieties with a divisor of Picard number one
, 2016 In this paper we study the geometry of mildly singular Fano varieties on which there is an effective prime divisor of Picard number one. Afterwards, we address the case of toric varieties.
Montero, Pedro
core +1 more source
Toric Fano varieties and birational morphisms
, 2001 In this paper we study smooth toric Fano varieties using primitive relations and toric Mori theory. We show that for any irreducible invariant divisor D in a toric Fano variety X, we have $0\leq _X- _D\leq 3$, for the difference of the Picard numbers of X and D. Moreover, if $ _X- _D>0$ (with some additional hypotheses if $ _X- _D=1$), we give
openaire +4 more sources
On Fano and weak Fano Bott–Samelson–Demazure–Hansen varieties
Journal of Pure and Applied Algebra, 2018 Accepted in Journal of Pure and Applied ...
openaire +4 more sources
Maximally mutable Laurent polynomials. [PDF]
Proc Math Phys Eng Sci, 2021 Coates T +3 more
europepmc +1 more source
Boundedness of spherical Fano varieties
, 2003 We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. We also introduce an invariant of a spherical subgroup H in a reductive group G which measures how nice an equivariant Fano compactification G/H there exists.
Alexeev, Valery, Brion, Michel
openaire +2 more sources