Results 11 to 20 of about 599 (45)
Decompositions of moduli spaces of vector bundles and graph potentials
Forum of Mathematics, Sigma, 2023 We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose
Pieter Belmans +2 more
doaj +1 more source
Gushel--Mukai varieties: intermediate Jacobians [PDF]
Épijournal de Géométrie Algébrique, 2020 We describe intermediate Jacobians of Gushel-Mukai varieties $X$ of dimensions 3 or 5: if $A$ is the Lagrangian space associated with $X$, we prove that the intermediate Jacobian of $X$ is isomorphic to the Albanese variety of the canonical double ...
Olivier Debarre, Alexander Kuznetsov
doaj +1 more source
K-stability of Fano varieties via admissible flags
Forum of Mathematics, Pi, 2022 We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) prove the existence of Kähler-Einstein metrics on all smooth Fano hypersurfaces of Fano index two, (b) compute the stability thresholds for hypersurfaces ...
Hamid Abban, Ziquan Zhuang
doaj +1 more source
FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY
Forum of Mathematics, Sigma, 2020 We show that complex Fano hypersurfaces can have arbitrarily large degrees of irrationality. More precisely, if we fix a Fano index $e$, then the degree of irrationality of a very general complex Fano hypersurface of index $e$ and dimension n is bounded ...
NATHAN CHEN, DAVID STAPLETON
doaj +1 more source
The Ricci iteration and its applications [PDF]
, 2007 In this Note we introduce and study dynamical systems related to the Ricci operator on the space of Kahler metrics as discretizations of certain geometric flows.
Rubinstein, Yanir A.
core +3 more sources
Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure [PDF]
, 2016 We obtain a formula for the number of genus one curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface.
Biswas, Indranil +2 more
core +3 more sources
The number of vertices of a Fano polytope [PDF]
, 2004 Let X be a complex, Gorenstein, Q-factorial, toric Fano variety. We prove two conjectures on the maximal Picard number of X in terms of its dimension and its pseudo-index, and characterize the boundary cases. Equivalently, we determine the maximal number
Casagrande, C.
core +6 more sources
Pluricomplex Green's functions and Fano manifolds [PDF]
Épijournal de Géométrie Algébrique, 2019 We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere ...
Nicholas McCleerey, Valentino Tosatti
doaj +1 more source
The classification of smooth toric weakened Fano 3-folds [PDF]
, 2002 We completely classify toric weakened Fano 3-folds, that is, smooth toric weak Fano 3-folds which are not Fano but are deformed to smooth Fano 3-folds.
Sato, Hiroshi
core +1 more source
Jumping deformations of complete toric varieties
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 49, Page 3101-3113, 2003., 2003 We construct one‐parameter complex analytic families whose special fibers are complete toric varieties. Under appropriate assumptions, the general fibers of these families also become toric varieties, and the corresponding fans are explicitly described by the data of the fans associated to the special fibers.
Hiroshi Sato
wiley +1 more source