Microbiome study of a coupled aquaponic system: unveiling the independency of bacterial communities and their beneficial influences among different compartments. [PDF]
Sci Rep, 2023 Ruiz A +9 more
europepmc +1 more source
Generalized Optimal Degenerations of Fano Varieties
Peking Mathematical JournalWe prove a generalization of the algebraic version of Tian conjecture. Precisely, for any smooth strictly increasing function $g:\mathbb{R}\to\mathbb{R}_{>0}$ with ${\rm log}\circ g$ convex, we define the $\mathbf{H}^g$-invariant on a Fano variety $X$ generalizing the $\mathbf{H}$-invariant introduced by Tian-Zhang-Zhang-Zhu, and show that $\mathbf ...
openaire +2 more sources
Toricity in families of Fano varieties
Pure and Applied Mathematics Quarterly28 pages, to appear in Pure Appl. Math. Q. (special issue in honor of Caucher Birkar)
Ji, Lena, Moraga, Joaquín
openaire +2 more sources
Mukai models of Fano varieties
Journal für die reine und angewandte Mathematik (Crelles Journal)Abstract We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6
Arend Bayer +2 more
openaire +2 more sources
Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface). [PDF]
J Lond Math Soc, 2022 Moreira M.
europepmc +1 more source
Rational Curves on Coindex 3 Fano Varieties
We describe the moduli space of rational curves on smooth Fano varieties of coindex 3. For varieties of dimension 5 or greater, we prove the moduli space has a single irreducible component for each effective numerical class of curves.
Jovinelly, Eric, Okamura, Fumiya
core
On the anti-canonical ring and varieties of Fano type [PDF]
, 2013 . We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano type depending on the singularities of these ...
Yoshinori Gongyo, Paolo Cascini
core
Mercury in honey from the Marche region (central Italy). Risk assessment from human consumption and its use as bioindicator of environmental pollution. [PDF]
Heliyon, 2023 Girolametti F +5 more
europepmc +1 more source
On the anti-canonical ring and varieties of Fano type [PDF]
, 2016 We study the anti-canonical ring of a projective variety and we characterise varieties of log Fano type depending on the singularities of these ...
Yoshinori Gongyo +3 more
core