Results 31 to 40 of about 599 (45)

On the size of lattice simplices with a single interior lattice point

, 2012
Let $\mathcal{T}^d(1)$ be the set of all $d$-dimensional simplices $T$ in $\real^d$ with integer vertices and a single integer point in the interior of $T$.
Averkov, Gennadiy
core   +1 more source

K-stable smooth Fano threefolds of Picard rank two

Forum of Mathematics, Sigma
We prove that all smooth Fano threefolds in the families and are K-stable, and we also prove that smooth Fano threefolds in the family that satisfy one very explicit generality condition are K-stable.
Ivan Cheltsov, Elena Denisova, Kento Fujita   +2 more
doaj   +1 more source

Bounding geometrically integral del Pezzo surfaces

Forum of Mathematics, Sigma
We prove several boundedness statements for geometrically integral normal del Pezzo surfaces X over arbitrary fields. We give an explicit sharp bound on the irregularity if X is canonical or regular.
Fabio Bernasconi, Gebhard Martin
doaj   +1 more source

Moments, Exponential Sums, and Monodromy Groups

Forum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]

Math Ann, 2021
Patakfalvi Z, Zdanowicz M.
europepmc   +1 more source

Mutations of fake weighted projective planes

, 2014
In previous work by Coates, Galkin, and the authors, the notion of mutation between lattice polytopes was introduced. Such a mutation gives rise to a deformation between the corresponding toric varieties.
Akhtar, Mohammad, Kasprzyk, Alexander
core  

Categorical Torelli theorems: results and open problems. [PDF]

Rend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Toric varieties whose blow-up at a point is Fano

, 2001
We classify smooth toric Fano varieties of dimension $n\geq 3$ containing a toric divisor isomorphic to $\PP^{n-1}$. As a consequence of this classification, we show that any smooth complete toric variety $X$ of dimension $n\geq 3$ with a $T$-fixed point
Bonavero, Laurent
core   +1 more source

Generalized Mukai conjecture for special Fano varieties

Open Mathematics, 2004
Andreatta Marco, Chierici Elena, Occhetta Gianluca   +2 more
doaj   +1 more source

Halphen pencils on weighted Fano threefold hypersurfaces

Open Mathematics, 2009
Cheltsov Ivan, Park Jihun
doaj   +1 more source