Results 21 to 30 of about 58 (58)

On $G$-birational rigidity of del Pezzo surfaces [PDF]

Épijournal de Géométrie Algébrique
Let $G$ be a finite group and $H\subseteq G$ be its subgroup. We prove that if a smooth del Pezzo surface over an algebraically closed field is $H$-birationally rigid then it is also $G$-birationally rigid, answering a geometric version of Koll\'{a}r's ...
Egor Yasinsky
doaj   +1 more source

Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefolds [PDF]

Épijournal de Géométrie Algébrique
We prove an optimal Kawamata-Miyaoka-type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka-type inequality \[ c_1(X ...
Haidong Liu, Jie Liu
doaj   +1 more source

Wall-crossing for K-moduli spaces of certain families of weighted projective hypersurfaces

Forum of Mathematics, Sigma
We describe the K-moduli spaces of weighted hypersurfaces of degree $2(n+3)$ in $\mathbb {P}(1,2,n+2,n+3)$ . We show that the K-polystable limits of these weighted hypersurfaces are also weighted hypersurfaces of the same degree in the same ...
In-Kyun Kim, Yuchen Liu, Chengxi Wang
doaj   +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

On K-stability of One-nodal Prime Fano Threefolds of Genus 12

A preprint version of the article is available at arXiv:2506.17649v2 [math.AG], https://arxiv.org/abs/2506.17649 ([v2] Fri, 10 Oct 2025 21:53:54 UTC (59 KB)), under a CC BY license (https://creativecommons.org/licenses/by/4.0/). It has not been certified
Denisova, E, Kaloghiros, A-S
core   +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

On Higher Order Embeddings Of Fano Threefolds By The Anticanonical Linear System

, 2008
. In this article the map given by the anticanonical bundle of a Fano manifold is investigated with respect to a number of natural notions of higher order embeddings of projective manifolds.
Andrew J. Sommese, Andrew, Mauro C. Beltrametti, Sandra Di Rocco   +3 more
core  

On some Special Fano Manifolds

, 1996
. Some properties of Fano manifolds of product type involving the coindex and the number of factors are discussed and a contribution to the study of special Fano P-bundles of low corank is given; in particular standard special Fano P-bundles of corank 3 ...
Cristiana S. Sacchi, A. Lanteri, C. Sacchi, Antonio Lanteri   +3 more
core  

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

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