Results 21 to 30 of about 471 (42)

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

Birationally isotrivial fiber spaces [PDF]

, 2015
We prove that a family of varieties is birationally isotrivial if all the fibers are birational to each other.Comment: 10 pages; v2: thanks to helpful suggestions of the referee, the main result is now independent of the Eisenbud-Goto conjecture; also ...
B Pt, Fedor Bogomolov, Graf Von Bothmer, Hans-christian   +3 more
core   +1 more source

Birationally rigid Fano-Mori fibre spaces

Forum of Mathematics, Sigma
In this paper, we prove the birational rigidity of Fano-Mori fibre spaces $\pi \colon V\to S$ , every fibre of which is a Fano complete intersection of index 1 and codimension $k\geqslant 3$ in the projective space ${\mathbb P}^{M+k}$
Aleksandr Pukhlikov
doaj   +1 more source

Varieties with vanishing holomorphic Euler characteristic II [PDF]

, 2013
We continue our study on smooth complex projective varieties $X$ of maximal Albanese dimension and of general type satisfying $\chi(X, \omega_X)=0$. We formulate a conjectural characterization of such varieties and prove this conjecture when the Albanese
Chen, Jungkai Alfred, Zhi Jiang
core  

Evaluation of filaggrin 2 expression in dogs with atopic dermatitis before and after oclacitinib maleate administration

Veterinary Dermatology, Volume 36, Issue 4, Page 453-461, August 2025.
Background – Canine atopic dermatitis (cAD) is a chronic, inflammatory, multifactorial and pruritic disease. The presence of skin barrier impairment (e.g. filaggrin alterations), along with abnormal immune responses, can negatively impact cutaneous barrier function.
Wendie Roldan Villalobos, Tássia Ferreira, Fernanda Borek, Domenico Santoro, Lluis Ferrer, Marconi Farias   +5 more
wiley   +1 more source

Boundedness of slc degenerations of polarized log Calabi–Yau pairs

Forum of Mathematics, Sigma
Given a family of pairs over a smooth curve whose general fiber is a log Calabi–Yau pair in a fixed bounded family, suppose there exists a divisor on the family whose restriction on a general fiber is ample with bounded volume.
Junpeng Jiao
doaj   +1 more source

Polar Cremona Transformations and Monodromy of Polynomials

, 2007
Consider the gradient map associated to any non-constant homogeneous polynomial $f\in \C[x_0,...,x_n]$ of degree $d$, defined by \[\phi_f=grad(f): D(f)\to \CP^n, (x_0:...:x_n)\to (f_0(x):...:f_n(x))\] where $D(f)=\{x\in \CP^n; f(x)\neq 0\}$ is the ...
Bruce J. W., Choudary A. D. R., Ciliberto C., Dimca A., Dimca A., Dimca A., Dimca A., Dimca A., Dolgachev I. V., Fassarella T., Gibson C. G., Imran Ahmed, Lê D. T.   +12 more
core   +1 more source

A new 5-fold flop and derived equivalence

, 2016
We describe a new example of a flop in 5-dimensions, due to Roland Abuaf, with the nice feature that the contracting loci on either side are not isomorphic. We prove that the two sides are derived equivalent.Comment: v1.
Segal, Ed
core   +1 more source

On the birationality of the adjunction mapping of projective varieties [PDF]

, 2011
Let $X$ be a smooth projective $n$-fold such that $q(X)=0$ and $L$ a globally generated, big line bundle on $X$ such that $h^0(K_X+(n-2)L) >0$. We give necessary and sufficient conditions for the adjoint systems $|K_X+kL|$ to be birational for $k \geq n ...
Knutsen, Andreas Leopold
core  

Caustics of plane curves, their birationality and matrix projections

, 2013
After recalling the notion of caustics of plane curves and basic equations, we first show the birationality of the caustic map for a general source point S in the plane.
J.W. Bruce, J.W. Bruce
core   +1 more source