Results 21 to 30 of about 490 (65)
A new 5-fold flop and derived equivalence
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
Birationally rigid Fano-Mori fibre spaces
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
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 +5 more
wiley +1 more source
Boundedness of slc degenerations of polarized log Calabi–Yau pairs
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
On Proper Polynomial Maps of $\mathbb{C}^2.$ [PDF]
Two proper polynomial maps $f_1, f_2 \colon \mathbb{C}^2 \longrightarrow \mathbb{C}^2$ are said to be \emph{equivalent} if there exist $\Phi_1, \Phi_2 \in \textrm{Aut}(\mathbb{C}^2)$ such that $f_2=\Phi_2 \circ f_1 \circ \Phi_1$.
A. Dimca +17 more
core +2 more sources
Polar Cremona Transformations and Monodromy of Polynomials
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. +12 more
core +1 more source
Varieties with vanishing holomorphic Euler characteristic II [PDF]
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
Invariants of Topological Relative Right Equivalences
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of families of functions with isolated singularities defined on an analytic ...
Ahmed, Imran +2 more
core +1 more source
Caustics of plane curves, their birationality and matrix projections
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
On the birationality of the adjunction mapping of projective varieties [PDF]
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

