Results 41 to 50 of about 818 (55)

Optimal bound for singularities on Fano type fibrations of relative dimension one

Forum of Mathematics, Sigma
Let $\pi :X\rightarrow Z$ be a Fano type fibration with $\dim X-\dim Z=d$ and let $(X,B)$ be an $\epsilon $ -lc pair with $K_X+B\sim _{\mathbb {R}} 0/Z$ . The canonical bundle formula gives $(Z,B_Z+M_Z)$ where $
Bingyi Chen
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 the embedded Nash problem

Forum of Mathematics, Pi
The embedded Nash problem for a hypersurface in a smooth algebraic variety is to characterize geometrically the maximal irreducible families of arcs with fixed order of contact along the hypersurface.
Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza, Javier Fernández de Bobadilla, Tomasz Pełka   +4 more
doaj   +1 more source

Nef cones of fiber products and an application to the cone conjecture

Forum of Mathematics, Sigma
We prove a decomposition theorem for the nef cone of smooth fiber products over curves, subject to the necessary condition that their Néron–Severi space decomposes.
Cécile Gachet, Hsueh-Yung Lin, Long Wang   +2 more
doaj   +1 more source

Minimal log discrepancies of hypersurface mirrors

Forum of Mathematics, Sigma
For certain quasismooth Calabi–Yau hypersurfaces in weighted projective space, the Berglund-Hübsch-Krawitz (BHK) mirror symmetry construction gives a concrete description of the mirror.
Louis Esser
doaj   +1 more source

Local Normal Forms of Noncommutative Functions

Forum of Mathematics, Pi
This article describes local normal forms of functions in noncommuting variables, up to equivalence generated by isomorphism of noncommutative Jacobi algebras, extending singularity theory in the style of Arnold’s commutative local normal forms into the ...
Gavin Brown, Michael Wemyss
doaj   +1 more source

Quasi-log canonical pairs are Du Bois

, 2019
We prove that every quasi-log canonical pair has only Du Bois singularities. Note that our arguments are free from the minimal model program.Comment: 6 pages, v2: very minor modifications, v3: add some explanations in the proof of Theorem 1.1.
Fujino, Osamu, Liu, Haidong
core  

Generalized Mukai conjecture for special Fano varieties

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

Three-dimensional terminal toric flips

Open Mathematics, 2009
Fujino Osamu, Sato Hiroshi, Takano Yukishige, Uehara Hokuto   +3 more
doaj   +1 more source

Geography of log models: theory and applications

Open Mathematics, 2011
Shokurov Vyacheslav, Choi Sung
doaj   +1 more source