User profiles for D. Greb
Daniel GrebFakultät für Mathematik, Universität Duisburg-Essen Verified email at uni-due.de Cited by 978 |
Differential forms on log canonical spaces
… Let X be a complex quasi-projective variety of dimension n and let D be a Q-divisor on X
such that the pair (X,D) is log canonical. Let π : X → X be a log resolution with π-exceptional set …
such that the pair (X,D) is log canonical. Let π : X → X be a log resolution with π-exceptional set …
Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties
D Greb, S Kebekus, T Peternell - 2016 - projecteuclid.org
… i for weighted variables yj with degyj D j, then we will use the shorthand notation … D on U,
and any point x 2 U, we need to show that m D is Cartier at x. Consider the pullback eD WD D, …
and any point x 2 U, we need to show that m D is Cartier at x. Consider the pullback eD WD D, …
Klt varieties with trivial canonical class: holonomy, differential forms, and fundamental groups
D Greb, H Guenancia, S Kebekus - Geometry & Topology, 2019 - msp.org
… trivial canonical divisor established by Greb, Kebekus, and … paper, in particular Proposition
D and Theorem E, Höring … Xreg/ D f1g might seem like a good condition, but even in the …
D and Theorem E, Höring … Xreg/ D f1g might seem like a good condition, but even in the …
Singular spaces with trivial canonical class
D Greb, S Kebekus, T Peternell - Minimal models and extremal …, 2011 - projecteuclid.org
… of D, we can assume without loss of generality that D is Cartier, and thus linearly equivalent
to the difference of two ample Cartier divisors, D … to prove numerical triviality of D, it suffices to …
to the difference of two ample Cartier divisors, D … to prove numerical triviality of D, it suffices to …
Features of patients with 2019 novel coronavirus admitted in a pneumology department: The first retrospective Tunisian case series.
…, H Baili, S Jrad, A Radhouani, D Greb… - La tunisie …, 2020 - europepmc.org
Aim On 2 March 2020, Tunisia has reported the first confirmed case of COVID-19. Since then,
the disease has affected about 700 persons in the country. The purpose of our study was …
the disease has affected about 700 persons in the country. The purpose of our study was …
Movable curves and semistable sheaves
D Greb, S Kebekus, T Peternell - … Mathematics Research Notices, 2016 - academic.oup.com
… if |$\alpha \cdot D \geq 0$| for any effective Cartier divisor |$D$|. The set … D$| defines a
numerical class |$[D] \in N^1(X)_{\mathbb {Q}} \subset N^1(X)_{\mathbb {R}}$|. We say that “|$D…
numerical class |$[D] \in N^1(X)_{\mathbb {Q}} \subset N^1(X)_{\mathbb {R}}$|. We say that “|$D…
Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
Given a normal variety Z, a p-form σ defined on the smooth locus of Z and a resolution of
singularities , we study the problem of extending the pull-back π*(σ) over the π-exceptional set . …
singularities , we study the problem of extending the pull-back π*(σ) over the π-exceptional set . …
The Miyaoka-Yau inequality and uniformisation of canonical models
D Greb, S Kebekus, T Peternell, B Taji - arXiv preprint arXiv:1511.08822, 2015 - arxiv.org
… Given any divisor D or any sheaf E whose determinant is Q-Cartier, we write the appropriate
… Assume we are given a projective klt pair (X,D) and a reflexive sheaf E there. Applying …
… Assume we are given a projective klt pair (X,D) and a reflexive sheaf E there. Applying …
Reductive quotients of klt singularities
… We say that D is a proper polyhedral divisor or a p-divisor if locpDq is semi-ample for any
m P σ_, and Dpmq is big for m in the relative interior of σ_. Note that this condition holds …
m P σ_, and Dpmq is big for m in the relative interior of σ_. Note that this condition holds …
Compact moduli spaces for slope-semistable sheaves
D Greb, M Toma - arXiv preprint arXiv:1303.2480, 2013 - arxiv.org
… that for any k ≥ k0 and any smooth divisor D ∈ |kH1| with (grµE)|D torsionfree one has that
E|D is (semi)stable with respect to (H2|D, ..., Hn−1|D). Here grµE denotes the graded sheaf …
E|D is (semi)stable with respect to (H2|D, ..., Hn−1|D). Here grµE denotes the graded sheaf …