172 citations
- Goethe University FrankfurtDE1 paper
- Indiana University – Purdue University IndianapolisUS1 paper
- Institut de Recherche Mathématique AvancéeFR1 paper
- Russian Academy of SciencesRU1 paper
- St Petersburg UniversityRU1 paper
- Universidad de MoreliaMX1 paper
- Université de LilleFR1 paper
- University Hospital FrankfurtDE1 paper
- University of CambridgeGB1 paper
- University of EdinburghGB1 paper
- University of GothenburgSE1 paper
- University of KaiserslauternDE1 paper
13 papers
Elliptic structures on weighted three-dimensional Fano hypersurfaces
Ivan Cheltsov
We classify birational maps into elliptic fibrations of a general quasismooth hypersurface in of degree that has termi…
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules for generic weight to the case of general . We consider the relation…
Homological Projective Duality
Alexander Kuznetsov
We introduce a notion of Homological Projective Duality for smooth algebraic varieties in dual projective spaces, a homological extension of the classical projective duality. If al…
Remarks on Chebyshev coordinates
Yu. Burago, S. Ivanov, S. Malev
Some results on existence of global Chebyshev coordinates on a Riemannian manifold or, more generally, on Aleksandrov surface are proved. For instance, if the positive and the nega…
Derived equivalences by quantization
D. Kaledin
We assume given a smooth symplectic (in the algebraic sense) resolution of an affine algebraic variety , and we prove that, possibly after replacing with an etale neighb…
New estimates of double trigonometric sums with exponential functions
M. Z. Garaev, A. A. Karatsuba
We establish a new bound for the exponential sum \begin{eqnarray*} \sum_{x\in\mathcal{X}}\Big|\sum_{y\in \mathcal{Y}}γ(y)\exp(2πi a λ^{xy}/p)\Big|, \end{eqnarray*} where is an…