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Now showing items 11-20 of 212
Holomorphically parametrized L2 Cramer's rule and its algebraic geometric applications
(2013-10-08)
Suppose $f,g_1,\cdots,g_p$ are holomorphic functions over $\Omega\subset\cxC^n$. Then there raises a natural question: when can we find holomorphic functions $h_1,\cdots,h_p$ such that $f=\sum g_jh_j$? The celebrated Skoda ...
DG Indschemes
(American Mathematical Society, 2014)
We develop the notion of indscheme in the context of derived algebraic geometry, and study the categories of quasi-coherent sheaves and ind-coherent sheaves on indschemes. The main results concern the relation between ...
On Some Finiteness Questions for Algebraic Stacks
(Springer Science + Business Media, 2013)
We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-compact algebraic stack is compactly generated. We also show that under the same hypothesis, the functor of global sections on the DG ...
Weyl Modules and Opers without Monodromy
(Springer-Verlag, 2010)
We prove that the algebra of endomorphisms of a Weyl module of critical level is isomorphic to the algebra of functions on the space of monodromy-free opers on the disc with regular singularity and residue determined by ...
Knots which Behave Like the Prime Numbers
(Oxford University Press (OUP), 2013)
This paper establishes a version of the Chebotarev density theorem in which number fields are replaced by 3-manifolds.
Moduli Spaces in Genus Zero and Inversion of Power Series
(Swets & Zeitlinger, 2014-03-11)
Ind-Coherent Sheaves
(Independent University of Moscow, 2013)
We develop the theory of ind-coherent sheaves on schemes and stacks. The category of ind-coherent sheaves is closely related, but inequivalent, to the category of quasi-coherent sheaves, and the difference becomes crucial ...
Moduli Spaces of Isoperiodic Forms on Riemann Surfaces
(2014-03-11)
This paper describes the intrinsic geometry of a leaf \(\mathcal{A}(L)\) of the absolute period foliation of the Hodge bundle \(\Omega \bar{M}_g\): its singular Euclidean structure, its natural foliations and its discretized ...
Analysis of Some PDEs over Manifolds
(2013-02-14)
In this dissertation I discuss and investigate the analytic aspect of several elliptic and parabolic partial differential equations arising from Rimannian and complex geometry, including the generalized Ricci flow, Gaussian ...
The effect of one additional driver mutation on tumor progression
(Blackwell Publishing Ltd, 2013)
Tumor growth is caused by the acquisition of driver mutations, which enhance the net reproductive rate of cells. Driver mutations may increase cell division, reduce cell death, or allow cells to overcome density-limiting ...