Monopoles and modifications of bundles over elliptic curves.
Levin, Andrey M., Olshanetsky, Mikhail A., Zotov, Andrei V. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles”
Monopoles and modifications of bundles over elliptic curves.
On total reality of meromorphic functions
Alex Degtyarev, Torsten Ekedahl, Ilia Itenberg, Boris Shapiro, Michael Shapiro (2007)
Annales de l’institut Fourier
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We show that, if a meromorphic function of degree at most four on a real algebraic curve of an arbitrary genus has only real critical points, then it is conjugate to a real meromorphic function by a suitable projective automorphism of the image.
On the S-fundamental group scheme
Adrian Langer (2011)
Annales de l’institut Fourier
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We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
Positivity properties of toric vector bundles
Milena Hering, Mircea Mustaţă, Sam Payne (2010)
Annales de l’institut Fourier
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We show that a torus-equivariant vector bundle on a complete toric variety is nef or ample if and only if its restriction to every invariant curve is nef or ample, respectively. Furthermore, we show that nef toric vector bundles have a nonvanishing global section at every point and deduce that the underlying vector bundle is trivial if and only if its restriction to every invariant curve is trivial. We apply our methods and results to study, in particular, the vector bundles that arise...
Some results on value distribution of meromorphic functions.
Zhang, Wen-Hua (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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extension of adjoint line bundle sections
Dano Kim (2010)
Annales de l’institut Fourier
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We prove an extension theorem of Ohsawa-Takegoshi type for line bundle sections on a subvariety of general codimension in a normal projective variety. Our method of proof gives conditions to be satisfied for such extension in a general setting, while such conditions are satisfied when the subvariety is given by an appropriate multiplier ideal sheaf.