Kürsat Aker

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This is an expository note describing the isomorphism classes of (algebraic) line bundles on pro-jective spaces in an elementary way. Our intention is to introduce the isomorphism classes of line bundles on a projective space in three different ways • By projective geometry, • By local coordinates, • As multiplicative group quotients. 0.1. Notations and(More)
This paper is devoted to the study of a certain class of principal bundles on del Pezzo surfaces, which were introduced and studied by Friedman and Morgan in [10]: The two authors showed that there exists a unique principal bundle (up to isomorphism) on a given (Gorenstein) del Pezzo surface satisfying certain properties. We call these bundles almost(More)
We formulate the Nahm transform in the context of parabolic Higgs bundles on P 1 and extend its scope in completely algebraic terms. This transform requires parabolic Higgs bundles to satisfy an admissibility condition and allows Higgs fields to have poles of arbitrary order and arbitrary behavior. Our methods are constructive in nature and examples are(More)
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