Logarithmic Co-Higgs Bundles
نویسندگان
چکیده
منابع مشابه
Co - Higgs bundles on P 1
Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P, we find necessary and sufficient conditions on its Grothendieck splitting for it to admit a stable Higgs field. We characterize the rank-2, odd-degree moduli space as a universal elliptic curve with a globally-defin...
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Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P, we find necessary and sufficient conditions on its Grothendieck splitting for it to admit a stable Higgs field. We characterize the rank-2, odd-degree moduli space as a universal elliptic curve with a globally-defin...
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Recently J. P. Demailly gave a natural desingularization of the quotient of jet bundles by the full reparametrization group. Using this, he was able to complete an approach by Green and Griiths to construct negatively curved jet pseudometrics on subvarieties of Abelian varieties to prove Bloch's theorem metrically. In the present paper we extend this technique to the logarithmic case, yielding ...
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H(X,C) = H(X)⊕H(X) = H(X,OX)⊕H(X,ΩX). Therefore, homomorphisms π1(X) → C are the same as an element of H(X,OX), i.e. a holomorphic line bundle of degree 0, and an element of H(X,ΩX), i.e. a holomorphic 1-form. In these notes, we describe an analogous correspondence for the case of represenations into a nonabelian Lie Group G, focusing in particular on the case G = GL(n,C) [5]. Theorems are give...
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ژورنال
عنوان ژورنال: Mediterranean Journal of Mathematics
سال: 2019
ISSN: 1660-5446,1660-5454
DOI: 10.1007/s00009-018-1293-7