23 research outputs found

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    Evenals hier worden ook in China wiskunde-competities voor middelbare scholieren georganiseerd. Eduard Looijenga werd gevraagd als jury-lid: hij reisde af naar het Oosten en was tevensgetuige van de opening van een nieuw wiskundig onderzoeksinstituut. De Chinese wiskunde beleeft een enorme opmars

    Real map germs and higher open books

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    We present a general criterion for the existence of open book structures defined by real map germs (\bR^m, 0) \to (\bR^p, 0), where m>p2m> p \ge 2, with isolated critical point. We show that this is satisfied by weighted-homogeneous maps. We also derive sufficient conditions in case of map germs with isolated critical value.Comment: 12 page

    On Proper Polynomial Maps of C2.\mathbb{C}^2.

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    Two proper polynomial maps f1,f2 ⁣:C2C2f_1, f_2 \colon \mathbb{C}^2 \longrightarrow \mathbb{C}^2 are said to be \emph{equivalent} if there exist Φ1,Φ2Aut(C2)\Phi_1, \Phi_2 \in \textrm{Aut}(\mathbb{C}^2) such that f2=Φ2f1Φ1f_2=\Phi_2 \circ f_1 \circ \Phi_1. We investigate proper polynomial maps of arbitrary topological degree d2d \geq 2 up to equivalence. Under the further assumption that the maps are Galois coverings we also provide the complete description of equivalence classes. This widely extends previous results obtained by Lamy in the case d=2d=2.Comment: 15 pages. Final version, to appear in Journal of Geometric Analysi

    Bookreview Geometry of algebraic curves. Volume II (Grundlehren der mathematischen Wissenschaften, 268)

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    Geometry of algebraic curves. Volume II (Grundlehren der mathematischen Wissenschaften, 268

    A minicourse on moduli of curves

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    Trento notes on Hodge theory

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    These are the notes of an introductory course on Hodge theory. The subject matter includes mixed Hodge theory and the period mappings of some special projective manifolds

    Cohomology of M3 and M1/3

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