By Ingrid Bauer, Fabrizio Catanese, Roberto Pignatelli (auth.), Wolfgang Ebeling, Klaus Hulek, Knut Smoczyk (eds.)
This quantity includes the lawsuits of the convention "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was once the purpose of this convention to carry experts from differential geometry and (complex) algebraic geometry jointly and to debate new advancements in and the interplay among those fields. Correspondingly, the articles during this ebook disguise a large quarter of issues, starting from issues in (classical) algebraic geometry via complicated geometry, together with (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.
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Extra info for Complex and Differential Geometry: Conference held at Leibniz Universität Hannover, September 14 – 18, 2009
Bull. London Math. Soc. 33 (2001), no. 3, 265–274. , A connected component of the moduli space of surfaces with pg = 0. Topology 40 (2001), no. 5, 977–991. , A survey on the bicanonical map of surfaces with pg = 0 and K 2 ≥ 2. Algebraic geometry, 277–287, de Gruyter, Berlin 2002. , A new family of surfaces with pg = 0 and K 2 = 3. ´ Ann. Sci. Ecole Norm. Sup. (4) 37 (2004), no. 4, 507–531. , Surfaces of general type with pg = 0, K 2 = 6 and non birational bicanonical map. Math. Ann. 329 (2004), no.
Sor of type (4, 4). Because S = S/Z 2 The structure of this e´ tale Z22 -covering Sˆ of S is essentially encoded in the fundamental group π1 (S), which can be described as an affine group Γ ⊂ A(2, C). The ˆ key point is that the double cover αˆ : Sˆ → E1 × E2 is the Albanese map of S. Assume now that S is homotopically equivalent to a Keum-Naie surface S. Then ˆ Since we know the corresponding e´ tale cover Sˆ is homotopically equivalent to S. ˆ that the degree of the Albanese map of S is equal to two (by construction), we can conlude the same for the Albanese map of Sˆ and this allows to deduce that also Sˆ is a double cover of a product of elliptic curves.
Lecture Note Series 280, Cambridge University Press, Cambridge, 2000. xii+199 pp. , Sur les surfaces de genre P12 > 1. Ann. Mat. Pura Appl. (4) 71 (1966), 1–24. [BW74] Burns, D. , Local contributions to global deformations of surfaces. Invent. Math. 26 (1974), 67–88. , Sopra alcuni piani doppi notevoli con curve di diramazione del decimo ordine. Atti Acad. Naz. Lincei 15 (1932), 536–542. [CS] Cartwright, D. , Enumeration of the 50 fake projective planes. C. R. Math. Acad. Sci. Paris 348 (2010), no.
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