Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were highlighted at the conference Algebraic and Complex Geometry held September 2012 in Hannover, Germany. These two subjects of recent ongoing progress belong to the most spectacular developments in Algebraic and Complex Geometry. Irreducible symplectic manifolds are of interest to algebraic and differential geometers alike, behaving similar to K3 surfaces and abelian varieties in certain ways, but being by far less well-understood. Moduli spaces, on the other hand, have been a rich source of open…mehr
Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were highlighted at the conference Algebraic and Complex Geometry held September 2012 in Hannover, Germany. These two subjects of recent ongoing progress belong to the most spectacular developments in Algebraic and Complex Geometry. Irreducible symplectic manifolds are of interest to algebraic and differential geometers alike, behaving similar to K3 surfaces and abelian varieties in certain ways, but being by far less well-understood. Moduli spaces, on the other hand, have been a rich source of open questions and discoveries for decades and still continue to be a hot topic in itself as well as with its interplay with neighbouring fields such as arithmetic geometry and string theory. Beyond the above focal topics this volume reflects the broad diversity of lectures at the conference and comprises 11 papers on current research from different areas of algebraic and complex geometry sorted in alphabetic order by the first author. It also includes a full list of speakers with all titles and abstracts.
Produktdetails
Produktdetails
Springer Proceedings in Mathematics & Statistics 71
Artikelnr. des Verlages: 86359577, 978-3-319-05403-2
2014
Seitenzahl: 332
Erscheinungstermin: 10. Oktober 2014
Englisch
Abmessung: 241mm x 160mm x 24mm
Gewicht: 608g
ISBN-13: 9783319054032
ISBN-10: 3319054031
Artikelnr.: 40461577
Autorenporträt
Matthias Schütt, geboren 1955, Journalist, ist nach über 20-jähriger Tätigkeit als leitender Redakteur seit 2008 freiberuflich tätig.
Inhaltsangabe
Preface.- Introduction.- A. Frühbis-Krüger, R. Kloosterman, M. Schütt: Introduction.- M.A. Barja, L. Stoppino : Stability conditions and positivity of invariants of fibrations.- A. Beauville : On the second lower quotient of the fundamental group.- M. Blume : McKay correspondence over non algebraically closed fields.- L. Caporaso : Gonality of algebraic curves and graphs.- F. Catanese : Caustics of plane curves, their birationality and matrix projections.- O. Fujino, Y. Gongyo : On images of weak Fano manifolds II.- N. Hitchin : The hyperholomorphic line bundle.- H. Hollborn, S. Müller-Stach : Hodge numbers for the cohomology of Calabi-Yau type local systems.- E. Markman : Lagrangian fibrations of holomorphic-symplectic varieties of K3^[n]-type.- T. Peternell, F. Schrack : Contact Kähler Manifolds: Symmetries and Deformations.- Complete List of talks.- List of participants.
Preface.- Introduction.- A. Frühbis-Krüger, R. Kloosterman, M. Schütt: Introduction.- M.A. Barja, L. Stoppino: Stability conditions and positivity of invariants of fibrations.- A. Beauville: On the second lower quotient of the fundamental group.- M. Blume: McKay correspondence over non algebraically closed fields.- L. Caporaso: Gonality of algebraic curves and graphs.- F. Catanese: Caustics of plane curves, their birationality and matrix projections.- O. Fujino, Y. Gongyo: On images of weak Fano manifolds II.- N. Hitchin: The hyperholomorphic line bundle.- H. Hollborn, S. Müller-Stach: Hodge numbers for the cohomology of Calabi-Yau type local systems.- E. Markman: Lagrangian fibrations of holomorphic-symplectic varieties of K3^[n]-type.- T. Peternell, F. Schrack: Contact Kähler Manifolds: Symmetries and Deformations.- Complete List of talks.- List of participants.
Preface.- Introduction.- A. Frühbis-Krüger, R. Kloosterman, M. Schütt: Introduction.- M.A. Barja, L. Stoppino : Stability conditions and positivity of invariants of fibrations.- A. Beauville : On the second lower quotient of the fundamental group.- M. Blume : McKay correspondence over non algebraically closed fields.- L. Caporaso : Gonality of algebraic curves and graphs.- F. Catanese : Caustics of plane curves, their birationality and matrix projections.- O. Fujino, Y. Gongyo : On images of weak Fano manifolds II.- N. Hitchin : The hyperholomorphic line bundle.- H. Hollborn, S. Müller-Stach : Hodge numbers for the cohomology of Calabi-Yau type local systems.- E. Markman : Lagrangian fibrations of holomorphic-symplectic varieties of K3^[n]-type.- T. Peternell, F. Schrack : Contact Kähler Manifolds: Symmetries and Deformations.- Complete List of talks.- List of participants.
Preface.- Introduction.- A. Frühbis-Krüger, R. Kloosterman, M. Schütt: Introduction.- M.A. Barja, L. Stoppino: Stability conditions and positivity of invariants of fibrations.- A. Beauville: On the second lower quotient of the fundamental group.- M. Blume: McKay correspondence over non algebraically closed fields.- L. Caporaso: Gonality of algebraic curves and graphs.- F. Catanese: Caustics of plane curves, their birationality and matrix projections.- O. Fujino, Y. Gongyo: On images of weak Fano manifolds II.- N. Hitchin: The hyperholomorphic line bundle.- H. Hollborn, S. Müller-Stach: Hodge numbers for the cohomology of Calabi-Yau type local systems.- E. Markman: Lagrangian fibrations of holomorphic-symplectic varieties of K3^[n]-type.- T. Peternell, F. Schrack: Contact Kähler Manifolds: Symmetries and Deformations.- Complete List of talks.- List of participants.
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