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Research School;Algebraic and Complex Geometry

Aim of the lecture is to give an introduction to $K3$ surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space.
The name $K3$ was given by André Weil in 1958 in honour of the three remarkable mathematicians: Kummer, Kähler and Kodaira and of the beautiful K2 mountain at Cachemire.
The topics of the lecture are the following:

* $K3$ surfaces in the Enriques-Kodaira classification.
* Examples; Kummer surfaces.
* Basic properties of $K3$ surfaces; Torelli theorem and surjectivity of the period map.
* The study of automorphisms on $K3$ surfaces: basic facts, examples.
* Symplectic automorphisms of $K3$ surfaces, classification, moduli spaces. Aim of the lecture is to give an introduction to $K3$ surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space.
The name $K3$ was given by André Weil in 1958 in honour of the three remarkable mathematicians: Kummer, Kähler and Kodaira and of the beautiful K2 mountain at Cachemire.
The topics of the lecture are the following:

* ...

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Documents 14L30 | enregistrements trouvés : 77

Topics on $K3$ surfaces - Lecture 1: $K3$ surfaces in the Enriques Kodaira classification and examples Sarti, Alessandra | CIRM H Nouveau

Colloque d'algèbreMai 28-31 Guérindon, J. ; Lafon, J. P. ; Rivet, R. ; Samuel, P. | S.N. 1980 Nouveau

Group actions and vector fields :proceedings of a polish-north american seminar held at the university of british columbia#Jan. 15 - Feb. 15 Carrell, J. C. | Springer-Verlag 1982 Nouveau

Complete intersections :lectures given at the 1st 1983 session to the C.I.M.E. held at acireale catania#June 13-21 Greco, S. ; Strano, R. | Springer-Verlag 1984 Nouveau

Séminaire d'algèbre Paul Dubreil et Marie-Paul MalliavinproceedingsParis 1987-198839ème année Malliavin, M. P. | Springer-Verlag 1989 Nouveau

Algebraic transformation groups and invariant theory Kraft, Hanspeter ; Slodowy, Peter ; Springer, Tonny A. | Birkhäuser Verlag 1989 Nouveau

Group actions and invariant theory :proceedings of the 1988 montreal conference#Aug. 1-6 Bialynicki-Birula, A. ; Carrell, J. C. ; Russell, P. ; Snow, D. | American Mathematical Society 1989 Nouveau

Topological Methods in Algebraic Transformation Groupsproceedings of a Conference at Rutgers University Kraft, Hanspeter ; Petrie, Ted ; Schwarz, Gerald W. | Birkhäuser 1989 Nouveau

Linear algebraic groups and their representations :conference on linear algebraic groups and their representations#March 25-28 Elman, Richard S. ; Schacher, Murray M. ; Varadarajan, V. S. | American Mathematical Society 1993 Nouveau

Algebraic groups and their generalizations summer research institute on ...Pennsylvania State UniversityJuly 6-26 Haboush, William J. ; Parshall, Brian J. | American Mathematical Society 1994 Nouveau

Algebra and analysis :proceedings of the first siberian winter schoolKemerovo State University Aleksandrov, A. D. ; Belegradek, O. V. ; Bokut, L. A. ; Ershov, Yu. L. | American Mathematical Society 1991 Nouveau

Séminaire de géométrie algébrique du Bois Marie 1962-64 SGA 3groupes de type multiplicatif, et structure des schémas en groupes généraux II Artin, Michael ; Bertin, J. E. ; Demazure, M. ; Gabriel, P. ; Grothendieck, A. | Springer-Verlag 1970 Nouveau

Trends in the representation theory of finite dimensional algebras#July 20-24 Green E. L. ; Huisgen-Zimmermann B. | American Mathematical Society 1998 Nouveau

Invariant theory in all characteristics :workshop on ... held at Queen's University#April 8-19 Campbell, H. E. A. Eddy ; Wehlau, David L. | American Mathematical Society 2004 Nouveau

Geometric methods in algebra and number theory :conference on ...#Dec. Bogomolov, Fedor ; Tschinkel, Yuri | Birkhäuser 2005 Nouveau

Séminaire Bourbaki. Vol. 1997/98 :exposés 835-849 | Société Mathématique de France 1998 Nouveau

Studies in Lie theory :dedicated to A. Joseph on his sixtieth birthday Bernstein, Joseph ; Hinich, Vladimir ; Melnikov, Anna | Birkhäuser 2006 Nouveau

Highlights in Lie algebraic methods. Outgrowth of a two-week summer school on structures in Lie theory, crystals, derived functors, Harish-Chandra modules, invariants and quiversBremen # august 2009 Joseph, Anthony ; Melnikov, Anna ; Penkov, Ivan | Birkhäuser 2012 Nouveau

Affine algebraic geometry:the Russell festschrift.Outgrow of an international conference held in honour of professor Peter Russell on the occasion of his 70th birthdayMontréal # june 1-5, 2009 Daigle, Daniel ; Ganong, Richard ; Koras, Mariusz | American Mathematical Society 2011 Nouveau

Contributions to algebraic geometry:Impanga lecture notes.Based on the Impanga conference on algebraic geometryBedlewo # july 4-10, 2010 Pragacz, Piotr | European Mathematical Society 2012 Nouveau

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Colloque d'algèbre
Mai 28-31 Guérindon, J. ; Lafon, J. P. ; Rivet, R. ; Samuel, P. | S.N. 1980 Nouveau

Group actions and vector fields :
proceedings of a polish-north american seminar held at the university of british columbia#Jan. 15 - Feb. 15 Carrell, J. C. | Springer-Verlag 1982 Nouveau

Complete intersections :
lectures given at the 1st 1983 session to the C.I.M.E. held at acireale catania#June 13-21 Greco, S. ; Strano, R. | Springer-Verlag 1984 Nouveau

Séminaire d'algèbre Paul Dubreil et Marie-Paul Malliavin
proceedings
Paris 1987-1988
39ème année Malliavin, M. P. | Springer-Verlag 1989 Nouveau

Group actions and invariant theory :
proceedings of the 1988 montreal conference#Aug. 1-6 Bialynicki-Birula, A. ; Carrell, J. C. ; Russell, P. ; Snow, D. | American Mathematical Society 1989 Nouveau

Topological Methods in Algebraic Transformation Groups
proceedings of a Conference at Rutgers University Kraft, Hanspeter ; Petrie, Ted ; Schwarz, Gerald W. | Birkhäuser 1989 Nouveau

Linear algebraic groups and their representations :
conference on linear algebraic groups and their representations#March 25-28 Elman, Richard S. ; Schacher, Murray M. ; Varadarajan, V. S. | American Mathematical Society 1993 Nouveau

Algebraic groups and their generalizations
summer research institute on ...
Pennsylvania State University
July 6-26 Haboush, William J. ; Parshall, Brian J. | American Mathematical Society 1994 Nouveau

Algebra and analysis :
proceedings of the first siberian winter school
Kemerovo State University Aleksandrov, A. D. ; Belegradek, O. V. ; Bokut, L. A. ; Ershov, Yu. L. | American Mathematical Society 1991 Nouveau

Séminaire de géométrie algébrique du Bois Marie 1962-64 SGA 3
groupes de type multiplicatif, et structure des schémas en groupes généraux II Artin, Michael ; Bertin, J. E. ; Demazure, M. ; Gabriel, P. ; Grothendieck, A. | Springer-Verlag 1970 Nouveau

Invariant theory in all characteristics :
workshop on ... held at Queen's University#April 8-19 Campbell, H. E. A. Eddy ; Wehlau, David L. | American Mathematical Society 2004 Nouveau

Geometric methods in algebra and number theory :
conference on ...#Dec. Bogomolov, Fedor ; Tschinkel, Yuri | Birkhäuser 2005 Nouveau

Séminaire Bourbaki. Vol. 1997/98 :
exposés 835-849 | Société Mathématique de France 1998 Nouveau

Studies in Lie theory :
dedicated to A. Joseph on his sixtieth birthday Bernstein, Joseph ; Hinich, Vladimir ; Melnikov, Anna | Birkhäuser 2006 Nouveau

Highlights in Lie algebraic methods. Outgrowth of a two-week summer school on structures in Lie theory, crystals, derived functors, Harish-Chandra modules, invariants and quivers
Bremen # august 2009 Joseph, Anthony ; Melnikov, Anna ; Penkov, Ivan | Birkhäuser 2012 Nouveau

Affine algebraic geometry:
the Russell festschrift.
Outgrow of an international conference held in honour of professor Peter Russell on the occasion of his 70th birthday
Montréal # june 1-5, 2009 Daigle, Daniel ; Ganong, Richard ; Koras, Mariusz | American Mathematical Society 2011 Nouveau

Contributions to algebraic geometry:
Impanga lecture notes.
Based on the Impanga conference on algebraic geometry
Bedlewo # july 4-10, 2010 Pragacz, Piotr | European Mathematical Society 2012 Nouveau