Automorphisms in Birational and Affine Geometry
Levico Terme, Italy, October 2012
(Sprache: Englisch)
The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection...
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Klappentext zu „Automorphisms in Birational and Affine Geometry “
The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics.Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference "Groups of Automorphisms in Birational and Affine Geometry" held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.
Inhaltsverzeichnis zu „Automorphisms in Birational and Affine Geometry “
- PrefacePart I: Birational Transformation Groups and related Geometry
1.H. Ahmadinezhad, I. Cheltsov, C. Shramov: Birational geometry of del Pezzo fibrations
2.J. Blanc, F. Mangolte: Real Cremona Groups
3.T. de Fernex: The birational rigidity problem for Fano hypersurfaces
4.T. Eckl, A. Pukhlikov: On the locus of non-rigid hypersurfaces
5.I. Karzhemanov: Stable rationality and pencils on P^n
6.T. Kishimoto: Topics in affine and birational geometry
7. S. Lamy: On the genus of birational maps between 3-folds
8.I. Pan and A. Rittatore: Some remarks about the Zariski topology of the Cremona group
Part II: Automorphism groups of (Affine) Algebraic Varieties
9.A. Assi: TBA
10.A. Dubouloz, L. Moser-Jauslin, P
- M. Poloni: Automorphism groups of certain rational hypersurfaces in complex affine four-space
11.A. Dubouloz, D. Finston, I. Jaradat: Proper G_a-actions on complex four space
12.G. Freudenburg: TBA
5.R.V. Gurjar, K. Masuda, M. Miyanishi: Deformations of A^1-fibrations
13. A. Kanel-Belov: TBA
14.S. Kuroda: How to use the Shestakov-Umirbaev theory
15.F. Kutzschebauch: Flexibility properties in Affine Algebraic Geometry and Complex Analysis
16.A. Lewis: Strongly residual coordinates over C[x]
17.A. Liendo: Additive group actions on normal T-varieties
18.V. Lin, M. Zaidenberg: Automorphism groups of configuration spaces
19.L. Makar-Limanov: Unreasonable usefulness of locally nilpotent derivations
20.A. Massarenti, M. Mella: Automorphisms of moduli spaces of pointed curves
21.S. Maubach, R. Willems: Keller maps of low degree over finite fields
22.P. Mondal: Minimal normal analytic compactifications of C^2
Part III: Algebraic Group Actions
23.I. Arzhantsev: Demazure roots and automorphisms of algebraic varieties
24.M. Brion: On algebraic semigroups of transformations
25.J. Hausen: A survey on Fano varietites with torus action
26.K. Langlois, A. Liendo: Demazure roots and Galois
... mehr
descent for affine T-varieties of complexity one
27.V. L. Popov: Jordan groups and automorphism groups of algebraic varieties
28.S. Verra: TBA
29.De-Qi Zhang: Dynamics of automorphisms of projective or Kaehler manifolds
30.F. Zucconi: TBA
27.V. L. Popov: Jordan groups and automorphism groups of algebraic varieties
28.S. Verra: TBA
29.De-Qi Zhang: Dynamics of automorphisms of projective or Kaehler manifolds
30.F. Zucconi: TBA
... weniger
Bibliographische Angaben
- 2014, 2014, IX, 518 Seiten, Maße: 16,3 x 24,2 cm, Gebunden, Englisch
- Herausgegeben: Ivan Cheltsov, Ciro Ciliberto, Hubert Flenner, James McKernan, Yuri G. Prokhorov, Mikhail Zaidenberg
- Verlag: Springer, Berlin
- ISBN-10: 3319056808
- ISBN-13: 9783319056807
Sprache:
Englisch
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