Author: Renzo John MullanyPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Birationally Rigid Singular Fano Varieties
Author: Renzo John MullanyBirationally Rigid Varieties
Author: Aleksandr V. PukhlikovPublisher: American Mathematical Soc.
ISBN: 0821894765
Category : Mathematics
Languages : en
Pages : 378
Book Description
Birational rigidity is a striking and mysterious phenomenon in higher-dimensional algebraic geometry. It turns out that certain natural families of algebraic varieties (for example, three-dimensional quartics) belong to the same classification type as the
Birationally Rigid Fano Varieties
Author: A. V. PukhlikovBirationally Rigid Fano Threefold Hypersurfaces
Author: Ivan CheltsovPublisher: American Mathematical Soc.
ISBN: 1470423162
Category : Mathematics
Languages : en
Pages : 130
Book Description
The authors prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher and Reid is birationally rigid.
Birationally rigid varieties with a pencil of Fano double covers
Author: Automorphisms in Birational and Affine Geometry
Author: Ivan CheltsovPublisher: Springer
ISBN: 3319056816
Category : Mathematics
Languages : en
Pages : 509
Book Description
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.
Explicit Birational Geometry of 3-folds
Author: Alessio CortiPublisher: Cambridge University Press
ISBN: 9780521636414
Category : Mathematics
Languages : en
Pages : 364
Book Description
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.
The Calabi Problem for Fano Threefolds
Author: Carolina AraujoPublisher: Cambridge University Press
ISBN: 1009193392
Category : Mathematics
Languages : en
Pages : 451
Book Description
This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
Russian Mathematical Surveys
Author: Arithmetic Geometry
Author: Clay Mathematics Institute. Summer SchoolPublisher: American Mathematical Soc.
ISBN: 0821844768
Category : Mathematics
Languages : en
Pages : 570
Book Description
Based on survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the University of Gottingen, this tile is intended for graduate students and recent PhD's. It introduces readers to modern techniques and conjectures at the interface of number theory and algebraic geometry.