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Author: Edoardo Ballico
Publisher: Springer
ISBN: 3540470166
Category : Mathematics
Languages : en
Pages : 155
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Book Description
M. Andreatta, E. Ballico, J. Wisniewski: Projective manifolds containing large linear subspaces; - F. Bardelli: Algebraic cohomology classes on some specialthreefolds; - Ch. Birkenhake, H. Lange: Norm-endomorphisms of abelian subvarieties; - C. Ciliberto, G.van der Geer: On the jacobian of ahyperplane section of a surface; - C. Ciliberto, H. Harris, M. Teixidor i Bigas: On the endomorphisms of Jac (W1d(C)) when p=1 and C has general moduli; - B. van Geemen: Projective models of Picard modular varieties; - J. Kollar, Y. Miyaoka, S. Mori: Rational curves on Fano varieties; - R. Salvati Manni: Modular forms of the fourth degree; A. Vistoli: Equivariant Grothendieck groups and equivariant Chow groups; - Trento examples; Open problems.
Author: Edoardo Ballico
Publisher: Springer
ISBN: 3540470166
Category : Mathematics
Languages : en
Pages : 155
Get Book Here
Book Description
M. Andreatta, E. Ballico, J. Wisniewski: Projective manifolds containing large linear subspaces; - F. Bardelli: Algebraic cohomology classes on some specialthreefolds; - Ch. Birkenhake, H. Lange: Norm-endomorphisms of abelian subvarieties; - C. Ciliberto, G.van der Geer: On the jacobian of ahyperplane section of a surface; - C. Ciliberto, H. Harris, M. Teixidor i Bigas: On the endomorphisms of Jac (W1d(C)) when p=1 and C has general moduli; - B. van Geemen: Projective models of Picard modular varieties; - J. Kollar, Y. Miyaoka, S. Mori: Rational curves on Fano varieties; - R. Salvati Manni: Modular forms of the fourth degree; A. Vistoli: Equivariant Grothendieck groups and equivariant Chow groups; - Trento examples; Open problems.
Author: Yujiro Kawamata
Publisher: Cambridge University Press
ISBN: 1009344676
Category : Mathematics
Languages : en
Pages : 263
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Book Description
The finite generation theorem is a major achievement of modern algebraic geometry. Based on the minimal model theory, it states that the canonical ring of an algebraic variety defined over a field of characteristic zero is a finitely generated graded ring. This graduate-level text is the first to explain this proof. It covers the progress on the minimal model theory over the last 30 years, culminating in the landmark paper on finite generation by Birkar-Cascini-Hacon-McKernan. Building up to this proof, the author presents important results and techniques that are now part of the standard toolbox of birational geometry, including Mori's bend and break method, vanishing theorems, positivity theorems and Siu's analysis on multiplier ideal sheaves. Assuming only the basics in algebraic geometry, the text keeps prerequisites to a minimum with self-contained explanations of terminology and theorems.
Author: William Carlyle Etheridge
Publisher:
ISBN:
Category : Oats
Languages : en
Pages : 132
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Book Description
Author: Dmitri Kaledin
Publisher: IOS Press
ISBN: 1586038559
Category : Mathematics
Languages : en
Pages : 356
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Book Description
"Proceedings of the NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields, Geottingen, Germany, 25 June-6 July 2007."--T.p. verso.
Author: Claire Voisin
Publisher: Cambridge University Press
ISBN: 1139437690
Category : Mathematics
Languages : en
Pages : 336
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Book Description
The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.
Author: Claire Voisin
Publisher: Cambridge University Press
ISBN: 1139437704
Category : Mathematics
Languages : en
Pages : 363
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Book Description
The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether–Lefschetz theorems, the generic triviality of the Abel–Jacobi maps, and most importantly Nori's connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.
Author: Jay Jorgenson
Publisher: Springer
ISBN: 3540490418
Category : Mathematics
Languages : en
Pages : 156
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Book Description
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example.
Author: Mark L. Green
Publisher: Springer Science & Business Media
ISBN: 9783540586920
Category : Mathematics
Languages : en
Pages : 292
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Book Description
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.
Author: Edoardo Ballico
Publisher:
ISBN: 9783662188606
Category :
Languages : en
Pages : 164
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Book Description
Author: Norihiko Kazamaki
Publisher: Springer
ISBN: 3540484213
Category : Mathematics
Languages : en
Pages : 102
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Book Description
In three chapters on Exponential Martingales, BMO-martingales, and Exponential of BMO, this book explains in detail the beautiful properties of continuous exponential martingales that play an essential role in various questions concerning the absolute continuity of probability laws of stochastic processes. The second and principal aim is to provide a full report on the exciting results on BMO in the theory of exponential martingales. The reader is assumed to be familiar with the general theory of continuous martingales.
