Current Developments in Algebraic GeometryLucia Caporaso Cambridge University Press, 19 мар. 2012 г. - Всего страниц: 426 Algebraic geometry is one of the most diverse fields of research in mathematics. It has had an incredible evolution over the past century, with new subfields constantly branching off and spectacular progress in certain directions, and at the same time, with many fundamental unsolved problems still to be tackled. In the spring of 2009 the first main workshop of the MSRI algebraic geometry program served as an introductory panorama of current progress in the field, addressed to both beginners and experts. This volume reflects that spirit, offering expository overviews of the state of the art in many areas of algebraic geometry. Prerequisites are kept to a minimum, making the book accessible to a broad range of mathematicians. Many chapters present approaches to long-standing open problems by means of modern techniques currently under development and contain questions and conjectures to help spur future research. |
Содержание
10eisenbud | 1 |
20bog | 17 |
30debarre | 65 |
40cat | 85 |
50hacon | 113 |
55gru | 129 |
60harris | 165 |
61huy | 177 |
62hwang | 197 |
63kollar | 227 |
64ogrady | 257 |
65olsson | 295 |
66pardini | 349 |
67pare | 379 |
68totaro | 405 |
Другие издания - Просмотреть все
Current Developments in Algebraic Geometry Lucia Caporaso,James McKernan,Mircea Mustata,Mihnea Popa Недоступно для просмотра - 2014 |
Часто встречающиеся слова и выражения
abelian varieties affine algebraic geometry algebraic varieties ample line bundle anabelian geometry assume automorphism base change Beauville birational Bogomolov canonical cohomology compactification complex component cone structure conjecture construction cubic Debarre decomposition defined Definition deformation degree denote dimension double cover equivalence relation étale example exists Fano varieties fiber fibration filtration finite first fixed flat follows function fields G-structure Galois groups genus Geom Hacon hence HK manifold Hodge structure homomorphism Huybrechts Hwang and Mok hypersurface induced infinitely integral intersection irreducible isomorphism Jacobian K3 surface Kahler Kollar Kummer Lazarsfeld Lemma linear locus Math minimal moduli space Mori morphism Mukai Mumford pencil period map ppav principally polarized projective variety Proposition proved Prym Q-factorial quadrics quotient rational curves result Schottky problem sheaf sheaves singularities smooth projective Springer stack subgroup subscheme subset subvariety surjective symplectic tangent theory theta divisor Torelli trivial Tschinkel vanishing vector VMRT