The Hilbert Scheme of Points on a Nodal Surface
Author | : Howard Nuer |
Publisher | : |
Total Pages | : 0 |
Release | : 2007 |
Genre | : |
ISBN | : |
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Author | : Howard Nuer |
Publisher | : |
Total Pages | : 0 |
Release | : 2007 |
Genre | : |
ISBN | : |
Author | : Hiraku Nakajima |
Publisher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821819569 |
It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory - even theoretical physics. This book reflects this feature of Hilbert schemes.
Author | : Hwa Young Lee |
Publisher | : |
Total Pages | : 164 |
Release | : 2009 |
Genre | : Hilbert schemes |
ISBN | : |
Author | : Zhenbo Qin |
Publisher | : |
Total Pages | : |
Release | : 2018 |
Genre | : MATHEMATICS |
ISBN | : 9781470443894 |
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2014 |
Genre | : |
ISBN | : |
Author | : Edoardo Sernesi |
Publisher | : Springer Science & Business Media |
Total Pages | : 343 |
Release | : 2007-04-20 |
Genre | : Mathematics |
ISBN | : 3540306153 |
This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.
Author | : John B. Little |
Publisher | : |
Total Pages | : 44 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Gyenge Ádám |
Publisher | : |
Total Pages | : 126 |
Release | : 2016 |
Genre | : |
ISBN | : |
Author | : Carel Faber |
Publisher | : Birkhäuser |
Total Pages | : 403 |
Release | : 2016-04-22 |
Genre | : Mathematics |
ISBN | : 331929959X |
This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics. K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry. Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.
Author | : Brendan Hassett |
Publisher | : American Mathematical Soc. |
Total Pages | : 614 |
Release | : 2013-09-11 |
Genre | : Mathematics |
ISBN | : 0821889834 |
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).