Download or read book Deformations of Coherent Analytic Sheaves with Compact Supports written by Yum-Tong Siu and published by American Mathematical Soc.. This book was released on 1981 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is devoted to the construction of a semi-universal deformation of any coherent analytic sheaf on a complex space which has compact support. The procedure is constructive and elementary. It uses the power series method and the division and extension theory of ideals in power series rings developed by Grauert. This procedure has a number of important special features involving new techniques, three of which this paper explores at some length.
Download or read book Deformations of Coherent Analytic Sheaves with Compact Supports written by American Mathematical Society and published by . This book was released on 1981 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Varietes Analytiques Compactes written by Y. Hervier and published by Springer. This book was released on 2006-11-15 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Geometry written by Ingrid Bauer and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of research papers dedicated to Hans Grauert on the occasion of his seventieth birthday. Hans Grauert is a pioneer in modern complex analysis, continuing the il lustrious German tradition in function theory of several complex variables of Weierstrass, Behnke, Thullen, Stein, Siegel, and many others. When Grauert came on the scene in the early 1950's, function theory was going through a revolutionary period with the geometric theory of complex spaces still in its embryonic stage. A rich theory evolved with the joint efforts of many great mathematicians including Oka, Kodaira, Cartan, and Serre. The Car tan Seminar in Paris and the Kodaira Seminar provided important venues an for its development. Grauert, together with Andreotti and Remmert, took active part in the latter. In his career he has nurtured a great number of his own doctoral students as well as other young mathematicians in his field from allover the world. For a couple of decades his work blazed the trail and set the research agenda in several complex variables worldwide. Among his many fundamentally important contributions, which are too numerous to completely enumerate here, are: 1. The complete clarification of various notions of complex spaces. 2. The solution of the general Levi problem and his work on pseudo convexity for general manifolds. 3. The theory of exceptional analytic sets. 4. The Oka principle for holomorphic bundles. 5. The proof of the Mordell conjecture for function fields. 6. The direct image theorem for coherent sheaves.
Download or read book Reviews in Complex Analysis 1980 86 written by and published by . This book was released on 1989 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gap Sheaves and Extension of Coherent Analytic Subsheaves written by Yum-Tong Siu and published by Springer. This book was released on 2006-11-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications of Sheaves written by M. P. Fourman and published by Springer. This book was released on 2006-11-15 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Theory of Generalized Donaldson Thomas Invariants written by Dominic D. Joyce and published by American Mathematical Soc.. This book was released on 2011 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies generalized Donaldson-Thomas invariants $\bar{DT}{}^\alpha(\tau)$. They are rational numbers which `count' both $\tau$-stable and $\tau$-semistable coherent sheaves with Chern character $\alpha$ on $X$; strictly $\tau$-semistable sheaves must be counted with complicated rational weights. The $\bar{DT}{}^\alpha(\tau)$ are defined for all classes $\alpha$, and are equal to $DT^\alpha(\tau)$ when it is defined. They are unchanged under deformations of $X$, and transform by a wall-crossing formula under change of stability condition $\tau$. To prove all this, the authors study the local structure of the moduli stack $\mathfrak M$ of coherent sheaves on $X$. They show that an atlas for $\mathfrak M$ may be written locally as $\mathrm{Crit}(f)$ for $f:U\to{\mathbb C}$ holomorphic and $U$ smooth, and use this to deduce identities on the Behrend function $\nu_\mathfrak M$. They compute the invariants $\bar{DT}{}^\alpha(\tau)$ in examples, and make a conjecture about their integrality properties. They also extend the theory to abelian categories $\mathrm{mod}$-$\mathbb{C}Q\backslash I$ of representations of a quiver $Q$ with relations $I$ coming from a superpotential $W$ on $Q$.
Download or read book Complex Analysis written by Klas Diederich and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the International Workshop "Complex Analysis", which was held from February 12-16, 1990, in Wuppertal (Germany) in honour of H. Grauert, one of the most creative mathematicians in Complex Analysis of this century. In complete accordance with the width of the work of Grauert the book contains research notes and longer articles of many important mathematicians from all areas of Complex Analysis (Altogether there a re 49 articles in the volume). Some of the main subjects are: Cau chy-Riemann Equations with estimates, q-convexity, CR structures, deformation theory, envelopes of holomorphy, function algebras, complex group actions, Hodge theory, instantons, Kähler geometry, Lefschetz theorems, holomorphic mappings, Nevanlinna theory, com plex singularities, twistor theory, uniformization.
Download or read book Several Complex Variables IV written by Semen G. Gindikin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.
Download or read book Algebraic Geometry Santa Cruz 1995 written by János Kollár and published by American Mathematical Soc.. This book was released on 1997 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 1226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Collectanea Mathematica written by and published by . This book was released on 2006 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by and published by . This book was released on 1980 with total page 1090 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book S gaku Expositions written by and published by . This book was released on 1988 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Subject Guide to Books in Print written by and published by . This book was released on 1993 with total page 2118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Annales scientifiques de l cole normale sup rieure written by École normale supérieure (France) and published by . This book was released on 1979 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
