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Classification Of Irregular Varieties
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Book Synopsis Classification of Irregular Varieties by : Edoardo Ballico
Download or read book Classification of Irregular Varieties written by Edoardo Ballico and published by Springer. This book was released on 2006-12-08 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Classification of Irregular Varieties by : Edoardo Ballico
Download or read book Classification of Irregular Varieties written by Edoardo Ballico and published by . This book was released on 2014-01-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Classification of Irregular Varieties by : Edoardo Ballico
Download or read book Classification of Irregular Varieties written by Edoardo Ballico and published by Springer. This book was released on 1992-03-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Classification of Irregular Varieties by :
Download or read book Classification of Irregular Varieties written by and published by . This book was released on 1992 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Higher-dimensional Geometry Over Finite Fields by : Dmitri Kaledin
Download or read book Higher-dimensional Geometry Over Finite Fields written by Dmitri Kaledin and published by IOS Press. This book was released on 2008 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings of the NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields, Geottingen, Germany, 25 June-6 July 2007."--T.p. verso.
Book Synopsis Tangents and Secants of Algebraic Varieties by : F. L. Zak
Download or read book Tangents and Secants of Algebraic Varieties written by F. L. Zak and published by American Mathematical Soc.. This book was released on 1993 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book is devoted to geometry of algebraic varieties in projective spaces. Among the objects considered in some detail are tangent and secant varieties, Gauss maps, dual varieties, hyperplane sections, projections, and varieties of small codimension. Emphasis is made on the study of interplay between irregular behavior of (higher) secant varieties and irregular tangencies to the original variety. Classification of varieties with unusual tangential properties yields interesting examples many of which arise as orbits of representations of algebraic groups."--ABSTRACT.
Book Synopsis A Classification of the Varieties of Cultivated Oats by : William Carlyle Etheridge
Download or read book A Classification of the Varieties of Cultivated Oats written by William Carlyle Etheridge and published by . This book was released on 1916 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Adjunction Theory of Complex Projective Varieties by : Mauro C. Beltrametti
Download or read book The Adjunction Theory of Complex Projective Varieties written by Mauro C. Beltrametti and published by Walter de Gruyter. This book was released on 2011-06-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Book Synopsis Complex Abelian Varieties by : Christina Birkenhake
Download or read book Complex Abelian Varieties written by Christina Birkenhake and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the theory of abelian varieties over the field of complex numbers, explaining both classic and recent results in modern language. The second edition adds five chapters on recent results including automorphisms and vector bundles on abelian varieties, algebraic cycles and the Hodge conjecture. ". . . far more readable than most . . . it is also much more complete." Olivier Debarre in Mathematical Reviews, 1994.
Book Synopsis Hodge Numbers of Irregular Varieties and Fibrations by : Víctor González Alonso
Download or read book Hodge Numbers of Irregular Varieties and Fibrations written by Víctor González Alonso and published by . This book was released on 2013 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we study the geography of irregular complex projective (or compact Kähler) varieties, paying special attention to the existence of fibrations. The thesis is divided into two parts. In the first one we consider irregular varieties of arbitrary dimension, looking for bounds for the Hodge numbers in the absence of fibrations. In first place, by truncating the BGG complex of the variety (an object recently introduced by Lazarsfeld and Popa), we get lower bounds on the partial Euler characteristics. In order to improve these first results, we define the higher-rank derivative complexes (generalizing the derivative complex introduced by Green and Lazarsfeld). We study their exactness by means of the Eagon-Northcott complexes, and we obtain some inequalities between the Hodge numbers of varieties admitting some kind of subspaces of 1-forms (¿non-degenerate subspaces¿). In the case of subvarieties of Abelian varieties, the existence of non-degenerate subspaces of any dimension allows us to obtain better inequalities than in the general case. In the case of ĥ(2,0), a different method gives a much better result. In fact, the bound is much stronger, and the only hypothesis needed is the non-existence of higher irrational pencils (a priori, less restrictive than the existence of non-degenerate subspaces). To close, using the Grassmannian BGG complex (a generalization of the BGG complex that aggregates all the higher-rank derivative complexes) and computing the Chern classes of its last cokernel, we recover the same bound for ĥ(2,0) using the general results mentioned in the previous paragraph. In the second part, the scope is restricted to surfaces fibred over a curve. We look for upper bounds for the relative irregularity in terms of properties of the general fibre, in the spirit of the inequality obtained by Xiao for non-isotrivial fibrations over a rational curve. Xiao conjectured the same inequality to hold for fibrations over any base, but Pirola found a counterexample. After that, a corrected conjecture was proposed. The result obtained in this thesis is a bound depending on the genus and the Clifford index of a general fibre, which coincides with the corrected conjecture in the case of maximal Clifford index. We have used several techniques in our proof. On the one hand, the ¿adjoint images¿ play a crucial role. The adjoint images were introduced by Collino and Pirola to study infinitesimal deformations of smooth curves, and generalized later by Pirola and Zucconi to higher-dimensional varieties. In this thesis we construct the ¿global adjoint map¿, which allows to find subspaces with vanishing adjoint image assuming that the kernel of the infinitesimal deformation has dimension (at least) half the genus of the cruve. More generally, the global adjoint map can also be defined for infinitesimal deformations of irregular varieties of any dimension, and allows to find numerical conditions that guarantee the existence of subspaces with vanishing adjoint. On the other hand, we have extended to arbitrary (one-dimensional) families of curves some well-stablished concepts of infinitesimal deformations, related with the bicanonical embedding of the curve. As the global adjoint map, some of these constructions can also be extended to families of irregular varieties of arbitrary dimension. Finally, all these previous constructions lead to a structural result for fibrations supported on a relatively rigid divisor. With this result we can treat some cases of the conjecture of Xiao. The remaining cases are solved using an inequality for the rank of an infinitesimal deformation in terms of a supporting divisor (its degree and the dimension of its complete linear series). This inequality, which we reprove, is originally due to Ginensky.
Book Synopsis Positivity in Algebraic Geometry II by : R.K. Lazarsfeld
Download or read book Positivity in Algebraic Geometry II written by R.K. Lazarsfeld and published by Springer. This book was released on 2017-07-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two volume work containing a contemporary account on "Positivity in Algebraic Geometry". Both volumes also available as hardcover editions as Vols. 48 and 49 in the series "Ergebnisse der Mathematik und ihrer Grenzgebiete". A good deal of the material has not previously appeared in book form. Volume II is more at the research level and somewhat more specialized than Volume I. Volume II contains a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. Contains many concrete examples, applications, and pointers to further developments
Book Synopsis Complex and Differential Geometry by : Wolfgang Ebeling
Download or read book Complex and Differential Geometry written by Wolfgang Ebeling and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.
Book Synopsis Current Developments in Algebraic Geometry by : Lucia Caporaso
Download or read book Current Developments in Algebraic Geometry written by Lucia Caporaso and published by Cambridge University Press. This book was released on 2012-03-19 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Book Synopsis Birational Geometry of Hypersurfaces by : Andreas Hochenegger
Download or read book Birational Geometry of Hypersurfaces written by Andreas Hochenegger and published by Springer Nature. This book was released on 2019-10-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results. The aim of the school was to shed light on this vast area of research by concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The connection between K3 surfaces, hyperkähler geometry and cubic fourfolds, which has both a Hodge-theoretic and a homological side. Featuring the beautiful lectures given at the school by Jean-Louis Colliot-Thélène, Daniel Huybrechts, Emanuele Macrì, and Claire Voisin, the volume also includes additional notes by János Kollár and an appendix by Andreas Hochenegger.
Book Synopsis Explicit Formulas by : Jay Jorgenson
Download or read book Explicit Formulas written by Jay Jorgenson and published by Springer. This book was released on 2006-11-14 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Current Topics in Complex Algebraic Geometry by : Charles Herbert Clemens
Download or read book Current Topics in Complex Algebraic Geometry written by Charles Herbert Clemens and published by Cambridge University Press. This book was released on 1995 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1992/93 academic year at the Mathematical Sciences Research Institute was devoted to complex algebraic geometry. This volume collects survey articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change. The editors of the volume, Herbert Clemens and János Kollár, chaired the organizing committee. This book gives a good idea of the intellectual content of the special year and of the workshops. Its articles represent very well the change of direction and branching out witnessed by algebraic geometry in the last few years.
Book Synopsis The Geometry of Algebraic Cycles by : Reza Akhtar
Download or read book The Geometry of Algebraic Cycles written by Reza Akhtar and published by American Mathematical Soc.. This book was released on 2010 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of algebraic cycles has its roots in the study of divisors, extending as far back as the nineteenth century. Since then, and in particular in recent years, algebraic cycles have made a significant impact on many fields of mathematics, among them number theory, algebraic geometry, and mathematical physics. The present volume contains articles on all of the above aspects of algebraic cycles. It also contains a mixture of both research papers and expository articles, so that it would be of interest to both experts and beginners in the field.
